Question 1

Many nonparametric tests involve ____________, which is the same as positioning the data values in a data array according to some scale.

Accepted Answer

ranking

Question 2

Two students rated, then ranked six different television shows. The final rankings are listed in the table below. Compute the Spearman rank correlation coefficient rs for their rankings.
Show
A
B
C
D
E
F
Student 1
1
6
3
4
2
5
Student 2
3
6
1
5
4
2

Accepted Answer

A)  0.371 
B)  0.628 
C)  0.714 
D)  0.886 
A)  0.371 
B)  0.628 
C)  0.714 
D)  0.886 A

Question 3

Test the following sequence of values for randomness with respect to being above or below the median.
4 6 3 8 5 7 5 7 3 7 9 1 3 8 5
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)  Reject the hypothesis that the sequence is random, because the test value 8 is between the critical values 3 and 12 
B)  Reject the hypothesis that the sequence is random, because the test value 7 is between the critical values 3 and 11 
C)  Do not reject the hypothesis that the sequence is random, because the test value 8 is between the critical values 3 and 11 
D)  Do not reject the hypothesis that the sequence is random, because the test value 7 is between the critical values 3 and 12 
A)  Reject the hypothesis that the sequence is random, because the test value 8 is between the critical values 3 and 12 
B)  Reject the hypothesis that the sequence is random, because the test value 7 is between the critical values 3 and 11 
C)  Do not reject the hypothesis that the sequence is random, because the test value 8 is between the critical values 3 and 11 
D)  Do not reject the hypothesis that the sequence is random, because the test value 7 is between the critical values 3 and 12 C

Question 4

A researcher tests three different brands of 2% milk to see how many grams of fat are in each 8 ounce glass. The results are shown below.   What is the critical value for a Kruskal-Wallis test of this data at α = 0.10.

Accepted Answer

A)  6.251 
B)  4.605 
C)  0.211 
D)  0.584 
A)  6.251 
B)  4.605 
C)  0.211 
D)  0.584

Question 5

Eight subjects were weighed before and after a new three-week "healthy" diet. At the 0.05 level of significance, can it be concluded that a difference in weight resulted? (Weights are in pounds.)

Accepted Answer

H₀: there is no difference in the weights

Question 6

Given the following data set, what is the ranking of the data value 23? Presume that lower data values rank ahead of higher data values.
26, 26, 16, 29, 33, 28, 11, 23

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  5 
A)  2 
B)  3 
C)  4 
D)  5

Question 7

A paired-sample sign test is used to test hypotheses comparing two dependent samples, such as a before and after test.

Accepted Answer

A) True 
 B)False

Question 8

A researcher wished to compare the automobile color preferences of men and women. An experiment was performed recording the preferences of 10 men and 10 women. If the sum of squares of the ranking differences is equal to 11.1, compute the Spearman rank correlation coefficient rs.

Accepted Answer

A)  0.966 
B)  0.933 
C)  0.992 
D)  0.870 
A)  0.966 
B)  0.933 
C)  0.992 
D)  0.870

Question 9

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. In the process of computing the test value the data from both samples should be combined, arranged in order, and ranked according to each group. Calculate the sum of the ranks for both groups. Lower values rank ahead of higher ones.

Accepted Answer

A)  The sum of the ranks for the men is 162.5, and the sum of the ranks for the woman is 137.5. 
B)  The sum of the ranks for the men is 170, and the sum of the ranks for the woman is 130. 
C)  The sum of the ranks for the men is 130, and the sum of the ranks for the woman is 170. 
D)  The sum of the ranks for the men is 137.5, and the sum of the ranks for the woman is 162.5. 
A)  The sum of the ranks for the men is 162.5, and the sum of the ranks for the woman is 137.5. 
B)  The sum of the ranks for the men is 170, and the sum of the ranks for the woman is 130. 
C)  The sum of the ranks for the men is 130, and the sum of the ranks for the woman is 170. 
D)  The sum of the ranks for the men is 137.5, and the sum of the ranks for the woman is 162.5.

Question 10

How many runs are in the following sequence?
A A A A B B B B B A B A

Accepted Answer

A)  5 
B)  6 
C)  7 
D)  8 
A)  5 
B)  6 
C)  7 
D)  8

Question 11

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. In preparation for using the Kruskal-Wallis test to support or reject an hypothesis about the behavior of the different groups, combine and rank the following data. Find the sum of the ranks for each group.

Accepted Answer

R_A = 51.5 ;

Question 12

A researcher believes that the median lowest temperature for February is 30 degrees Fahrenheit. A random sample of 14 years yields the following lowest temperatures for February, in degrees Fahrenheit:
15 15 17 19 19 21 22 24 25 27 30 32 36 38
Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values (two tailed,   = .05) taken from Table J:

Accepted Answer

A)  Reject the claim because the test value 4 is more than the critical value 3. 
B)  Do not reject the claim because the test value 3 is equal to the critical value 3. 
C)  Reject the claim because the test value 4 is more than the critical value 2. 
D)  Do not reject the claim because the test value 3 is more than the critical value 2. 
A)  Reject the claim because the test value 4 is more than the critical value 3. 
B)  Do not reject the claim because the test value 3 is equal to the critical value 3. 
C)  Reject the claim because the test value 4 is more than the critical value 2. 
D)  Do not reject the claim because the test value 3 is more than the critical value 2.

Question 13

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.   In the ranking of the absolute values of the differences, child C's rank is ______. [Recall, differences of zero are not ranked.]

Accepted Answer

A)  4.5 
B)  3.5 
C)  2.5 
D)  1.5 
A)  4.5 
B)  3.5 
C)  2.5 
D)  1.5

Question 14

The Wilcoxon rank sum test is used to test dependent samples and the Wilcoxon signed-rank test is used for independent samples.

Accepted Answer

A) True 
 B)False

Question 15

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:  
-State the null hypothesis.

Accepted Answer

@#IMG-DLM& The median number o

Question 16

If a researcher is using the sign test and has 3 positive signs, 8 negative signs, and 4 zeros, what is the test value?

Accepted Answer

A)  0 
B)  3 
C)  8 
D)  4 
A)  0 
B)  3 
C)  8 
D)  4

Question 17

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 positive rank sum. [Recall, differences of zero are not ranked.]

Accepted Answer

A)  +9 
B)  +15 
C)  +4 
D)  +1 
A)  +9 
B)  +15 
C)  +4 
D)  +1

Question 18

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 is the test value?

Accepted Answer

A)  3 
B)  4 
C)  7 
D)  8 
A)  3 
B)  4 
C)  7 
D)  8

Question 19

Two independent sets of data are collected, the first with 16 subjects and the second with 26 subjects. Mr. X is a subject in the first data set and is associated with a value of 80. In the first set, 3 values are ranked behind 80 and 12 values are ranked ahead of it (with Mr. X being the other data value). In the second set, 10 values are ranked behind 80 and 16 values are ranked ahead of it. What is Mr. X's rank in a Wilcoxon rank sum test?

Accepted Answer

A)  12 
B)  13 
C)  28 
D)  29 
A)  12 
B)  13 
C)  28 
D)  29

Question 20

Nonparametric methods tend to use less information than their parametric counterparts.

Accepted Answer

A) True 
 B)False

Many nonparametric tests involve ____________, which is the same as positioning the data values in a data array according to some scale.

Two students rated, then ranked six different television shows. The final rankings are listed in the table below. Compute the Spearman rank correlation coefficient r_s for their rankings. Show A B C D E F Student 1 1 6 3 4 2 5 Student 2 3 6 1 5 4 2

Test the following sequence of values for randomness with respect to being above or below the median. 4 6 3 8 5 7 5 7 3 7 9 1 3 8 5 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

A researcher tests three different brands of 2% milk to see how many grams of fat are in each 8 ounce glass. The results are shown below. What is the critical value for a Kruskal-Wallis test of this data at α = 0.10.

Eight subjects were weighed before and after a new three-week "healthy" diet. At the 0.05 level of significance, can it be concluded that a difference in weight resulted? (Weights are in pounds.)

Given the following data set, what is the ranking of the data value 23? Presume that lower data values rank ahead of higher data values. 26, 26, 16, 29, 33, 28, 11, 23

A paired-sample sign test is used to test hypotheses comparing two dependent samples, such as a before and after test.

A researcher wished to compare the automobile color preferences of men and women. An experiment was performed recording the preferences of 10 men and 10 women. If the sum of squares of the ranking differences is equal to 11.1, compute the Spearman rank correlation coefficient r_s.

How many runs are in the following sequence? A A A A B B B B B A B A

The Wilcoxon rank sum test is used to test dependent samples and the Wilcoxon signed-rank test is used for independent samples.

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: -State the null hypothesis.

If a researcher is using the sign test and has 3 positive signs, 8 negative signs, and 4 zeros, what is the test value?

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 is the test value?

Nonparametric methods tend to use less information than their parametric counterparts.

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

Many nonparametric tests involve ____________, which is the same as positioning the data values in a data array according to some scale.

Two students rated, then ranked six different television shows. The final rankings are listed in the table below. Compute the Spearman rank correlation coefficient rs for their rankings. Show A B C D E F Student 1 1 6 3 4 2 5 Student 2 3 6 1 5 4 2

Test the following sequence of values for randomness with respect to being above or below the median. 4 6 3 8 5 7 5 7 3 7 9 1 3 8 5 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

A researcher tests three different brands of 2% milk to see how many grams of fat are in each 8 ounce glass. The results are shown below. What is the critical value for a Kruskal-Wallis test of this data at α = 0.10.

Eight subjects were weighed before and after a new three-week "healthy" diet. At the 0.05 level of significance, can it be concluded that a difference in weight resulted? (Weights are in pounds.)

Given the following data set, what is the ranking of the data value 23? Presume that lower data values rank ahead of higher data values. 26, 26, 16, 29, 33, 28, 11, 23

A paired-sample sign test is used to test hypotheses comparing two dependent samples, such as a before and after test.

A researcher wished to compare the automobile color preferences of men and women. An experiment was performed recording the preferences of 10 men and 10 women. If the sum of squares of the ranking differences is equal to 11.1, compute the Spearman rank correlation coefficient rs.

How many runs are in the following sequence? A A A A B B B B B A B A

The Wilcoxon rank sum test is used to test dependent samples and the Wilcoxon signed-rank test is used for independent samples.

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: -State the null hypothesis.

If a researcher is using the sign test and has 3 positive signs, 8 negative signs, and 4 zeros, what is the test value?

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 is the test value?

Nonparametric methods tend to use less information than their parametric counterparts.

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

Two students rated, then ranked six different television shows. The final rankings are listed in the table below. Compute the Spearman rank correlation coefficient r_s for their rankings. Show A B C D E F Student 1 1 6 3 4 2 5 Student 2 3 6 1 5 4 2

Test the following sequence of values for randomness with respect to being above or below the median. 4 6 3 8 5 7 5 7 3 7 9 1 3 8 5 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

A researcher wished to compare the automobile color preferences of men and women. An experiment was performed recording the preferences of 10 men and 10 women. If the sum of squares of the ranking differences is equal to 11.1, compute the Spearman rank correlation coefficient r_s.