Chapter.15 Nonparametric Methods Full Test Bank 10th Edition

Introductory Statistics, 10e (Mann)

Chapter 15 Nonparametric Methods

15.1 The Sign Test

1) Nonparametric tests ________ the same kinds of assumptions as do parametric tests.

A) require

B) do not require

C) require some of

D) require most of

Diff: 1

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 001

2) All of the following are advantages of a nonparametric test over a parametric test except which one?

A) Nonparametric tests can be applied to situations in which parametric tests cannot be used.

B) Nonparametric tests require a larger sample size than parametric tests.

C) Nonparametric tests do not require that the population being sampled is normally distributed.

D) Nonparametric tests are easier to use and understand.

Diff: 1

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 002

3) The sign test cannot be used for which type of test?

A) A hypothesis test about preferences

B) A hypothesis test about the median of paired differences for two dependent populations

C) A hypothesis test about the means of three or more populations

D) A hypothesis test about a single median

Diff: 2

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 003

4) In the following case, n is the sample size, p is the proportion of the population possessing a certain characteristic, and X is the number of items in the sample that possess that characteristic. Perform the appropriate sign test using α = 0.05.

n = 18, X = 4, H0 : p = 0.50, H1 : p < 0.50

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 004

5) In the following case, n is the sample size, p is the proportion of the population possessing a certain characteristic, and X is the number of items in the sample that possess that characteristic. Perform the appropriate sign test using α = 0.1.

n = 27, X = 15, H0 : p = 0.50, H1 : p < 0.50

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 005

6) In the following case, n is the sample size and X is the appropriate number of plus or minus signs. Perform the appropriate sign test using α = 0.05.

n = 28, X = 5, H0 : Median = 83, H1 : Median < 83

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 006

7) In the following case, n is the sample size and X is the appropriate number of plus or minus signs. Perform the appropriate sign test using α = 0.05.

n = 16, X = 10, H0 : Median = 107, H1 : Median > 107

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 007

8) In the following case, M is the median of the paired differences for two populations, n is the sample size, and X is the number of plus or minus signs. Perform the appropriate sign test using α = 0.025.

n = 11, X = 3, H0 : M = 0, H1 : M > 0

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 008

9) In the following case, M is the median of the paired differences for two populations, n is the sample size, and X is the number of plus or minus signs. Perform the appropriate sign test using α = 0.025.

n = 23, X = 9, H0 : M = 0, H1 : M < 0

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 009

10) A past study claims that teenagers in the United States order a median of 7 pizzas a month. A researcher took a sample of 10 teenagers and asked them how many pizzas they ordered in the previous month. The researcher obtained the following data:

1 8 4 6 2 7 10 5 2 5

Using α = 0.025, can the researcher conclude that the median number of pizzas ordered

per month by all teenagers in the United States is less than 7 pizzas? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 010

11) At a local college, students are given the option on the format of the textbook. Some students prefer a paper textbook (P), some prefer an eBook (E), and some have no preference (N). A random sample of 30 students is taken. Their preferences are shown here:

P P E N E E P E P P

P E E E E N P P E P

E E N P P P N E E E

At a 5% significance level, can you conclude that the students at this local college prefer either type of textbook over the other?

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.1.0 Demonstrate an understanding of the fundamentals and various applications of the sign test.

Section: 15.1 The Sign Test

Question Title: Chapter 15, Testbank Question 011

15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

1) The Wilcoxon signed-rank test cannot be used for which type of test?

A) A hypothesis test to test whether or not two populations from which these samples are drawn are identical

B) A hypothesis test to test whether or not the means of three or more populations are equal

C) A hypothesis test to test whether or not one population distribution lies to the left or to the right of the other

D) A hypothesis test to test whether or not the medians of two population distributions are equal

Diff: 2

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 012

2) The normal distribution is used for the Wilcoxon signed-rank test when the sample size is larger than what value?

Diff: 1

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 013

3) What test statistic is used for the Wilcoxon signed-rank test when the sample size is 15 or smaller?

Diff: 1

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 014

4) In a small sample Wilcoxon signed-rank test, the decision rule is to reject the null hypothesis if the observed value of T is less than or equal to the critical value of T for which type of test?

A) left-tailed

B) two-tailed

C) right-tailed

D) left-tailed, two-tailed, or right-tailed

Diff: 2

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 015

5) Find the rejection region for the Wilcoxon signed-rank test given:

n1 = 13, H0 : MA = MB, H1 : MA < MB, α = 0.05

A) Reject the null hypothesis if the observed value of T ≤ 17.

B) Reject the null hypothesis if the observed value of T > 17.

C) Reject the null hypothesis if the observed value of T ≤ 14.

D) Reject the null hypothesis if the observed value of T > 14.

Diff: 2

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 016

6) Find the rejection region for the Wilcoxon signed-rank test given:

n1 = 25, H0 : MA = MB, H1 : MA ≠ MB, α = 0.01

A) Reject the null hypothesis if either the observed value of z ≤ -2.57 or the observed value of z ≥ 2.57.

B) Reject the null hypothesis if either the observed value of z ≤ -2.33 or the observed value of z ≥ 2.33.

C) Reject the null hypothesis if the observed value of z ≥ -2.57 and the observed value of z ≤ 2.57.

D) Reject the null hypothesis if the observed value of z ≥ -2.33 and the observed value of z ≤ 2.33.

Diff: 2

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 017

7) The following table shows the ISEE practice test scores of eight students before and after they attended a course designed to review for the ISEE test.

Using the Wilcoxon signed-rank test at a 5% level of significance, can you conclude that attending this course increases the median ISEE test score of students? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 018

8) The following table shows the pulse rate readings of 20 adults before and after a six-month exercise program.

Using the Wilcoxon signed-rank test at a 5% level of significance, can you conclude that participating in the exercise program decreases the median pulse rate in adults? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.2.0 Demonstrate an understanding of the fundamentals of the Wilcoxon signed-rank test for two dependent (paired) samples.

Section: 15.2 The Wilcoxon Signed-Rank Test for Two Dependent Samples

Question Title: Chapter 15, Testbank Question 019

15.3 The Wilcoxon Rank Sum Test for Two Independent Samples

1) The Wilcoxon signed rank test is applied to two ________ populations and the Wilcoxon rank sum test is applied to two ________ populations.

A) dependent, dependent

B) dependent, independent

C) independent, independent

D) independent, dependent

Diff: 1

LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples

Question Title: Chapter 15, Testbank Question 020

2) In a Wilcoxon rank sum test, it is assumed that the two populations are identical in shape, but differ only in location. The difference in location is measured by the:

A) median

B) mean

C) range

D) standard deviation

Diff: 1

LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples

Question Title: Chapter 15, Testbank Question 021

3) Find the rejection region for the Wilcoxon rank sum test given:

n1 = 8, n2 = 9, two-tailed test using α = 0.05

A) Reject the null hypothesis if either the observed value of T ≤ 51 or the observed value of T ≥ 93.

B) Reject the null hypothesis if the observed value of T ≥ 51 and the observed value of T ≤ 93.

C) Reject the null hypothesis if the observed value of T ≤ 51.

D) Reject the null hypothesis if the observed value of T ≥ 93.

Diff: 2

LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples

Question Title: Chapter 15, Testbank Question 022

4) Find the rejection region for the Wilcoxon rank sum test given:

n1 = 19, n2 = 17, right-tailed test using α = 0.05

A) Reject the null hypothesis if the observed value of z ≥ 1.645.

B) Reject the null hypothesis if the observed value of z ≤ -1.645.

C) Reject the null hypothesis if the observed value of z ≥ 1.96.

D) Reject the null hypothesis if the observed value of z ≤ -1.96.

Diff: 2

LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples

Question Title: Chapter 15, Testbank Question 023

5) A researcher compares the number of minutes rats will run on a wheel. Eight rats are randomly divided into two groups of four rats each. The rats in the experimental group were given food before running on the wheel. The rats in the control group were not. The following table shows the number of minutes for each group.

Using the Wilcoxon rank sum test at a 5% level of significance, can you conclude that food increases the number of minutes a rat will run on a wheel? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples

Question Title: Chapter 15, Testbank Question 024

6) A researcher compares the body temperatures (F) of individuals upon entering a building, based on location of the car. The individuals were divided into two groups based on which lot they parked in. Lot A is close to the entrance of the building and Lot B is across the street from the building. The following table shows the number of minutes for each group.

Using the Wilcoxon rank sum test at a 2.5% level of significance, can the researcher conclude that parking farther away increases the body temperature? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.3.0 Demonstrate an understanding of the fundamentals of the Wilcoxon rank sum test for two independent samples.

Section: 15.3 The Wilcoxon Rank Sum Test for Two Independent Samples

Question Title: Chapter 15, Testbank Question 025

15.4 The Kruskal-Wallis Test

1) The ________ test statistic is used for the Kruskal-Wallis test, and the ________ distribution is used to perform the Kruskal-Wallis test.

A) H, t-distribution

B) χ2, chi-square

C) H, chi-square

D) H, H-distribution

Diff: 2

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 026

2) The Kruskal-Wallis test replaces the ________ when it is not assumed that the populations from which the samples were drawn were all normally distributed with equal variance, σ2.

A) Bayesian test

B) two-tailed test

C) one-tailed test

D) ANOVA test

Diff: 1

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 027

3) Which of the following is not a possible alternative hypothesis for a Kruskal-Wallis test?

A) At least two of the population distributions differ.

B) All of the population distributions are different.

C) Not all of the population distributions are identical.

D) The medians of all populations are not equal.

Diff: 2

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 028

4) Which of the following is not true about the value of H?

A) H has a smaller value as the difference between the means of ranks for different samples increases.

B) H is a measure of the variance of ranks for different samples.

C) H has a value of zero if all k samples have exactly the same mean of ranks.

D) H is a measure of the variance of the means of the ranks for different samples.

Diff: 2

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 029

5) In the following case, ni is the size of the ith sample and Ri is the sum of the ranks for the ith sample. Perform the Kruskal-Wallis test using α = 0.01.

n1 = 9, n2 = 6, n3 = 7, R1 = 82, R2 = 71, R3 = 100

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 030

6) In the following case, ni is the size of the ith sample and Ri is the sum of the ranks for the ith sample. Perform the Kruskal-Wallis test using α = 0.01.

n1 = n2 = n3 = n4 = 7, R1 = 114, R2 = 96, R3 = 120, R4 = 91

(State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 031

7) The following table gives the ranked data for three samples. Perform the Kruskal-Wallis test using the 2.5% level of significance. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 2

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 032

8) A restaurant owner wishes to add a new entrée to the menu, so three different entrées are presented as the Monthly Special. The following table shows the number of times each entrée was ordered each week for four weeks. Test the hypothesis that there is no difference between these entrées at the 5% level of significance. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.4.0 Demonstrate an understanding of the fundamentals of the Kruskal-Wallis test.

Section: 15.4 The Kruskal-Wallis Test

Question Title: Chapter 15, Testbank Question 033

15.5 The Spearman Rho Rank Correlation Coefficient Test

1) The Spearman rho rank correlation coefficient helps us decide what type of relationship exists between ________ populations of x and y variables and the linear correlation coefficient helps us decide what type of relationship exists between ________ populations of x and y variables.

A) normal, unknown

B) unknown, normal

C) chi-square, unknown

D) unknown, chi-square

Diff: 2

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 034

2) Instead of comparing the data, the Spearman rho rank coefficient compares the ________ of the data on variables x and y.

A) ranges

B) medians

C) ranks

D) means

Diff: 1

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 035

3) A set of paired data on two variables, x and y, have been ranked. The ranks for x and y are denoted by u and v, respectively, and are shown in the table. Calculate the Spearman rho rank correlation coefficient for the data set to three decimal places.

Diff: 2

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 036

4) Calculate the Spearman rho rank correlation coefficient for the following data set to three decimal places.

Diff: 2

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 037

5) Find the rejection region for the Spearman rho rank correlation test given:

n = 10, rs = 0.576, H0 : ρs = 0, H0 : ρs < 0, α = 0.01

A) Reject the null hypothesis if the observed value of rs ≤ 0.745.

B) Reject the null hypothesis if the observed value of rs > 0.745.

C) Reject the null hypothesis if the observed value of rs ≤ 0.576.

D) Reject the null hypothesis if the observed value of rs > 0.576.

Diff: 2

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 038

6) Find the rejection region for the Spearman rho rank correlation test given:

n = 15, rs = 0.612, H0 : ρs = 0, H0 : ρs ≠ 0, α = 0.05

A) Reject the null hypothesis if the observed value of rs ≤ -0.525 or rs ≥ 0.525.

B) Reject the null hypothesis if the observed value of rs ≤ -0.525.

C) Reject the null hypothesis if the observed value of rs ≤ -0.441.

D) Reject the null hypothesis if the observed value of rs ≥ 0.441.

Diff: 2

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 039

7) Perform the indicated hypothesis test. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

n = 16, rs = 0.621, H0 : ρs = 0, H0 : ρs ≠ 0, α = 0.01

Diff: 2

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 040

8) The following data are a random sample of heights (in inches) and weights (in pounds) of 9 students in a Kindergarten class.

Based on the reasonable assumption that as height increases, weight tends to increase, do you expect the value of rs to be positive or negative?

Diff: 1

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 041

9) The following data are a random sample of heights (in inches) and weights (in pounds) of 9 students in a Kindergarten class.

Compute the value of rs. Round to three decimal places.

Diff: 2

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 042

10) The following data are a random sample of heights (in inches) and weights (in pounds) of 9 students in a Kindergarten class.

At a 5% significance level, test if there is a positive relationship between height and weight for Kindergarten students? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.5.0 Demonstrate an understanding of the Spearman Rho Rank correlation coefficient test.

Section: 15.5 The Spearman Rho Rank Correlation Coefficient Test

Question Title: Chapter 15, Testbank Question 043

15.6 The Runs Test for Randomness

1) A sequence of the same symbol appearing one or more times is called a:

A) run

B) series

C) pattern

D) rank

Diff: 1

LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness

Question Title: Chapter 15, Testbank Question 044

2) The distribution of R (the number of runs in a sample) is approximately normal when:

A) n1 > 25 or n2 > 25

B) n1 > 25 and n2 > 25

C) n1 > 15 or n2 > 15

D) n1 > 15 and n2 > 15

Diff: 1

LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness

Question Title: Chapter 15, Testbank Question 045

3) For the following sequence of observations, determine the value of R.

R Q R R R R R Q R Q R Q Q Q R Q R

Diff: 2

LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness

Question Title: Chapter 15, Testbank Question 046

4) Find the rejection region for the runs test for randomness given:

n1 = 5, n2 = 9, R = 6, α = 0.1

A) Reject the null hypothesis if the observed value of R ≤ 4 or R ≥ 10.

B) Reject the null hypothesis if the observed value of R ≥ 4 and R ≤ 10.

C) Reject the null hypothesis if the observed value of R ≤ 5.

D) Reject the null hypothesis if the observed value of R ≥ 9.

Diff: 2

LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness

Question Title: Chapter 15, Testbank Question 047

5) Find the rejection region for the runs test for randomness given:

n1 = 27, n2 = 28, R = 25, α = 0.05

A) Reject the null hypothesis if the observed value of z ≤ -1.96 or z ≥ 1.96.

B) Reject the null hypothesis if the observed value of z ≥ -1.96 and z ≤ 1.96.

C) Reject the null hypothesis if the observed value of z ≤ -1.645 or z ≥ 1.645.

D) Reject the null hypothesis if the observed value of z ≥ -1.645 and z ≤ 1.645.

Diff: 2

LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness

Question Title: Chapter 15, Testbank Question 048

6) In 20 tosses of a fair coin, the following sequence of heads (H) and tails (T) is obtained:

T H T H H T H T T T

H H T H H H H H T T

Determine the values of n1, n2, and R, where n1 is the number of heads and n2 is the number of tails.

A) n1 = 11, n2 = 9, R = 11

B) n1 = 9, n2 = 11, R = 11

C) n1 = 11, n2 = 9, R = 20

D) n1 = 9, n2 = 11, R = 20

Diff: 2

LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness

Question Title: Chapter 15, Testbank Question 049

7) In 20 tosses of a fair coin, the following sequence of heads (H) and tails (T) is obtained:

H T T H H H T H T H

H T H H T H T T T T

At a 5% significance level, test the null hypothesis that the coin tosses are randomly distributed against the alternative hypothesis that they are not randomly distributed. (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 3

LO: 15.6.0 Demonstrate an understanding of the runs test for randomness.

Section: 15.6 The Runs Test for Randomness

Question Title: Chapter 15, Testbank Question 050

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