Question 1

What is another term for nonparametric statistics?

Accepted Answer

A)  distribution-free statistics 
B)  inferential statistics 
C)  observational statistics 
D)  sign statistics 
A)  distribution-free statistics 
B)  inferential statistics 
C)  observational statistics 
D)  sign statistics

Question 2

In the Wilcoxon rank sum test, if the ___________ hypothesis is true, the values in the different groups will not be ranked similarly.

Accepted Answer

The answer of In the Wilcoxon rank sum test, if...

Question 3

Use the following to answer questions :
A professional golfer wanted to determine if there was a difference in the number of yards that golfers could hit a ball depending on the brand of driver (a particular type of club) used. Twenty-five golfers (of approximately the same ability) were divided into five groups ,and each golfer in a group hit a ball with one particular brand of driver. The number of yards they hit the ball was recorded, and a rank was assigned to each value. The data are tabulated below with the number of yards hit listed first and the ranks listed in parentheses.  
-Compute the appropriate test value for a Kruskal-Wallis test, at α = 0.05, of the professional golfer's hypothesis.

Accepted Answer

A)  16.610 
B)  13.610 
C)  6.805 
D)  3.805 
A)  16.610 
B)  13.610 
C)  6.805 
D)  3.805

Question 4

_______________ statistics can be used to test hypotheses that do not involve specific population parameters such as $\mu$, $\sigma$, or p.

Accepted Answer

The answer of _______________ statistics can be used to test...

Question 5

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. Compute the sum of squares of the difference in ranks   ,as needed in a Spearman rank correlation coefficient.

Accepted Answer

A)  0.0 
B)  41.5 
C)  33.5 
D)  3.0 
A)  0.0 
B)  41.5 
C)  33.5 
D)  3.0

Question 6

It is believed that children can throw a ball further after lunch than before lunch. A researcher decided to investigate this hypothesis using the paired-sample sign test. Each of 14 children threw a ball as far as they could before and after lunch. The distances in meters are tabulated below.     Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values for the sign test (one tailed,   = .05), taken from Table J in the text:

Accepted Answer

A)  The data supports the claim (rejects null hypothesis) because the test value 6 is more than the critical value 5. 
B)  The data does not support the claim (does not reject the null hypothesis) because the test value 4 is more than the critical value 3. 
C)  The data does not support the claim (does not reject the null hypothesis) because the test value 4 is less than the critical value 10. 
D)  The data does not support the claim (does not reject the null hypothesis) because the test value 6 is equal to the critical value 6. 
A)  The data supports the claim (rejects null hypothesis) because the test value 6 is more than the critical value 5. 
B)  The data does not support the claim (does not reject the null hypothesis) because the test value 4 is more than the critical value 3. 
C)  The data does not support the claim (does not reject the null hypothesis) because the test value 4 is less than the critical value 10. 
D)  The data does not support the claim (does not reject the null hypothesis) because the test value 6 is equal to the critical value 6.

Question 7

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.   Find the sum of the ranks for Brand C.

Accepted Answer

A)  4.74 
B)  23.68 
C)  22.5 
D)  58 
A)  4.74 
B)  23.68 
C)  22.5 
D)  58

Question 8

Nonparametric statistics can be applied to populations that are not normally distributed.

Accepted Answer

A) True 
 B)False

Question 9

It was thought that hypnosis would lower a person's desire to smoke. A researcher decided to investigate this hypothesis using a paired-sample sign test in which the number of cigarettes/day smoked by subjects was recorded before and after hypnosis. Given that the critical value at α = 0.05 in a one-tailed test is 1, is there enough evidence to support the hypothesis?

Accepted Answer

A)  Since the critical value is less than the test value, there is not enough evidence to reject the null hypothesis. Consequently, the data do not support the hypothesis that hypnosis reduces smoking. 
B)  Since the critical value is greater than the test value, there is not enough evidence to reject the null hypothesis. Consequently, the data do not support the hypothesis that hypnosis reduces smoking. 
C)  Since the critical value is less than the test value, there is enough evidence to reject the null hypothesis. Consequently, the data support the hypothesis that hypnosis reduces smoking. . 
D)  Since the critical value is greater than the test value, there is enough evidence to reject the null hypothesis. Consequently, the data support the hypothesis that hypnosis reduces smoking. 
A)  Since the critical value is less than the test value, there is not enough evidence to reject the null hypothesis. Consequently, the data do not support the hypothesis that hypnosis reduces smoking. 
B)  Since the critical value is greater than the test value, there is not enough evidence to reject the null hypothesis. Consequently, the data do not support the hypothesis that hypnosis reduces smoking. 
C)  Since the critical value is less than the test value, there is enough evidence to reject the null hypothesis. Consequently, the data support the hypothesis that hypnosis reduces smoking. . 
D)  Since the critical value is greater than the test value, there is enough evidence to reject the null hypothesis. Consequently, the data support the hypothesis that hypnosis reduces smoking.

Question 10

If a student is interested in determining whether or not a particular score was the median grade on the statistics exam, he might ask several other students what their scores were then apply the Wilcoxon rank sum test..

Accepted Answer

A) True 
 B)False

Question 11

If a variable is normally distributed, researchers will need more data to determine the same information using parametric methods than they would using nonparametric methods. In other words, parametric methods are not as efficient as nonparametric methods.

Accepted Answer

A) True 
 B)False

Question 12

Given the following data set, what is the ranking of the data value 15? Presume that lower data values rank ahead of higher data values.
16, 18, 12, 19, 15, 20, 13, 18

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6 
A)  3 
B)  4 
C)  5 
D)  6

Question 13

Given the following data set, what is the ranking of the data value 28? Presume that lower data values rank ahead of higher data values.
31, 28, 21, 34, 38, 33, 16, 28

Accepted Answer

A)  2 
B)  2.5 
C)  3 
D)  3.5 
A)  2 
B)  2.5 
C)  3 
D)  3.5

Question 14

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:  
-Use the test value, the critical value, and the appropriate table to decide if the landscaping company's hypothesis that they mow a median of 20 lawns per weekend valid at α = 0.10?

Accepted Answer

A)  Yes. The test value is greater than the critical value, so the null hypothesis is not rejected. 
B)  No. The test value is greater than the critical value, so the null hypothesis is rejected. 
C)  Yes. The test value is less than the critical value, so the null hypothesis is not rejected 
D)  No. The test value is less than the critical value, so the null hypothesis is rejected 
A)  Yes. The test value is greater than the critical value, so the null hypothesis is not rejected. 
B)  No. The test value is greater than the critical value, so the null hypothesis is rejected. 
C)  Yes. The test value is less than the critical value, so the null hypothesis is not rejected 
D)  No. The test value is less than the critical value, so the null hypothesis is rejected

Question 15

What is the critical value for a one-tailed sign test, at α = 0.01 when there are 14 samples?

Accepted Answer

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

Question 16

A researcher believes that the median annual rainfall in the valley is about 36.0 inches. A randomly selected sample of 20 years had the following numbers of inches of rainfall in the valley:
19)2, 20.8, 22.5, 25.1, 27.1, 27.3, 31.0, 37.2, 37.7, 39.0, 41.1, 42.4, 45.7, 49.0, 49.8, 50.9, 53.1, 55.3, 61.2, 65.8
Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values for the sign test (two tailed,   = .05), taken from Table J in the text:

Accepted Answer

A)  Reject, because the test value 6 is greater than the critical value 4. 
B)  Accept, because the test value 7 is greater than the critical value 4. 
C)  Reject, because the test value 6 is greater than the critical value 5. 
D)  Accept, because the test value 7 is greater than the critical value 5. 
A)  Reject, because the test value 6 is greater than the critical value 4. 
B)  Accept, because the test value 7 is greater than the critical value 4. 
C)  Reject, because the test value 6 is greater than the critical value 5. 
D)  Accept, because the test value 7 is greater than the critical value 5.

Question 17

A researcher collects data on the distance between college students' high schools and their colleges. He believes that the median distance is 190 miles. A random sample of 15 students yields the following number of miles between their high schools and colleges:
15 15 20 20 35 35 45 65 75 100 125 165 185 800 2160
Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values for the sign test (two-tailed,   = .05), taken from Table J in the text:

Accepted Answer

A)  Reject because the test value 2 is less than the critical value 3. 
B)  Accept because the test value 4 is less than the critical value 13. 
C)  Reject because the test value 13 is more than the critical value 3. 
D)  Accept because the test value 190 is more than the critical value 3. 
A)  Reject because the test value 2 is less than the critical value 3. 
B)  Accept because the test value 4 is less than the critical value 13. 
C)  Reject because the test value 13 is more than the critical value 3. 
D)  Accept because the test value 190 is more than the critical value 3.

Question 18

Six second-graders 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 sum of the positive and negative rank sums as in a Wilcoxon signed-rank test.

Accepted Answer

A)  positive rank sum = 2; negative rank sum = -1 
B)  positive rank sum = 4; negative rank sum = -2 
C)  positive rank sum = 6; negative rank sum = -2 
D)  positive rank sum = 7; negative rank sum = -3 
A)  positive rank sum = 2; negative rank sum = -1 
B)  positive rank sum = 4; negative rank sum = -2 
C)  positive rank sum = 6; negative rank sum = -2 
D)  positive rank sum = 7; negative rank sum = -3

Question 19

Use the following to answer questions :
A professional golfer wanted to determine if there was a difference in the number of yards that golfers could hit a ball depending on the brand of driver (a particular type of club) used. Twenty-five golfers (of approximately the same ability) were divided into five groups ,and each golfer in a group hit a ball with one particular brand of driver. The number of yards they hit the ball was recorded, and a rank was assigned to each value. The data are tabulated below with the number of yards hit listed first and the ranks listed in parentheses.  
-Determine the critical value for a Kruskal-Wallis test, then compare it to the test value and decide if the null hypothesis should be rejected or not.

Accepted Answer

A)  The test value is higher than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver does affect the distance a player can hit the ball. 
B)  The test value is lower than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver does affect the distance a player can hit the ball. 
C)  The test value is higher than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands of driver affect the distance a player can hit the ball. 
D)  The test value is lower than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands of driver affect the distance a player can hit the ball. 
A)  The test value is higher than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver does affect the distance a player can hit the ball. 
B)  The test value is lower than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver does affect the distance a player can hit the ball. 
C)  The test value is higher than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands of driver affect the distance a player can hit the ball. 
D)  The test value is lower than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands of driver affect the distance a player can hit the ball.

Question 20

Two independent samples of tall and short students are selected, and their scores on a 25 point statistics quiz are recorded as shown in the table below. What is the rank of Wilt's score? As in most exams, higher values rank ahead of lower values.

Accepted Answer

A)  6 
B)  7 
C)  13 
D)  14 
A)  6 
B)  7 
C)  13 
D)  14

What is another term for nonparametric statistics?

In the Wilcoxon rank sum test, if the ___________ hypothesis is true, the values in the different groups will not be ranked similarly.

_______________ statistics can be used to test hypotheses that do not involve specific population parameters such as $\mu$ , $\sigma$ , or p.

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. Compute the sum of squares of the difference in ranks ,as needed in a Spearman rank correlation coefficient.

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. Find the sum of the ranks for Brand C.

Nonparametric statistics can be applied to populations that are not normally distributed.

If a student is interested in determining whether or not a particular score was the median grade on the statistics exam, he might ask several other students what their scores were then apply the Wilcoxon rank sum test..

If a variable is normally distributed, researchers will need more data to determine the same information using parametric methods than they would using nonparametric methods. In other words, parametric methods are not as efficient as nonparametric methods.

Given the following data set, what is the ranking of the data value 15? Presume that lower data values rank ahead of higher data values. 16, 18, 12, 19, 15, 20, 13, 18

Given the following data set, what is the ranking of the data value 28? Presume that lower data values rank ahead of higher data values. 31, 28, 21, 34, 38, 33, 16, 28

What is the critical value for a one-tailed sign test, at α = 0.01 when there are 14 samples?

Two independent samples of tall and short students are selected, and their scores on a 25 point statistics quiz are recorded as shown in the table below. What is the rank of Wilt's score? As in most exams, higher values rank ahead of lower values.

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

What is another term for nonparametric statistics?

In the Wilcoxon rank sum test, if the ___________ hypothesis is true, the values in the different groups will not be ranked similarly.

_______________ statistics can be used to test hypotheses that do not involve specific population parameters such as μ\muμ , σ\sigmaσ , or p.

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. Compute the sum of squares of the difference in ranks ,as needed in a Spearman rank correlation coefficient.

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. Find the sum of the ranks for Brand C.

Nonparametric statistics can be applied to populations that are not normally distributed.

If a student is interested in determining whether or not a particular score was the median grade on the statistics exam, he might ask several other students what their scores were then apply the Wilcoxon rank sum test..

If a variable is normally distributed, researchers will need more data to determine the same information using parametric methods than they would using nonparametric methods. In other words, parametric methods are not as efficient as nonparametric methods.

Given the following data set, what is the ranking of the data value 15? Presume that lower data values rank ahead of higher data values. 16, 18, 12, 19, 15, 20, 13, 18

Given the following data set, what is the ranking of the data value 28? Presume that lower data values rank ahead of higher data values. 31, 28, 21, 34, 38, 33, 16, 28

What is the critical value for a one-tailed sign test, at α = 0.01 when there are 14 samples?

Two independent samples of tall and short students are selected, and their scores on a 25 point statistics quiz are recorded as shown in the table below. What is the rank of Wilt's score? As in most exams, higher values rank ahead of lower values.

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

_______________ statistics can be used to test hypotheses that do not involve specific population parameters such as $\mu$ , $\sigma$ , or p.