Question 1

If a researcher using the sign test has 15 positive signs and 19 negative signs in a test involving 34 samples, the z test value is ________.

Accepted Answer

A)  -0.69 
B)  0.69 
C)  -0.51 
D)  0.86 
A)  -0.69 
B)  0.69 
C)  -0.51 
D)  0.86

Question 2

Six second grade students tried tossing a ball into a basket ten times each. Their teacher then suggested a different way of tossing the ball, and the six students tried again. The number of successful tosses, before and after the teacher's added instruction, are shown below.   Find the signed rank of child A's difference. [Recall, differences of zero are not ranked.]

Accepted Answer

A)  +3 
B)  +3.5 
C)  +4 
D)  +5 
A)  +3 
B)  +3.5 
C)  +4 
D)  +5

Question 3

Six second grade students tried tossing a ball into a basket ten times each. Their teacher then suggested a different way of tossing the ball, and the six students tried again. The number of successful tosses, before and after the teacher's suggestion, are shown below.
Find the negative rank sum. [Recall, differences of zero are not ranked.]

Accepted Answer

A)  -1 
B)  -1.5 
C)  -3.5 
D)  -9 
A)  -1 
B)  -1.5 
C)  -3.5 
D)  -9

Question 4

A random sample of 12 men and 12 women were asked to report the number of hours they watched television on a Wednesday evening. If a researcher wants to test the hypothesis that there is no difference in the amount of time spent watching television based on gender, what z-values should be used for a two-tailed Wilcoxon rank sum test, at α = 0.05?

Accepted Answer

A)  z = $\pm$ 1.96 
B)  z = $\pm$ 2.00 
C)  z = $\pm$ 1.67 
D)  z = $\pm$ 3.00 
A)  z = $\pm$ 1.96 
B)  z = $\pm$ 2.00 
C)  z = $\pm$ 1.67 
D)  z = $\pm$ 3.00

Question 5

For a specific year, the median price of natural gas was $10.65 per 1000 cubic feet. A researcher wishes to see if there is enough evidence to reject the claim. Out of 36 households, 26 paid less than $10.65 per 1000 cubic feet for natural gas. Test the claim at   .

Accepted Answer

test value: z = -2.50 @#IMG-DLM& There i

Question 6

Two students were asked to rate six different television shows on a scale from 1 to 10 points, with higher values ranking ahead of lower values. The data are shown in the following table:   Which table shows the appropriate differences in the rankings needed in the computation of the Spearman rank correlation coefficient?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Test the following sequence for randomness at α = 0.05.
A A A A B B B A A A B B
Table of Critical Values for the Number of Runs, α = 0.05
Value of
N1
Value of n2
4
5
6
7
6
2
9
3
10
3
11
3
12
7
2
10
3
11
3
12
3
13
8
3
10
3
11
3
12
4
13

Accepted Answer

A)  Do not reject the hypothesis that the sequence is random, because the test value 4 is between the critical values 3 and 11. 
B)  Do not reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 10. 
C)  Do not reject the hypothesis that the sequence is random, because the test value 5 is outside the critical values 3 and 12. 
D)  Reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 11. 
A)  Do not reject the hypothesis that the sequence is random, because the test value 4 is between the critical values 3 and 11. 
B)  Do not reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 10. 
C)  Do not reject the hypothesis that the sequence is random, because the test value 5 is outside the critical values 3 and 12. 
D)  Reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 11.

Question 8

If a researcher using the sign test counts 16 positive signs and 9 negative signs, the test value is ______.

Accepted Answer

A)  9 
B)  7 
C)  -7 
D)  16 
A)  9 
B)  7 
C)  -7 
D)  16

Question 9

A researcher needs to conduct a suitable nonparametric test to compare two dependent variables. Which of the following should he use?

Accepted Answer

A)  t-test 
B)  Wilcoxon rank sum test 
C)  Wilcoxon signed-rank test 
D)  Kruskal-Wallis test 
A)  t-test 
B)  Wilcoxon rank sum test 
C)  Wilcoxon signed-rank test 
D)  Kruskal-Wallis test

Question 10

Which of the following is not an advantage of nonparametric methods over parametric methods?

Accepted Answer

A)  They can be used to test population parameters when the variable is not normally distributed. 
B)  They can be used when the data are nominal or ordinal. 
C)  They can be used to test hypotheses that do not involve population parameters. 
D)  They can use smaller sample sizes to give the same amount of information as their parametric counterparts. 
A)  They can be used to test population parameters when the variable is not normally distributed. 
B)  They can be used when the data are nominal or ordinal. 
C)  They can be used to test hypotheses that do not involve population parameters. 
D)  They can use smaller sample sizes to give the same amount of information as their parametric counterparts.

Question 11

Men and women were randomly selected to rate eight television programs on a scale of 1 to 50 with 50 being the best score. The average ratings are shown in the table below. Use the Spearman rank correlation coefficient at α = 0.05 to determine if there is a correlation between the rankings of men and women.

Accepted Answer

@#IMG-DLM& The test value, 0.857, is greater than

Question 12

When performing a sign test, one needs to consider whether or not data values are greater or less than a hypothesized median, as well as the magnitude of the differences between the values and the hypothesized median..

Accepted Answer

A) True 
 B)False

Question 13

If a panel of two judges were asked to rank 10 science fair projects, and the sum of the squares of the differences in the ranks was 49.5, then the Spearman rank correlation coefficient would be 0.70.

Accepted Answer

A) True 
 B)False

Question 14

A social studies teacher wanted to see whether the students exit the classroom randomly by gender. He observed the gender of students leaving the classroom in the order given below. Test for randomness at α = 0.05.
M M M M M M F F F F F F F F F M M F F F

Accepted Answer

There are 4 runs present. The critical v

Question 15

The _______________ is used to test a hypothesis about a median value for a sample. It includes counting the number of values greater or less than the hypothesized median value.

Accepted Answer

The answer of The _______________ is used to test a...

Question 16

If the test value for a Wilcoxon signed-rank test ws is 15, the sample size is 12, and the one-tailed test is to be carried out at the α = 0.05 level of significance, should the null hypothesis be rejected? Use the table of critical values for the signed-rank test below.
N
One-tailed,
Α = 0.05
Α = 0.025
Α = 0.01
Two-tailed,
Α = 0.10
Α = 0.050
Α = 0
02
10
11
8
5
11
14
11
7
12
17
14
10
13
21
17
13
14
26
21
16
15
30
25
20

Accepted Answer

A)  Reject null hypothesis because the test value 15 is less than the critical value 17. 
B)  Reject null hypothesis because the test value 15 is greater than the critical value 14 
C)  Do not reject null hypothesis because the test value 15 is less than the critical value 17 
D)  Do not reject null hypothesis because the test value 15 is greater than the critical value 14 
A)  Reject null hypothesis because the test value 15 is less than the critical value 17. 
B)  Reject null hypothesis because the test value 15 is greater than the critical value 14 
C)  Do not reject null hypothesis because the test value 15 is less than the critical value 17 
D)  Do not reject null hypothesis because the test value 15 is greater than the critical value 14

Question 17

Use the following to answer questions 21-24:
A landscaping company hypothesizes that the median number of lawns they mow in a weekend is 20. They tabulated the number of lawns mowed in a random sample of 14 weekends.   = .05), taken from Table J in the text:  
-What critical value should be used for this two-tailed test at α = 0.10?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
A)  1 
B)  2 
C)  3 
D)  4

Question 18

Nonparametric methods are more sensitive than their parametric counterparts even when the assumptions of the parametric methods are met.

Accepted Answer

A) True 
 B)False

Question 19

An instructor divided her class into four groups and asked them to keep track of the number of soft drinks that they consume per week. The data has been ranked and the sums determined for each group.
The sums of the ranks for the four groups is as follows:   RA = 51.5 ;RB = 48.5 ;RC = 45.5 ;RD = 64.5
Complete the Kruskal-Wallis test to determine if the hypothesis that the different groups consume the same amount of soft drinks per week is valid at α = 0.05.

Accepted Answer

Critical value: 7.815
Test value: 1.200

Question 20

The following data was collected as part of a study examining whether there is a difference between the number of hours men and women watch television. The values represent the number of hours a subject watched television on a designated Monday night. Lower values rank ahead of higher ones.   Calculate   ,   , and the z test value for the Wilcoxon rank sum test.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

If a researcher using the sign test has 15 positive signs and 19 negative signs in a test involving 34 samples, the z test value is ________.

For a specific year, the median price of natural gas was $10.65 per 1000 cubic feet. A researcher wishes to see if there is enough evidence to reject the claim. Out of 36 households, 26 paid less than $10.65 per 1000 cubic feet for natural gas. Test the claim at .

Test the following sequence for randomness at α = 0.05. A A A A B B B A A A B B Table of Critical Values for the Number of Runs, α = 0.05 Value of N₁ Value of n₂ 4 5 6 7 6 2 9 3 10 3 11 3 12 7 2 10 3 11 3 12 3 13 8 3 10 3 11 3 12 4 13

If a researcher using the sign test counts 16 positive signs and 9 negative signs, the test value is ______.

A researcher needs to conduct a suitable nonparametric test to compare two dependent variables. Which of the following should he use?

Which of the following is not an advantage of nonparametric methods over parametric methods?

When performing a sign test, one needs to consider whether or not data values are greater or less than a hypothesized median, as well as the magnitude of the differences between the values and the hypothesized median..

If a panel of two judges were asked to rank 10 science fair projects, and the sum of the squares of the differences in the ranks was 49.5, then the Spearman rank correlation coefficient would be 0.70.

A social studies teacher wanted to see whether the students exit the classroom randomly by gender. He observed the gender of students leaving the classroom in the order given below. Test for randomness at α = 0.05. M M M M M M F F F F F F F F F M M F F F

The _______________ is used to test a hypothesis about a median value for a sample. It includes counting the number of values greater or less than the hypothesized median value.

Nonparametric methods are more sensitive than their parametric counterparts even when the assumptions of the parametric methods are met.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Sampling and Simulation

Filters

Exam 13: Nonparametric Statistics

If a researcher using the sign test has 15 positive signs and 19 negative signs in a test involving 34 samples, the z test value is ________.

For a specific year, the median price of natural gas was $10.65 per 1000 cubic feet. A researcher wishes to see if there is enough evidence to reject the claim. Out of 36 households, 26 paid less than $10.65 per 1000 cubic feet for natural gas. Test the claim at .

Test the following sequence for randomness at α = 0.05. A A A A B B B A A A B B Table of Critical Values for the Number of Runs, α = 0.05 Value of N1 Value of n2 4 5 6 7 6 2 9 3 10 3 11 3 12 7 2 10 3 11 3 12 3 13 8 3 10 3 11 3 12 4 13

If a researcher using the sign test counts 16 positive signs and 9 negative signs, the test value is ______.

A researcher needs to conduct a suitable nonparametric test to compare two dependent variables. Which of the following should he use?

Which of the following is not an advantage of nonparametric methods over parametric methods?

When performing a sign test, one needs to consider whether or not data values are greater or less than a hypothesized median, as well as the magnitude of the differences between the values and the hypothesized median..

If a panel of two judges were asked to rank 10 science fair projects, and the sum of the squares of the differences in the ranks was 49.5, then the Spearman rank correlation coefficient would be 0.70.

A social studies teacher wanted to see whether the students exit the classroom randomly by gender. He observed the gender of students leaving the classroom in the order given below. Test for randomness at α = 0.05. M M M M M M F F F F F F F F F M M F F F

The _______________ is used to test a hypothesis about a median value for a sample. It includes counting the number of values greater or less than the hypothesized median value.

Nonparametric methods are more sensitive than their parametric counterparts even when the assumptions of the parametric methods are met.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Sampling and Simulation

Filters

Test the following sequence for randomness at α = 0.05. A A A A B B B A A A B B Table of Critical Values for the Number of Runs, α = 0.05 Value of N₁ Value of n₂ 4 5 6 7 6 2 9 3 10 3 11 3 12 7 2 10 3 11 3 12 3 13 8 3 10 3 11 3 12 4 13