Test Bank + Answers Ch6 Where Am I? Normal Distributions And

Chapter 6 Test Bank

Test Bank

Type: true-false

Title: Chapter 06 Question 01

1. True or False: An IQ score on the Stanford-Binet test is an unstandardized score.

Feedback: Page reference: p5

a) True

b) False

Type: true-false

Title: Chapter 06 Question 02

2. True or False: A deviation score is the numerator of the formula for calculating a z-score.

Feedback: Page reference: p6

a) True

b) False

Type: true-false

Title: Chapter 06 Question 03

3. True or False: A deviation score is obtained by subtracting the observed mean from the population mean.

Feedback: Page reference: p6

a) True

b) False

Type: true-false

Title: Chapter 06 Question 04

4. True or False: A deviation score in the z-score formula cannot be replaced by the mode of the sample.

Feedback: Page reference: p6

a) True

b) False

Type: true-false

Title: Chapter 06 Question 05

5. True or False: Someone’s z-score on a test can only be known if we know both the population mean of the test and the standard deviation.

Feedback: Page reference: p5

a) True

b) False

Type: true-false

Title: Chapter 06 Question 06

6. True or False: An individual who scores higher than the mean on a test will have a z-score that is negative.

Feedback: Page reference: p6

a) True

b) False

Type: true-false

Title: Chapter 06 Question 07

7. True or False: Jessica scores the same as the mean on a test. Her z-score is zero.

Feedback: Page reference: p6

a) True

b) False

Type: true-false

Title: Chapter 06 Question 08

8. True or False: The closer the score is to the mean, the less frequent it is in the distribution.

Feedback: Page reference: p8

a) True

b) False

Type: true-false

Title: Chapter 06 Question 09

9. True or False: The 3-sigma rule describes the distribution of observations in a skewed distribution.

Feedback: Page reference: p10

a) True

b) False

Type: true-false

Title: Chapter 06 Question 10

10. True or False: A test of spatial skill has a mean of 200 and a standard deviation of 10. A newer, different test of spatial skills has a mean of 50 and a standard deviation of 15. A score of 100 would be more common in the new test than in the older test.

Feedback: Page reference: p6

a) True

b) False

Type: true-false

Title: Chapter 06 Question 11

11. True or False: Under the 3-sigma rule, 98% of observations will be within two standard deviations from the mean.

Feedback: Page reference: p10

a) True

b) False

Type: true-false

Title: Chapter 06 Question 12

12. True or False: The 3-sigma rule is violated when the mean, mode and median are the same value.

Feedback: Page reference: p9

a) True

b) False

Type: true-false

Title: Chapter 06 Question 13

13. True or False: To find out the probability of obtaining any given score on a test as compared to the population, you will need at least the mean and standard deviation.

Feedback: Page reference: p11

a) True

b) False

Type: true-false

Title: Chapter 06 Question 14

14. True or False: In a normal distribution of scores from a test, the median is the score that occurs the most often.

Feedback: Page reference: p10

a) True

b) False

Type: true-false

Title: Chapter 06 Question 15

15. True or False: In a symmetric distribution, the probability of obtaining a z-score above 3 is exactly the same as the probability of obtaining a z-score below -3.

Feedback: Page reference: p11

a) True

b) False

Type: true-false

Title: Chapter 06 Question 16

16. True or False: If you obtain an observed z-score that is larger than critical z, you should always reject the null hypothesis.

Feedback: Page reference: p11

a) True

b) False

Type: true-false

Title: Chapter 06 Question 17

17. True or False: Dean would like to compare the relative performance of his son, Andy, on two different tests of verbal fluency. Even though he has Andy’s scores, and the typical score and standard deviation for both tests, Dean has insufficient information.

Feedback: Page reference: p18

a) True

b) False

Type: true-false

Title: Chapter 06 Question 18

18. True or False: To standardize scores, we only need to know the shape of the distribution and the standard deviation.

Feedback: Page reference: p24

a) True

b) False

Type: true-false

Title: Chapter 06 Question 19

19. True or False: To use the z-test, you need to know only one population parameter.

Feedback: Page reference: p23

a) True

b) False

Type: true-false

Title: Chapter 06 Question 20

20. True or False: The z-test is a popular test because it is easy to calculate and does not make assumptions about the distribution of the data.

Feedback: Page reference: p23

a) True

b) False

Type: multiple choice question

Title: Chapter 06 Question 01

1. Which of the following information is missing from non-standard scores that is present in standard scores?

Feedback: Page reference: p5

a. The range of scores from the lowest to highest.

b. The actual value of a measurement in nature, accounting for error.

c. The change in an individual’s scores over time.

d. The location of individual scores in a set, relative to the mean

Type: multiple choice question

Title: Chapter 06 Question 02

2. The difference in height between the tallest and shortest student in a class is a:

Feedback: Page reference: p5

a. Standard score

b. Standard deviation

c. Range

d. Z-score

Type: multiple choice question

Title: Chapter 06 Question 03

3. Jaime and Gina are comparing SAT scores. The scores are standardized and range from 200 to 800 for each section. Jaime scored 750 on the verbal section, while Gina scored 760 in the same section. Which of the following statements is true?

Feedback: Page reference: p5

a. Since the scores are standardized, neither Jaime’s nor Gina’s score will change even if they took the test again.

b. Jaime’s score is a lower percentile than Gina’s score.

c. Jaime answered 10 fewer questions correctly on the test than Gina did.

d. Since they do not know the scores of every individual who has taken the test, both Gina and Jaime will not be able to find out how their scores rank against everyone else.

Type: multiple choice question

Title: Chapter 06 Question 04

4. Suzanne would like to calculate the z-score of her height relative to the height of ballerinas. She is 5’7. What other information does she need to obtain the z-score of her height?

Feedback: Page reference: p6

a. Mean height of all ballerinas in general, and the standard deviation

b. Mean height of ballerinas in her class, and the standard error

c. The most common height of ballerinas, and the standard deviation

d. The most common height of ballerinas, and the range

Type: multiple choice question

Title: Chapter 06 Question 05

5.

Carissa is working to conserve the last surviving mutant cats. The table above displays the distribution of weight of the last existing population of mutant cats. Which of the following is the best description of the mean, mode and median of mutant cat weight?

Feedback: Page reference: p24

a. The mode and median are the same.

b. The mean is lower than the mode.

c. The mode is lower than the median.

d. The median is lower than the mean and the mode.

Type: multiple choice question

Title: Chapter 06 Question 06

6.

Which of the following is true about the weight of mutant cats?

Feedback: Page reference: p24

a. The weight of mutant cats is normally distributed.

b. The weight of mutant cats is positively skewed.

c. The weight of mutant cats is negatively skewed.

d. The weight of mutant cats is a continuous uniform distribution.

Type: multiple choice question

Title: Chapter 06 Question 07

7.

What is the standard deviation?

Feedback: Page reference: p18

a. 9.06

b. 1.56

c. 3.32

d. 9.0

Type: multiple choice question

Title: Chapter 06 Question 08

8.

A mutant cat that weighs 8 pounds has a deviation score of:

Feedback: Page reference: p18

a. 1

b. 0

c. -1

d. -4

Type: multiple choice question

Title: Chapter 06 Question 09

9.

If a mutant cat weighs 11 pounds, its weight converts to a z-score of:

Feedback: Page reference: p18

a. 2.0

b. 1.5

c. 1.3

d. 1.2

Type: multiple choice question

Title: Chapter 06 Question 10

10.

A mutant cat that lives in a zoo in Germany has a weight z-score of zero. Its weight in pounds is closet to:

Feedback: Page reference: p18

a. 6

b. 8

c. 9

d. 10

Type: multiple choice question

Title: Chapter 06 Question 11

11. Given that Jack’s score on a test with a mean of 10 and standard deviation of 2 is 15, what is his z-score on the test?

Feedback: Page reference: p6

a. -2.5

b. 2.5

c. -3

d. 3

Type: multiple choice question

Title: Chapter 06 Question 12

12. Margo’s z-score on a test is 0.6; her actual score is 50 and the mean of the test is 51. What is the standard deviation of the test?

Feedback: Page reference: p6

a. -1.67

b. 1.67

c. -1.63

d. 1.63

Type: multiple choice question

Title: Chapter 06 Question 13

13. Josh’s z-score on a test is -0.5. Which of the following options must be true?

Feedback: Page reference: p10

a. Josh scored better than 65% of other test takers.

b. Josh scored better than 25% of other test takers.

c. Josh scored worse than 16% of other test takers.

d. Josh scored worse than 72% of other test takers.

Type: multiple choice question

Title: Chapter 06 Question 14

14. A test of spatial skills has a mean of 80 and a standard deviation of 5. A newer, different test that also measures spatial skills has a mean of 100 and a standard deviation of 2. The distribution of the older test is ________________ than the distribution of the newer test.

Feedback: Page reference: p6

a. narrower

b. the same

c. wider

d. more skewed

Type: multiple choice question

Title: Chapter 06 Question 15

15. A test of spatial skills has a mean of 70 and a standard deviation of 6. A different test for vocabulary knowledge has the same mean and standard deviation. Which of the following options is true?

Feedback: Page reference: p6

a. A z-score of -2 on the test of spatial skills is the same distance from the mean as a raw score of 120 on the test for vocabulary knowledge.

b. A z-score of -1.5 on the test of spatial skills is the same distance from the mean as a raw score of 85 on the test for vocabulary knowledge.

c. A raw score of 135 on the test of spatial skills is not the same distance from the mean as a z-score of 3.5 on the test for vocabulary knowledge.

d. A raw score of 90 on the test of spatial skills is the same distance from the mean as a z-score of 1.

Type: multiple choice question

Title: Chapter 06 Question 16

16. Under the 3-sigma rule, 96% of observations would be within how many standard deviations from the mean?

Feedback: Page reference: p10

a. 0

b. 1

c. 2

d. 3

Type: multiple choice question

Title: Chapter 06 Question 17

17. Given that Sophie’s deviation score on a test is -0.05 and the standard deviation of the test is 1.4, what is her z-score?

Feedback: Page reference: p6

a. -0.036

b. 0.035

c. -0.07

d. 0.07

Type: multiple choice question

Title: Chapter 06 Question 18

18. What is the difference in probability of getting a z-score of at least 0 and getting a z-score of at least 0.5?

Feedback: Page reference: p13

a. 0

b. .1915

c. .5000

d. .8413

Type: multiple choice question

Title: Chapter 06 Question 19

19. Brittney’s z-score is 0 on a test with a mean of 100 and a standard deviation of 10. Jessica’s z-score is 0.33 on the same test. What is the difference between their raw scores?

Feedback: Page reference: p18

a. 103.3

b. 3.3

c. 13.3

d. 0.33

Type: multiple choice question

Title: Chapter 06 Question 20

20. Last semester, Julia scored 140 on an intelligence test with a mean of 100 and standard deviation of 10. This year, she scored 100 on a different intelligence test with a mean of 60 and standard deviation of 10. Which of the following statements is true in relation to Julia’s scores?

Feedback: Page reference: p17

a. Julia performed better this year.

b. Julia performed better last year.

c. Julia performed equally well in both years.

d. None of the above.

Type: multiple choice question

Title: Chapter 06 Question 21

21.

Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one.

What is the population mean?

Feedback: Page reference: p24

a. 0.3

b. 0.4

c. 0.5

d. 0.6

Type: multiple choice question

Title: Chapter 06 Question 22

22.

Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one.

An insect that is 0.7 inches long would have a deviation score of:

Feedback: Page reference: p18

a. 0

b. 0.1

c. 0.2

d. 0.3

Type: multiple choice question

Title: Chapter 06 Question 23

23.

Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one.

An insect that is 0.2 inches long would have a deviation score of:

Feedback: Page reference: p18

a. 0

b. -0.1

c. 0.1

d. -0.2

e. 0.2

Type: multiple choice question

Title: Chapter 06 Question 24

24.

Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one.

Adele discovers a new specimen of this insect species. It is 0.5 inches long. What is its z-score?

Feedback: Page reference: p18

a. 0.50

b. 0.61

c. 0.71

d. 0.80

Type: multiple choice question

Title: Chapter 06 Question 25

25.

Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one.

An insect in the original population is shorter than 96% of the class. How long is this particular insect?

Feedback: Page reference: p13

a. 0.1

b. 0.2

c. -0.2

d. -0

Type: essay/short answer question

Title: Chapter 06 Question 01

1. What is the difference in probability of getting a z-score of at least 0.3 and getting a z-score of at least 1.75? Show each step of your calculation.

Type: essay/short answer question

Title: Chapter 06 Question 02

2. Natalie had a score of 55 on a test with a mean of 40 and standard deviation of 8. What is her percentile rank on the test, to the nearest percent?

Type: essay/short answer question

Title: Chapter 06 Question 03

3. Lucia hypothesizes that her friends scored better than the average student on a physics exam. She obtains the exam scores of her 4 friends and calculates the average score, which is 86%. If the overall average for the exam is 82% with a standard deviation of 3.2, is Lucia’s hypothesis supported, assuming an alpha level of 0.05? Why?

Type: essay/short answer question

Title: Chapter 06 Question 04

4. Kristie’s z-score is -2.01 on a test with a mean of 70 and standard deviation of 2. What is her raw score? Round your answer to the nearest whole number.

Type: essay/short answer question

Title: Chapter 06 Question 05

5. Lewis obtained a score of 45 on a test with a mean of 55 and a standard deviation of 10. What is the percentile of Lewis’ score? Round your answer to the nearest whole number.