Question 1

In order to determine whether two variables are linearly related for non-normally distributed data, one
uses the Spearman rank correlation coefficient.

Accepted Answer

A) True 
 B)False  True

Question 2

It is believed that children can throw a ball farther after lunch than before lunch. A researcher decided to investigate this hypothesis for 14 children using the paired-sample sign test. Each of the distances below is in meters.
$\begin{array}{|c|c|c|}
\hline \text { Subject } & \begin{array}{c}
\text { Distance Before } \
\text { Lunch }
\end{array} & \begin{array}{c}
\text { Distance After } \
\text { Lunch }
\end{array} \
\hline 1 & 27 & 31 \
\hline 2 & 31 & 39 \
\hline 3 & 29 & 37 \
\hline 4 & 28 & 24 \
\hline 5 & 31 & 39 \
\hline 6 & 41 & 37 \
\hline 7 & 16 & 20 \
\hline 8 & 27 & 31 \
\hline 9 & 29 & 37 \
\hline 10 & 54 & 66 \
\hline 11 & 16 & 20 \
\hline 12 & 41 & 37 \
\hline 13 & 28 & 24 \
\hline 14 & 29 & 37 \
\hline
\end{array}$  At = .05, do the data support the claim? \[\begin{array}{l}
\text { You may use the following abbreviated table of critical values (one-tailed, } = .05 \text { ) taken from Table }\
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline \mathrm{n} & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \
\hline \text { critical value } & 2 & 2 & 3 & 3 & 3 & 4 & 4 & 5 & 5 & 5 & 6 & 6 & 7 & 7 & 7 \
\hline
\end{array}$

Accepted Answer

A)  Supports the claim because the test value 4 is more than the critical value 3 
B)  Does not support the claim because the test value 4 is more than the critical value 3 
C)  Does not support the claim because the test value 4 is less than the critical value 8 
D)  Does not support the claim because the test value 4 is equal to the critical value 4 
A)  Supports the claim because the test value 4 is more than the critical value 3 
B)  Does not support the claim because the test value 4 is more than the critical value 3 
C)  Does not support the claim because the test value 4 is less than the critical value 8 
D)  Does not support the claim because the test value 4 is equal to the critical value 4 B

Question 3

A researcher believes that the median low temperature for February is 8 degrees. A random sample of 14 years yields the following data: $\begin{array} { l l l l l l l l l l l l l l l l } - 7 & - 7 & - 3 & 2 & 3 & 10 & 14 & 16 \end{array}$
At $= .05$, should the researcher's hypothesis be accepted or rejected?
You may use the following abbreviated table of critical values (two-tailed, =.05) taken from Table J: 
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \
\hline \text { critical value } & 1 & 2 & 2 & 3 & 3 & 3 & 4 & 4 & 4 & 5 & 5 & 5 & 6 & 6 & 6 \
\hline
\end{array}$

Accepted Answer

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

Question 4

A researcher is interested in investigating two dependent non-normally distributed variables. Which of the following should be used for this application?

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 5

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. 
$\begin{array}{|c|c|c|}
\hline \text { Student } & \begin{array}{c}
\text { Successful Tosses } \
\text { Before (out of 10) }
\end{array} & \begin{array}{c}
\text { Successful Tosses } \
\text { After (out of 10) }
\end{array} \
\hline \text { A } & 7 & 4 \
\hline \text { B } & 5 & 5 \
\hline \text { C } & 7 & 4 \
\hline \text { D } & 2 & 3 \
\hline \text { E } & 7 & 4 \
\hline \text { F } & 5 & 5 \
\hline
\end{array}$ 
 Ignoring the differences of 0 , the signed rank of child $\mathrm { A }$ is:

Accepted Answer

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

Question 6

What type of test takes the magnitude of the data into consideration by using ranks?

Accepted Answer

A)  runs test 
B)  z-test 
C)  Wilcoxon rank sum test 
D)  Kruskal-Wallis test 
A)  runs test 
B)  z-test 
C)  Wilcoxon rank sum test 
D)  Kruskal-Wallis test

Question 7

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: 
$\begin{array}{|l|c|c|c|c|c|c|}
\hline \text { Show } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \
\hline \text { Student 1 } & 10 & 8 & 6 & 4 & 3 & 7 \
\hline \text { Student 2 } & 6 & 9 & 3 & 4 & 0 & 5 \
\hline
\end{array}$ What is the Spearman Rank Correlation Coefficient for this set of data?

Accepted Answer

A)  0.432 
B)  0.559 
C)  0.725 
D)  0.886 
A)  0.432 
B)  0.559 
C)  0.725 
D)  0.886

Question 8

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. 
$\begin{array}{|c|c|c|}
\hline \text { Student } & \begin{array}{c}
\text { Successful Tosses } \
\text { Before (out of 10) }
\end{array} & \begin{array}{c}
\text { Successful Tosses } \
\text { After (out of 10) }
\end{array} \
\hline \text { A } & 7 & 3 \
\hline \text { B } & 3 & 3 \
\hline \text { C } & 7 & 3 \
\hline \text { D } & 3 & 4 \
\hline \text { E } & 7 & 3 \
\hline \text { F } & 3 & 3 \
\hline
\end{array}$

Ignoring the differences of 0 , the negative rank sum is:

Accepted Answer

A)  -8 
B)  +10.5 
C)  -1 
D)  -10.5 
A)  -8 
B)  +10.5 
C)  -1 
D)  -10.5

Question 9

Nonparametric tests and statistics can be used in place of their parametric counterparts when the
assumption of ______________ cannot be met. 
________________________________________

Accepted Answer

The answer of Nonparametric tests and statistics can be used...

Question 10

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.
$\begin{array}{|c|c|c|}
\hline \text { Brand A } & \text { Brand B } & \text { Brand C } \
\hline 4.69 & 4.65 & 4.71 \
\hline 4.71 & 4.68 & 4.69 \
\hline 4.65 & 4.69 \text { (Bessic) } & 4.72 \
\hline 4.72 & 4.67 & 4.70 \
\hline 4.68 & 4.70 & 4.69 \
\hline
\end{array}$ 
What is the rank of the glass marked "Bessie"?

Accepted Answer

A)  7 
B)  7.5 
C)  8.5 
D)  9 
A)  7 
B)  7.5 
C)  8.5 
D)  9

Question 11

The sign test does not consider the magnitude of the data.

Accepted Answer

A) True 
 B)False

Question 12

Two independent sets of data are collected, one with 16 subjects and one with 26 subjects. Mr. X is in the first set of data and has a value of 67. In the first set of data, 5 values are higher than 67 and 10 values
Are lower (with Mr. X being the other data value). In the second set, 9 values are higher than 67 and 17
Values are lower. What is the rank of Mr. X?

Accepted Answer

A)  13 
B)  14 
C)  27 
D)  28 
A)  13 
B)  14 
C)  27 
D)  28

Question 13

The _______________ is used to test the value of a median for a specific sample. 
________________________________________

Accepted Answer

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

Question 14

Men and women were randomly selected to rank eight television programs on a scale of 1 to 50 , with 50 being the highest score. Use the Spearman rank correlation coefficient at $\alpha = 0.05$ to determine if there is a difference in the rankings between men and women

Accepted Answer

The answer of Men and women were randomly selected to...

Question 15

Nonparametric statistics can be applied to populations when the assumption of normality cannot be
met.

Accepted Answer

A) True 
 B)False

Question 16

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.
$\begin{array}{|c|c|c|}
\hline \text { Brand } \mathrm{A} & \text { Brand B } & \text { Brand C } \
\hline 4.73 & 4.69 & 4.75 \
\hline 4.75 & 4.72 & 4.73 \
\hline 4.69 & 4.73 & 4.76 \
\hline 4.76 & 4.71 & 4.74 \
\hline 4.72 & 4.74 & 4.73 \
\hline
\end{array}$ 
What is the sum of the ranks of Brand B?

Accepted Answer

A)  27.0 
B)  29.0 
C)  32.5 
D)  35.0 
A)  27.0 
B)  29.0 
C)  32.5 
D)  35.0

Question 17

What is the term that refers to any statistical test, such as the z-, t-, or F-test?

Accepted Answer

A)  distribution-free statistics 
B)  nonparametric statistics 
C)  parametric test 
D)  sign test 
A)  distribution-free statistics 
B)  nonparametric statistics 
C)  parametric test 
D)  sign test

Question 18

A researcher is interested in investigating three independent, non-normally distributed variables. Which of the following should be used for this application?

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 19

What is the critical value for the sign test if $\alpha = 005$ and there are 14 samples?

Accepted Answer

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

Question 20

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 wanted to test the hypothesis that there is no
Difference in the amount of time spent watching television based on gender, what z-values would be used
For the Wilcoxon rank sum test for $\alpha = 0.05$ (two-tailed)?

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)  $z = \pm 3.00$

In order to determine whether two variables are linearly related for non-normally distributed data, one uses the Spearman rank correlation coefficient.

A researcher is interested in investigating two dependent non-normally distributed variables. Which of the following should be used for this application?

What type of test takes the magnitude of the data into consideration by using ranks?

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: Show A B C D E F Student 1 10 8 6 4 3 7 Student 2 6 9 3 4 0 5 What is the Spearman Rank Correlation Coefficient for this set of data?

Nonparametric tests and statistics can be used in place of their parametric counterparts when the assumption of cannot be met. __________________________

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. Brand A Brand B Brand C 4.69 4.65 4.71 4.71 4.68 4.69 4.65 4.69 (Bessic) 4.72 4.72 4.67 4.70 4.68 4.70 4.69 What is the rank of the glass marked "Bessie"?

The sign test does not consider the magnitude of the data.

The _ is used to test the value of a median for a specific sample. __________________________

Nonparametric statistics can be applied to populations when the assumption of normality cannot be met.

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. Brand Brand B Brand C 4.73 4.69 4.75 4.75 4.72 4.73 4.69 4.73 4.76 4.76 4.71 4.74 4.72 4.74 4.73 What is the sum of the ranks of Brand B?

What is the term that refers to any statistical test, such as the z-, t-, or F-test?

A researcher is interested in investigating three independent, non-normally distributed variables. Which of the following should be used for this application?

What is the critical value for the sign test if $\alpha = 005$ and there are 14 samples?

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

In order to determine whether two variables are linearly related for non-normally distributed data, one uses the Spearman rank correlation coefficient.

A researcher is interested in investigating two dependent non-normally distributed variables. Which of the following should be used for this application?

What type of test takes the magnitude of the data into consideration by using ranks?

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: Show A B C D E F Student 1 10 8 6 4 3 7 Student 2 6 9 3 4 0 5 What is the Spearman Rank Correlation Coefficient for this set of data?

Nonparametric tests and statistics can be used in place of their parametric counterparts when the assumption of ______________ cannot be met. ________________________________________

A researcher tests three different brands of 2%2 \%2% milk to see how many grams of fat are in each 8-ounce glass. The results are shown below. Brand A Brand B Brand C 4.69 4.65 4.71 4.71 4.68 4.69 4.65 4.69 (Bessic) 4.72 4.72 4.67 4.70 4.68 4.70 4.69 What is the rank of the glass marked "Bessie"?

The sign test does not consider the magnitude of the data.

The _______________ is used to test the value of a median for a specific sample. ________________________________________

Men and women were randomly selected to rank eight television programs on a scale of 1 to 50 , with 50 being the highest score. Use the Spearman rank correlation coefficient at α=0.05\alpha = 0.05α=0.05 to determine if there is a difference in the rankings between men and women

Nonparametric statistics can be applied to populations when the assumption of normality cannot be met.

A researcher tests three different brands of 2%2 \%2% milk to see how many grams of fat are in each 8 ounce glass. The results are shown below. Brand Brand B Brand C 4.73 4.69 4.75 4.75 4.72 4.73 4.69 4.73 4.76 4.76 4.71 4.74 4.72 4.74 4.73 What is the sum of the ranks of Brand B?

What is the term that refers to any statistical test, such as the z-, t-, or F-test?

A researcher is interested in investigating three independent, non-normally distributed variables. Which of the following should be used for this application?

What is the critical value for the sign test if α=005\alpha = 005α=005 and there are 14 samples?

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

Nonparametric tests and statistics can be used in place of their parametric counterparts when the assumption of cannot be met. __________________________

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. Brand A Brand B Brand C 4.69 4.65 4.71 4.71 4.68 4.69 4.65 4.69 (Bessic) 4.72 4.72 4.67 4.70 4.68 4.70 4.69 What is the rank of the glass marked "Bessie"?

The _ is used to test the value of a median for a specific sample. __________________________

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. Brand Brand B Brand C 4.73 4.69 4.75 4.75 4.72 4.73 4.69 4.73 4.76 4.76 4.71 4.74 4.72 4.74 4.73 What is the sum of the ranks of Brand B?

What is the critical value for the sign test if $\alpha = 005$ and there are 14 samples?