Full Test Bank Chapter 6 Continuous Random Variables And The

Introductory Statistics, 10e (Mann)

Chapter 6 Continuous Random Variables and the Normal Distribution

6.1 Continuous Probability Distribution and the Normal Probability Distribution

1) A continuous random variable is a random variable that can:

A) assume only a countable set of values

B) assume any value in one or more intervals

C) have no random sample

D) assume no continuous random frequency

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 001

2) The relative frequency density for a class is obtained by dividing the:

A) frequency of that class by the class width

B) relative frequency of that class by the total frequency

C) relative frequency of that class by the class width

D) frequency of that class by the relative frequency

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 002

3) For a continuous random variable x, the probability that x assumes a value in an interval is:

A) in the range zero to 1

B) greater than 1

C) less than zero

D) greater than 2

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 003

4) For a continuous random variable x, the area under the probability distribution curve between any two points is always:

A) greater than 1

B) less than zero

C) equal to 1

D) in the range zero to 1

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 004

5) For a continuous random variable x, the total probability of all (mutually exclusive) intervals within which x can assume a value is:

A) less than 1

B) greater than 1

C) equal to 1

D) between zero and 1

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 005

6) For a continuous random variable x, the total area under the probability distribution curve of x is always:

A) less than 1

B) greater than 1

C) equal to 1

D) between zero and 1

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 006

7) The probability that a continuous random variable x assumes a single value is always:

A) less than 1

B) greater than zero

C) equal to zero

D) between zero and 1

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 007

8) The normal probability distribution is applied to:

A) a discrete random variable

B) a continuous random variable

C) any random variable

D) a subjective random variable

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 008

9) Which of the following is not a characteristic of the normal distribution?

A) The total area under the curve is 1.0

B) The curve is symmetric about the mean

C) The value of the mean is always greater than the value of the standard deviation

D) The two tails of the curve extend indefinitely

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 009

10) The total area under a normal distribution curve to the left of the mean is always:

A) equal to 1

B) equal to zero

C) equal to 0.5

D) greater than .5

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 010

11) The total area under a normal distribution curve to the right of the mean is always:

A) equal to 1

B) equal to zero

C) equal to 0.5

D) greater than .5

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 011

12) The tails of a normal distribution curve:

A) meet the horizontal axis at z = 3.0

B) never meet or cross the horizontal axis

C) cross the horizontal axis at z = 4.0

D) are nonsymmetric

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 012

13) The parameters of the normal distribution are:

A) μ and σ

B) μ, x, and σ

C) μ, σ, and z

D) μ, x, z, and σ

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 013

14) For a normal distribution, the spread of the curve decreases and its height increases as:

A) the sample size decreases

B) the standard deviation decreases

C) the ratio of the mean and standard deviation increases

D) the mean increases

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 014

15) For the standard normal distribution, the mean is:

A) 1 and the standard deviation is zero

B) 0.5 and the standard deviation is 0.5

C) zero and the standard deviation is 1

D) 1 and the standard deviation is 1

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 015

16) For the standard normal distribution, the z value gives the distance between the mean and a point in terms of the:

A) mean

B) standard deviation

C) variance

D) center of the curve

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 016

17) For a normal distribution, the z value for an x value that is to the right of the mean is always:

A) equal to zero

B) negative

C) greater than 1

D) positive

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 017

18) For a normal distribution, the z value for an x value that is to the left of the mean is always:

A) equal to zero

B) negative

C) less than 1

D) positive

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 018

19) For a normal distribution, the z value for the mean is always:

A) equal to zero

B) negative

C) equal to 1

D) positive

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 019

20) For the standard normal distribution, the area between z = 0 and rounded to four decimal places, is:

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 020

21) For the standard normal distribution, the area between z = 0 and rounded to four decimal places, is:

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 021

22) For the standard normal distribution, the area to the right of z = 1.75, rounded to four decimal places, is:

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 022

23) For the standard normal distribution, the area to the right of rounded to four decimal places, is:

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 023

24) For the standard normal distribution, the area to the left of rounded to four decimal places, is:

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 024

25) For the standard normal distribution, the area to the left of rounded to four decimal places, is:

Diff: 1

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 025

26) For the standard normal distribution, the area between z = 0.47 and z = 1.92, rounded to four decimal places, is:

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 026

27) For the standard normal distribution, the area between and rounded to four decimal places, is:

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 027

28) For the standard normal distribution, the area between and rounded to four decimal places, is:

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 028

29) You are given that the area under the standard normal curve to the left of is equal to 0.2177. What is P(-0.78 < z < 0.78)?

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 029

30) The accountant at a department store is analyzing the credit card purchases of 100 of the store's cardholders over the past year. The following table lists the frequency distribution of the continuous random variable x, annual credit card purchases.

What is the relative frequency density of the 400 to less than 600 class? (Round your answer to 5 decimal places.)

Diff: 2

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 030

31) There are 250 players in a particular youth soccer league that has 11 teams. The league statistician is tabulating the total goals scored over the past season by each player. She assigns the random variable y to represent these totals, and then assigns the following categories for y: 0 to less than 4, 4 to less than 8, 8 to less than 12, 12 to less than 16, 16 to less than 20, and 20 to less than 24. The relative frequency density for the 8 to less than 12 class is 0.041. How many of the players scored between 8 and less than 12 goals?

Diff: 3

LO: 6.1.0 Demonstrate an understanding of continuous probability distributions and the normal probability distribution.

Section: 6.1 Continuous Probability Distributions and the Normal Distribution

Question Title: Chapter 06, Testbank Question 031

6.2 Standardizing a Normal Distribution

1) Let x have a normal distribution with a mean of 58.8 and a standard deviation of 2.77. The z value for rounded to two decimal places, is:

Diff: 1

LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution

Question Title: Chapter 06, Testbank Question 032

2) Let x have a normal distribution with a mean of 108.2 and a standard deviation of 10.09. The z value for rounded to two decimal places, is:

Diff: 1

LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution

Question Title: Chapter 06, Testbank Question 033

3) Let x have a normal distribution with a mean of 5.9 and a standard deviation of 3.02. The z value for rounded to two decimal places, is:

Diff: 1

LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution

Question Title: Chapter 06, Testbank Question 034

4) Let x have a normal distribution with a mean of -35.6 and a standard deviation of 10.28. The z value for rounded to two decimal places, is:

Diff: 1

LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution

Question Title: Chapter 06, Testbank Question 035

5) According to the Empirical rule, what percent of the data should be between 422 and 1342 for a population with mean of 882 and standard deviation of 230?

A) 95.44%

B) 47.72%

C) 68.26%

D) 99.74%

Diff: 1

LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution

Question Title: Chapter 06, Testbank Question 036

6) According to the Empirical rule, 99.74% of the data would fall between what two values for a population with mean of 726 and standard deviation of 177?

A) 195 and 1257

B) 372 and 1080

C) 549 and 903

D) 637.5 and 814.5

Diff: 1

LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution

Question Title: Chapter 06, Testbank Question 037

7) For a normal curve, changing the mean from 37 to 33 will cause the curve to shift:

A) to the right

B) to the left

C) up

D) down

Diff: 1

LO: 6.2.0 Demonstrate how to standardize a normal distribution to find probabilities.

Section: 6.2 Standardizing a Normal Distribution

Question Title: Chapter 06, Testbank Question 038

6.3 Applications of the Normal Distribution

1) The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 410 and a standard deviation of 35. The probability that the score of a randomly selected examinee is between 400 and 480, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 039

2) The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 410 and a standard deviation of 49. The probability that the score of a randomly selected examinee is less than 370, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 040

3) The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 460 and a standard deviation of 45. The probability that the score of a randomly selected examinee is more than 530, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 041

4) The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1170 and a standard deviation of 133. The probability that the sales on a given day at this store are more than $1,405, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 042

5) The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1320 and a standard deviation of 148. The probability that the sales on a given day at this store are less than $1,305, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 043

6) The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1240 and a standard deviation of 104. The probability that the sales on a given day at this store are between $1,200 and $1,300, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 044

7) The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 32.82 and a standard deviation of 0.57. The probability that the net weight of a randomly selected box of these cookies is more than 32.6 ounces, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 045

8) The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 32.15 and a standard deviation of 0.80. The probability that the net weight of a randomly selected box of these cookies is less than 31.58 ounces, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 046

9) The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 31.76 and a standard deviation of 0.58. The probability that the net weight of a randomly selected box of these cookies is between 31.8 and 32.5 ounces, rounded to four decimal places, is:

Diff: 3

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 047

10) The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.58 and a standard deviation of 1.82. The probability that the height of a randomly selected female college basketball player is more than 65.8 inches, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 048

11) The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.59 and a standard deviation of 2.23. The probability that the height of a randomly selected female college basketball player is less than 67.2 inches, rounded to four decimal places, is:

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 049

12) The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.92 and a standard deviation of 1.82. The probability that the height of a randomly selected female college basketball player is between 63.9 and 69.2 inches, rounded to four decimal places, is:

Diff: 3

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 050

13) We know that the length of time required for a student to complete a particular aptitude test has a normal distribution with a mean of 39.5 minutes and a variance of 4.7 minutes. What is the probability, rounded to four decimal places, that a given student will complete the test in more than 36 minutes but less than 43 minutes?

Diff: 2

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 051

14) A floor tiling contractor has just sent Tina out on a job without any indication of the size of the job. She does know that, over the years, the number of tiles required for each job has followed a normal distribution with a mean of 581 and a standard deviation of 201. She can either take the large truck (which is very difficult and expensive to drive) or the small truck to the job site. She is certain that the large truck can hold enough tiles to do the job, but she would prefer to take the small truck if she can. The small truck can carry up to 760 tiles. Because the job site is out of town, she can only make one trip. What is the probability that the small truck will carry enough tiles to do the job?

Diff: 3

LO: 6.3.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.3 Applications of the Normal Distribution

Question Title: Chapter 06, Testbank Question 052

6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known

1) The area under the standard normal curve from zero to z is 0.0910 and z is positive. The value of z is:

Diff: 1

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 053

2) The area under the standard normal curve from zero to z is 0.2157 and z is negative. The value of z is:

Diff: 1

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 054

3) The area under the standard normal curve to the right of z is 0.0262 and z is positive. The value of z is:

Diff: 1

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 055

4) The area under the standard normal curve to the left of z is 0.0446 and z is negative. The value of z is:

Diff: 1

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 056

5) Suppose that the distribution for a random variable x is normal with mean 14 and standard deviation σ, and P(x < 0) = 0.0864. Rounded to two decimal places, what is σ?

Diff: 3

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 057

6) The ages of adults in a certain community follow a normal distribution with mean 38.5 and standard deviation 6.68. The random variable x represents the age of a randomly selected adult from this community. Given that P(35 < x < a) = .1700, what is a to the nearest year?

Diff: 3

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 058

7) Let x be a continuous random variable that follows a normal distribution with a mean of 226 and a standard deviation of 22.

Find the value of x so that the area under the normal curve to the left of x is approximately 0.8078. (Round your answer to two decimal places.)

Diff: 2

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 059

8) Let x be a continuous random variable that follows a normal distribution with a mean of 254 and a standard deviation of 46.

Find the value of x so that the area under the normal curve to the right of x is approximately 0.0041. (Round your answer to two decimal places.)

Diff: 2

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 060

9) Let x be a continuous random variable that follows a normal distribution with a mean of 218 and a standard deviation of 42.

Find the value of x so that the area under the normal curve between μ and x is approximately 0.4147 and the value of x is less than μ. (Round your answer to two decimal places.)

Diff: 3

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 061

10) Let x be a continuous random variable that follows a normal distribution with a mean of 219 and a standard deviation of 51.

Find the value of x so that the area under the normal curve between μ and x is approximately 0.4978 and the value of x is greater than μ. (Round your answer to two decimal places.)

Diff: 3

LO: 6.4.0 Demonstrate how to use the normal distribution to find the probability of an event in the context of an application.

Section: 6.4 Determining the z and x Values When an Area Under the Normal Distribution Curve is Known

Question Title: Chapter 06, Testbank Question 062

6.5 The Normal Approximation to the Binomial Distribution

1) We can use the normal distribution to approximate the binomial distribution when:

A) the sample size is at least 30

B) np and nq are both less than 5

C) np and nq are both more than 5

D) nx is greater than 30

Diff: 1

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 063

2) We know that 59% of all adults are in favor of abolishing the sales tax and increasing the income tax. Suppose we take a random sample of 381 adults and obtain their opinions on the issue. The probability that exactly 250 will be in favor of abolishing the sales tax and increasing the income tax is approximately:

Diff: 1

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 064

3) We know that 57% of all adults are in favor of abolishing the sales tax and increasing the income tax. Suppose we take a random sample of 421 adults and obtain their opinions on the issue. The probability that 225 or fewer will be in favor of abolishing the sales tax and increasing the income tax is approximately:

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 065

4) We know that 62% of all adults are in favor of abolishing the sales tax and increasing the income tax. Suppose we take a random sample of 408 adults and obtain their opinions on the issue. The probability that 250 to 265 will be in favor of abolishing the sales tax and increasing the income tax is approximately:

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 066

5) We know that football is the favorite sport to watch on television for 36% of adults in the United States. Suppose we take a random sample of 500 adults and obtain their opinions on their favorite sport to watch on television. The probability that 180 to 215 will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 067

6) We know that football is the favorite sport to watch on television for 38% of adults in the United States. Suppose we take a random sample of 525 adults and obtain their opinions on their favorite sport to watch on television. The probability that 193 or more will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 068

7) We know that football is the favorite sport to watch on television for 41% of adults in the United States. Suppose we take a random sample of 499 adults and obtain their opinions on their favorite sport to watch on television. The probability that 170 to 190 will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 069

8) In a recent Gallup poll, 58% of parents with children under 18 years of age gave themselves a grade of B for the job they are doing bringing up their kids. Assume that this percentage is true for the current population of all parents with children under 18 years of age. You take a random sample of 963 such parents and ask them to give themselves a grade for the job they are doing bringing up their kids. The probability that 560 or more will give themselves a grade of B is approximately: (Round the answer to 4 decimal places.)

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 070

9) In a recent Gallup poll, 55% of parents with children under 18 years of age gave themselves a grade of B for the job they are doing bringing up their kids. Assume that this percentage is true for the current population of all parents with children under 18 years of age. You take a random sample of 1012 such parents and ask them to give themselves a grade for the job they are doing bringing up their kids. The probability that 550 or less will give themselves a grade of B is approximately: (Round the answer to 4 decimal places.)

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 071

10) In a recent Gallup poll, 58% of parents with children under 18 years of age gave themselves a grade of B for the job they are doing bringing up their kids. Assume that this percentage is true for the current population of all parents with children under 18 years of age. You take a random sample of 1021 such parents and ask them to give themselves a grade for the job they are doing bringing up their kids. The probability that 520 to 555 will give themselves a grade of B is approximately: (Round the answer to 4 decimal places.)

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 072

11) As explained in the textbook, the normal distribution can be used as an approximation to the binomial distribution when np > 5 and nq > 5. Let x be the number of times that heads comes up in n flips of a coin for which the probability of a head is p = 0.744. What is the lowest that n can be in order for us to use the normal approximation for the distribution of x?

Diff: 2

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 073

12) Suppose that the random variable x has a binomial distribution with and You want to determine P(14 ≤ X ≤ 19). Using the normal approximation, what is this probability? (Round the answer to 4 decimal places.)

Diff: 3

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 074

13) 94.9% of the parts coming off an assembly line are non-defective. Using the normal approximation to the binomial distribution, what is the probability, rounded to four decimal places, that of 488 parts, fewer than 463 are non-defective?

Diff: 3

LO: 6.5.0 Demonstrate how to use the normal distribution to approximate a binomial distribution.

Section: 6.5 The Normal Approximation to the Binomial Distribution

Question Title: Chapter 06, Testbank Question 075

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