Question 1

The sign test statistic has a(n)____________________ distribution.

Accepted Answer

The answer of The sign test statistic has a(n)____________________ distribution....

Question 2

Which of the following statements about the Spearman rank-correlation coefficient is true?

Accepted Answer

A) It is equal to the Pearson correlation coefficient of the ranks of the data. 
B) The population Spearman correlation coefficient is labeled ρs. 
C) Values near +1 point to an uphill relationship between the two variables. 
D) All of these choices are true. 
A) It is equal to the Pearson correlation coefficient of the ranks of the data. 
B) The population Spearman correlation coefficient is labeled ρs. 
C) Values near +1 point to an uphill relationship between the two variables. 
D) All of these choices are true.

Question 3

For sample sizes greater than or equal to 5,the test statistic H has an approximate ____________________ distribution.

Accepted Answer

chi-square

Question 4

For the sign test,n equals the number of differences in the sample that are ____________________.

Accepted Answer

The answer of For the sign test,n equals the number...

Question 5

The Friedman test is the nonparametric counterpart of the randomized block experimental design of the analysis of variance.

Accepted Answer

A) True 
 B)False

Question 6

The Friedman test statistic is approximately chi-squared distributed with (k− 1)degrees of freedom,provided that both the number of blocks b and the number of treatments k are greater than or equal to 5.

Accepted Answer

A) True 
 B)False

Question 7

The Wilcoxon rank sum test is used to compare two populations when the samples are independent and the data are either ordinal or interval but not normally distributed.

Accepted Answer

A) True 
 B)False

Question 8

Song Ratings
 A music critic wanted to determine whether or not music listeners of different age groups evaluate a song differently.With this objective,he commissioned a survey that asked people their ratings of the most popular songs.The rating categories were: 1 = terrible,2 = fair,3 = good,and 4 = excellent.Each respondent was also asked to categorize his or her age as either: 1 = teenager,2 = young adult (20-34),3 = middle age (35-50),and 4 = over 50. The results are shown below.   ​ ​
-{Song Ratings Narrative} Does this data provide sufficient evidence to infer at the 5% significance level that there are differences in ratings among the different age categories?

Accepted Answer

H₀: The locations of all three population

Question 9

In a Kruskal-Wallis test,there are four samples and the value of the test statistic is calculated as H = 8.79.The most accurate statement that can be made about the p-value is that:

Accepted Answer

A) it is greater than 0.10. 
B) it is greater than 0.05 but smaller than 0.10. 
C) it is greater than 0.05. 
D) it is greater than 0.025 but smaller than 0.05. 
A) it is greater than 0.10. 
B) it is greater than 0.05 but smaller than 0.10. 
C) it is greater than 0.05. 
D) it is greater than 0.025 but smaller than 0.05.

Question 10

The first step in a Wilcoxon rank sum test is to combine the data values in the two samples and assign a rank of 1 to the:

Accepted Answer

A) smallest observation. 
B) middle observation. 
C) largest observation. 
D) observation that occurs most frequently. 
A) smallest observation. 
B) middle observation. 
C) largest observation. 
D) observation that occurs most frequently.

Question 11

To determine whether a relationship exists between two variables,the hypotheses to be tested are H0: rs = 0 vs.H1: rs≠ 0.

Accepted Answer

A) True 
 B)False

Question 12

The Wilcoxon rank sum test requires that the samples from the two populations be ____________________.

Accepted Answer

The answer of The Wilcoxon rank sum test requires that...

Question 13

A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

Accepted Answer

A) Wilcoxon signed rank sum test. 
B) Friedman test. 
C) Kruskal-Wallis test. 
D) Mann-Whitney test. 
A) Wilcoxon signed rank sum test. 
B) Friedman test. 
C) Kruskal-Wallis test. 
D) Mann-Whitney test.

Question 14

Consider the following data set: 2.2,2.3,2.3,2.5,2.6,2.7,2.8,2.8,2.8,2.9,3.1,3.2,and 3.5.The rank assigned to the three observations of value 2.8 is:

Accepted Answer

A) 6 
B) 7 
C) 8 
D) 9 
A) 6 
B) 7 
C) 8 
D) 9

Question 15

The Kruskal-Wallis test statistic can be approximated by a chi-squared distribution with k− 1 degrees of freedom (where k is the number of populations)whenever the sample sizes are all greater than or equal to:

Accepted Answer

A) 5 
B) 10 
C) 30 
D) None of these choices. 
A) 5 
B) 10 
C) 30 
D) None of these choices.

Question 16

The Spearman rank correlation coefficient is used to determine if a relationship exits between two variables when:

Accepted Answer

A) one of the variables is ordinal. 
B) both of the variables are ordinal. 
C) both variables are interval and the normality requirement is not satisfied. 
D) All of these choices are true. 
A) one of the variables is ordinal. 
B) both of the variables are ordinal. 
C) both variables are interval and the normality requirement is not satisfied. 
D) All of these choices are true.

Question 17

The Kruskal-Wallis test is always one tailed.The inequality sign in the alternative hypothesis is always ____________________.

Accepted Answer

The answer of The Kruskal-Wallis test is always one tailed.The...

Question 18

When n > 30 ____________________ has an approximate normal distribution.

Accepted Answer

The answer of When n > 30 ____________________ has an...

Question 19

In testing the hypotheses
H0: The two population locations are the same.
H1: The two population locations are different.
The critical values and sample sizes are n1 = 5,TL = 22,n2 = 9,and TU = 53.
a.Which test is used for testing the hypotheses above?
b.What is the α-level of this test?

Accepted Answer

a. The Wil

Question 20

In all applications of the Kruskal-Wallis test,the alternative hypothesis to be tested is always stated as:

Accepted Answer

A) the locations of all k populations are the same. 
B) the locations of all k populations differ. 
C) at least two population locations are the same. 
D) at least two population locations differ. 
A) the locations of all k populations are the same. 
B) the locations of all k populations differ. 
C) at least two population locations are the same. 
D) at least two population locations differ.

Exam 19: Nonparametric Statistics

The sign test statistic has a(n)____________________ distribution.

Which of the following statements about the Spearman rank-correlation coefficient is true?

For sample sizes greater than or equal to 5,the test statistic H has an approximate ____________________ distribution.

For the sign test,n equals the number of differences in the sample that are ____________________.

The Friedman test is the nonparametric counterpart of the randomized block experimental design of the analysis of variance.

The Friedman test statistic is approximately chi-squared distributed with (k− 1)degrees of freedom,provided that both the number of blocks b and the number of treatments k are greater than or equal to 5.

The Wilcoxon rank sum test is used to compare two populations when the samples are independent and the data are either ordinal or interval but not normally distributed.

In a Kruskal-Wallis test,there are four samples and the value of the test statistic is calculated as H = 8.79.The most accurate statement that can be made about the p-value is that:

The first step in a Wilcoxon rank sum test is to combine the data values in the two samples and assign a rank of 1 to the:

To determine whether a relationship exists between two variables,the hypotheses to be tested are H0: rs = 0 vs.H1: rs≠ 0.

The Wilcoxon rank sum test requires that the samples from the two populations be ____________________.

A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

Consider the following data set: 2.2,2.3,2.3,2.5,2.6,2.7,2.8,2.8,2.8,2.9,3.1,3.2,and 3.5.The rank assigned to the three observations of value 2.8 is:

The Kruskal-Wallis test statistic can be approximated by a chi-squared distribution with k− 1 degrees of freedom (where k is the number of populations)whenever the sample sizes are all greater than or equal to:

The Spearman rank correlation coefficient is used to determine if a relationship exits between two variables when:

The Kruskal-Wallis test is always one tailed.The inequality sign in the alternative hypothesis is always ____________________.

When n > 30 ____________________ has an approximate normal distribution.

In testing the hypotheses H0: The two population locations are the same. H1: The two population locations are different. The critical values and sample sizes are n1 = 5,TL = 22,n2 = 9,and TU = 53. a.Which test is used for testing the hypotheses above? b.What is the α-level of this test?

In all applications of the Kruskal-Wallis test,the alternative hypothesis to be tested is always stated as:

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

To determine whether a relationship exists between two variables,the hypotheses to be tested are H₀: r_s = 0 vs.H₁: r_s≠ 0.

In testing the hypotheses H₀: The two population locations are the same. H₁: The two population locations are different. The critical values and sample sizes are n₁ = 5,T_L = 22,n₂ = 9,and T_U = 53. a.Which test is used for testing the hypotheses above? b.What is the α-level of this test?