Question 1

If two judges were asked to rank 10 science fair projects, the Spearman rank correlation coefficient would
be 0.70 given that the sum of squares is equal to 50.

Accepted Answer

A) True 
 B)False

Question 2

When using the Kruskal-Wallis test to compare three or more means, it is necessary to consider all data
values together and then rank them.

Accepted Answer

A) True 
 B)False

Question 3

Calculate the rank totals for each of the four groups described in problem 53 and complete the Kruskal-
Wallis to test the null hypothesis that there is no difference in mean weekly soft drink consumption
among the 4 corresponding treatment conditions for $$\alpha = 0.05$$ .

Accepted Answer

\[\begin{array} { c c } 
\hline \text {

Question 4

The Kruskal-Wallis test is always left-tailed.

Accepted Answer

A) True 
 B)False

Question 5

Two students were asked to rate six different television shows on a scale from 0 to 10 . The data are shown in the following table: 
$\begin{array}{|l|c|c|c|c|c|c|}
\hline \text { Show } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \
\hline \text { Student 1 } & 8 & 6 & 8 & 6 & 6 & 7 \
\hline \text { Student } 2 & 8 & 9 & 3 & 5 & 0 & 5 \
\hline
\end{array}$
What are the television show rankings for student 2 (to be used to calculate the Spearman Rank Correlation Coefficient)?

Accepted Answer

A)  A-2, B-1, C-5, D-3.5, E-6, F-3.5 
B)  A-1, B-5, C-2, D-3.5, E-6, F-3.5 
C)  A-2, B-1, C-6, D-3.5, E-5, F-3.5 
D)  A-2, B-1, C-5, D-2.5, E-6, F-2.5 
A)  A-2, B-1, C-5, D-3.5, E-6, F-3.5 
B)  A-1, B-5, C-2, D-3.5, E-6, F-3.5 
C)  A-2, B-1, C-6, D-3.5, E-5, F-3.5 
D)  A-2, B-1, C-5, D-2.5, E-6, F-2.5

Question 6

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 7

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. 
$\begin{array}{|c|c|c|}
\hline \text { Student } & \begin{array}{c}
\text { Successful Tosses } \
\text { Before (out of 10) }
\end{array} & \begin{array}{c}
\text { Successful Tosses } \
\text { After (out of 10) }
\end{array} \
\hline \text { A } & 4 & 5 \
\hline \text { B } & 3 & 3 \
\hline \text { C } & 5 & 1 \
\hline \text { D } & 4 & 5 \
\hline \text { E } & 5 & 1 \
\hline \text { F } & 3 & 3 \
\hline
\end{array}$

Ignoring the differences of 0 , the (unsigned) rank of child $C$ is:

Accepted Answer

A)  4 
B)  3.5 
C)  3 
D)  2.5 
A)  4 
B)  3.5 
C)  3 
D)  2.5

Question 8

Use the Kruskal-Wallis test to determine if there is a difference in the means of these five groups. With $\alpha = 0.5$, and the $d \cdot f = k - 1 = 5 - 1 = 4$, the critical value is $9.488$. Rank the above data and calculate the value for $H$. Choose the correct table for the summary of the ranking results and the calculation of the $H$ value.
Refer To:13-58

Accepted Answer

A) $\begin{array}{ccccc}
\hline \text { Group A } & \text { Group B Group C Group D Group E } \
\hline 105 & 36 & 85 & 63 & 36
\end{array}$ 
B) 
 $\begin{array}{l}
H = 13.61\
\begin{array} { c c c c c } 
\hline \text { Group A}&\text { Group B }&\text {Group C }&\text {Group D }&\text {Group E } \
\hline 105 & 56 & 72 & 63 & 36
\end{array}
\end{array}$ 
C) 
 $\begin{array}{l}
H = 12.87\
\begin{array} { c c c c c } 
\hline \text { Group A}&\text { Group B }&\text {Group C }&\text {Group D }&\text {Group E } \
\hline 105 & 62&71&63&36
\end{array}
\end{array}$ 
D)  
  
A) $\begin{array}{ccccc}
\hline \text { Group A } & \text { Group B Group C Group D Group E } \
\hline 105 & 36 & 85 & 63 & 36
\end{array}$ 
B) 
 $\begin{array}{l}
H = 13.61\
\begin{array} { c c c c c } 
\hline \text { Group A}&\text { Group B }&\text {Group C }&\text {Group D }&\text {Group E } \
\hline 105 & 56 & 72 & 63 & 36
\end{array}
\end{array}$ 
C) 
 $\begin{array}{l}
H = 12.87\
\begin{array} { c c c c c } 
\hline \text { Group A}&\text { Group B }&\text {Group C }&\text {Group D }&\text {Group E } \
\hline 105 & 62&71&63&36
\end{array}
\end{array}$ 
D)

Question 9

$$\begin{array}{l}
\text { Two students were asked to rate six different television shows on a scale from } 0 \text { to } 10 \text {. The data are shown in the following table:  }\
\begin{array} { l | l | l | l | l | l | l | l | } 
& \text { Show } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \
\hline \text { shown in the following table: } & \text { Student 1 } & 9 & 6 & 8 & 6 & 4 & 7 \
\hline \text { Student 2 } & 3 & 9 & 3 & 5 & 4 & 5 \
\hline
\end{array}
\end{array}$$ What are the television show rankings for student 1 (to be used to calculate the Spearman Rank Correlation Coefficient)?

Accepted Answer

A)  A-1, B-4.5, C-2, D-4.5, E-6, F-3 
B)  A-2, B-4.5, C-2, D-4.5, E-6, F-2 
C)  A-1, B-4, C-4, D-5, E-6, F-1 
D)  A-1, B-4.5, C-2, D-4.5, E-1, F-3 
A)  A-1, B-4.5, C-2, D-4.5, E-6, F-3 
B)  A-2, B-4.5, C-2, D-4.5, E-6, F-2 
C)  A-1, B-4, C-4, D-5, E-6, F-1 
D)  A-1, B-4.5, C-2, D-4.5, E-1, F-3

Question 10

Is there a significant difference between Groups A-E because of the different golf clubs? Refer To:13-58

Accepted Answer

A) Because the test value is higher than the critical value, the decision is to reject the null hypothesis.
Therefore, one can state that the golf clubs do affect the distance a player can hit the ball. 
B) Because the test value is lower than the critical value, the decision is to reject the null hypothesis.
Therefore, one can state that the golf clubs do affect the distance a player can hit the ball. 
C) Because the test value is higher than the critical value, the decision is to not reject the null hypothesis.
Therefore, one can state that the golf clubs do affect the distance a player can hit the ball. 
D) Because the test value is lower than the critical value, the decision is to not reject the null hypothesis.Therefore, one can state that the golf clubs do not affect the distance a player can hit the ball. 
A) Because the test value is higher than the critical value, the decision is to reject the null hypothesis.
Therefore, one can state that the golf clubs do affect the distance a player can hit the ball. 
B) Because the test value is lower than the critical value, the decision is to reject the null hypothesis.
Therefore, one can state that the golf clubs do affect the distance a player can hit the ball. 
C) Because the test value is higher than the critical value, the decision is to not reject the null hypothesis.
Therefore, one can state that the golf clubs do affect the distance a player can hit the ball. 
D) Because the test value is lower than the critical value, the decision is to not reject the null hypothesis.Therefore, one can state that the golf clubs do not affect the distance a player can hit the ball.

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

A researcher wished to compare the automobile colour 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 8, what is the Spearman Rank Correlation Coefficient   ?

Accepted Answer

A)  0.975 
B)  0.952 
C)  0.476 
D)  0.905 
A)  0.975 
B)  0.952 
C)  0.476 
D)  0.905

Question 13

A study of the effects of a chemical additive on soil acidity recorded the acidity of eight plots of land before and after the application of the additive. The results were:

$\begin{array}{|l|l|l|l|l|l|l|l|l|}
\hline \text { Plot } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \
\hline \text { Before } & 10 & 8 & 9 & 7 & 8 & 6 & 9 & 11 \
\hline \text { After } & 8 & 7 & 7 & 8 & 6 & 6 & 8 & 8 \
\hline & & & & & & & & \
\hline
\end{array}$

The test value for the signed-rank test is:

Accepted Answer

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

Question 14

_______________ are used to test hypotheses that do not involve specific population parameters such as $$\mu , \sigma , \text { or } \mathrm { r } _ { . }$$ 
________________________________________

Accepted Answer

Nonparamet

Question 15

A weight loss program measured 48 of their clients before entering the program and again after finishing
the program. The sum of positive ranks is 800 and negative ranks 376. Find the value of the test
statistic.

Accepted Answer

The answer of A weight loss program measured 48 of...

Question 16

Two genetics classes took the same exam and their scores are as shown in the table below. What is the rank of the score for Gregor?
$\begin{array}{|c|c|}
\hline \text { Class 1 } & \text { Class 2 } \
\hline 17 & 12 \
\hline 19 & 10 \
\hline 16 & 19 \
\hline 16 & 17 \
\hline 12 & 14 \
\hline 15 \text { (Gregor) } & 19 \
\hline 10 & 14 \
\hline 19 & 15 \
\hline 18 & 17 \
\hline 14 & 16 \
\hline
\end{array}$

Accepted Answer

A)  8.5 
B)  9 
C)  9.5 
D)  10 
A)  8.5 
B)  9 
C)  9.5 
D)  10

Question 17

If data is normally distributed, then the Wilcoxon signed-rank test is more powerful than the t-test.

Accepted Answer

A) True 
 B)False

Question 18

$$\text { Two students were asked to rate six different television shows on a scale from } 0 \text { to } 10 \text {. The data are shown in the following table:   }$$
$\begin{array}{|l|c|c|c|c|c|c|}
\hline \text { Show } & \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} & \mathrm{F} \
\hline \text { Student 1 } & 10 & 8 & 6 & 4 & 3 & 7 \
\hline \text { Student 2 } & 7 & 9 & 3 & 4 & 0 & 5 \
\hline
\end{array}$ What is the sum of squares of the ranking differences (to be used to calculate the Spearman Rank Correlation Coefficient)?

Accepted Answer

A)  16 
B)  12 
C)  8 
D)  4 
A)  16 
B)  12 
C)  8 
D)  4

Question 19

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 20

Test the following sequence for randomness
. A A A A B B B A A A B B You may use the following abbreviated table of critical values for runs (at = .05). Reject the null hypothesis if the number of runs is less than or equal to the smaller value or greater than or equal to the

larger value.

Accepted Answer

A)  Do not reject because the test value 4 is between the critical values 3 and 11 
B)  Do not reject because the test value 7 is between the critical values 3 and 12 
C)  Do not reject because the test value 4 is outside the critical values 3 and 11 
D)  Reject because the test value 7 is between the critical values 3 and 11 
A)  Do not reject because the test value 4 is between the critical values 3 and 11 
B)  Do not reject because the test value 7 is between the critical values 3 and 12 
C)  Do not reject because the test value 4 is outside the critical values 3 and 11 
D)  Reject because the test value 7 is between the critical values 3 and 11

If two judges were asked to rank 10 science fair projects, the Spearman rank correlation coefficient would be 0.70 given that the sum of squares is equal to 50.

When using the Kruskal-Wallis test to compare three or more means, it is necessary to consider all data values together and then rank them.

Calculate the rank totals for each of the four groups described in problem 53 and complete the Kruskal- Wallis to test the null hypothesis that there is no difference in mean weekly soft drink consumption among the 4 corresponding treatment conditions for $\alpha = 0.05$ .

The Kruskal-Wallis test is always left-tailed.

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

Is there a significant difference between Groups A-E because of the different golf clubs? Refer To:13-58

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

A researcher wished to compare the automobile colour 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 8, what is the Spearman Rank Correlation Coefficient ?

A study of the effects of a chemical additive on soil acidity recorded the acidity of eight plots of land before and after the application of the additive. The results were: Plot 1 2 3 4 5 6 7 8 Before 10 8 9 7 8 6 9 11 After 8 7 7 8 6 6 8 8 The test value for the signed-rank test is:

_______________ are used to test hypotheses that do not involve specific population parameters such as $\mu , \sigma , \text { or } \mathrm { r } _ { . }$ ________________________________________

A weight loss program measured 48 of their clients before entering the program and again after finishing the program. The sum of positive ranks is 800 and negative ranks 376. Find the value of the test statistic.

Two genetics classes took the same exam and their scores are as shown in the table below. What is the rank of the score for Gregor? Class 1 Class 2 17 12 19 10 16 19 16 17 12 14 15 (Gregor) 19 10 14 19 15 18 17 14 16

If data is normally distributed, then the Wilcoxon signed-rank test is more powerful than the t-test.

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

Test the following sequence for randomness . A A A A B B B A A A B B You may use the following abbreviated table of critical values for runs (at = .05). Reject the null hypothesis if the number of runs is less than or equal to the smaller value or greater than or equal to the larger value.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

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

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Glossary

Filters

Exam 12: Data Bank

If two judges were asked to rank 10 science fair projects, the Spearman rank correlation coefficient would be 0.70 given that the sum of squares is equal to 50.

When using the Kruskal-Wallis test to compare three or more means, it is necessary to consider all data values together and then rank them.

Calculate the rank totals for each of the four groups described in problem 53 and complete the Kruskal- Wallis to test the null hypothesis that there is no difference in mean weekly soft drink consumption among the 4 corresponding treatment conditions for α=0.05\alpha = 0.05α=0.05 .

The Kruskal-Wallis test is always left-tailed.

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

Is there a significant difference between Groups A-E because of the different golf clubs? Refer To:13-58

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

A researcher wished to compare the automobile colour 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 8, what is the Spearman Rank Correlation Coefficient ?

A study of the effects of a chemical additive on soil acidity recorded the acidity of eight plots of land before and after the application of the additive. The results were: Plot 1 2 3 4 5 6 7 8 Before 10 8 9 7 8 6 9 11 After 8 7 7 8 6 6 8 8 The test value for the signed-rank test is:

_______________ are used to test hypotheses that do not involve specific population parameters such as μ,σ, or r.\mu , \sigma , \text { or } \mathrm { r } _ { . }μ,σ, or r.​ ________________________________________

A weight loss program measured 48 of their clients before entering the program and again after finishing the program. The sum of positive ranks is 800 and negative ranks 376. Find the value of the test statistic.

Two genetics classes took the same exam and their scores are as shown in the table below. What is the rank of the score for Gregor? Class 1 Class 2 17 12 19 10 16 19 16 17 12 14 15 (Gregor) 19 10 14 19 15 18 17 14 16

If data is normally distributed, then the Wilcoxon signed-rank test is more powerful than the t-test.

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

Test the following sequence for randomness . A A A A B B B A A A B B You may use the following abbreviated table of critical values for runs (at = .05). Reject the null hypothesis if the number of runs is less than or equal to the smaller value or greater than or equal to the larger value.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

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

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Glossary

Filters

Calculate the rank totals for each of the four groups described in problem 53 and complete the Kruskal- Wallis to test the null hypothesis that there is no difference in mean weekly soft drink consumption among the 4 corresponding treatment conditions for $\alpha = 0.05$ .

_______________ are used to test hypotheses that do not involve specific population parameters such as $\mu , \sigma , \text { or } \mathrm { r } _ { . }$ ________________________________________