Question 1

The following data are drawn from a matched pairs experiment: $$\begin{array}{l} \text { Matched Pairs }\ \begin{array} { | l | c c c c c c c c | } \hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \ \hline \text { After } & 4 & 10 & 12 & 7 & 6 & 7 & 3 & 10 \ \text { Before } & 6 & 9 & 12 & 10 & 12 & 10 & 5 & 8 \ \hline \end{array} \end{array}$$ Use the 5% significance level to test the hypotheses H₀: m_d ≥ 0,H₁: m_d < 0 Test statistic = ____________________ Critical Value = ____________________ Conclusion: ___________________________ Interpretation:__________________________________________________________

Accepted Answer

The answer of The following data are drawn from a...

Question 2

A Wilcoxon rank sum test for comparing two independent samples involves two sample sizes: 8 and 6.The alternate hypothesis is m₁ ≠ m₂.Use a 0.05 significance level.What are the appropriate table values? Separate your answers with commas,for example x,y,z,etc.

Accepted Answer

The answer of A Wilcoxon rank sum test for comparing...

Question 3

Writers Eight professional food writers have been asked to rate the taste characteristics of a meat dish prepared first by flame grilling and then by charcoal grilling. After each of the dishes is prepared it is rated on a scale from 1 to 5 with 1 being best and 5 being worst. The results of the rating were: $$\begin{array} { | c | c | c | r c | } \hline \text { Writer } & \text { Flame } & \text { Charcoal } & d _ { i } & \left| d _ { i } \right| \ \hline \text { A } & 5 & 1 & 4 & 4 \ \text { B } & 4 & 2 & 2 & 2 \ \text { C } & 1 & 2 & - 1 & 1 \ \text { D } & 4 & 3 & 1 & 1 \ \text { E } & 3 & 1 & 2 & 2 \ \text { F } & 4 & 4 & 0 & 0 \ \text { G } & 4 & 5 & - 1 & 1 \ \text { H } & 2 & 3 & - 1 & 1 \ \hline \end{array}$$ -Using the 0.025 level,do these data suggest that the median interview time for auditors from this office exceeds the recommend guideline? H₀: ____________________ H₁: ____________________ Test statistic = ____________________ Critical Value = ____________________ Conclusion: __________________________________ Interpretation: _______________________________________________________

Accepted Answer

The answer of Writers
Eight professional food writers have been asked...

Question 4

Nonzero
Number of nonzero differences = 14; R+ = 16; R- = 89.
The hypothesis set is: HS1U1B10S1U1B0: m ≥ 22,HS1U1B11S1U1B0: m < 22
-Assume the population is symmetrically distributed.What is the conclusion?
Test statistic = ____________________
Critical Value = ____________________
Conclusion: _______________________

Accepted Answer

The answer of Nonzero
Number of nonzero differences = 14; R+...

Question 5

Writers
Eight professional food writers have been asked to rate the taste characteristics of a meat dish prepared first by flame grilling and then by charcoal grilling. After each of the dishes is prepared it is rated on a scale from 1 to 5 with 1 being best and 5 being worst. The results of the rating were:
$$\begin{array} { | c | c | c | r c | } 
\hline \text { Writer } & \text { Flame } & \text { Charcoal } & d _ { i } & \left| d _ { i } \right| \
\hline \text { A } & 5 & 1 & 4 & 4 \
\text { B } & 4 & 2 & 2 & 2 \
\text { C } & 1 & 2 & - 1 & 1 \
\text { D } & 4 & 3 & 1 & 1 \
\text { E } & 3 & 1 & 2 & 2 \
\text { F } & 4 & 4 & 0 & 0 \
\text { G } & 4 & 5 & - 1 & 1 \
\text { H } & 2 & 3 & - 1 & 1 \
\hline
\end{array}$$
-The Wilcoxon signed rank test for paired samples is used to test the hypotheses $$H _ { 0 } : m _ { d } = 0 \text { vs. } H _ { 1 } : m _ { d } \neq 0$$ State the appropriate conclusion,using the 0.05 significance level.

Accepted Answer

The answer of Writers
Eight professional food writers have been asked...

Question 6

Writers
Eight professional food writers have been asked to rate the taste characteristics of a meat dish prepared first by flame grilling and then by charcoal grilling. After each of the dishes is prepared it is rated on a scale from 1 to 5 with 1 being best and 5 being worst. The results of the rating were:
$$\begin{array} { | c | c | c | r c | } 
\hline \text { Writer } & \text { Flame } & \text { Charcoal } & d _ { i } & \left| d _ { i } \right| \
\hline \text { A } & 5 & 1 & 4 & 4 \
\text { B } & 4 & 2 & 2 & 2 \
\text { C } & 1 & 2 & - 1 & 1 \
\text { D } & 4 & 3 & 1 & 1 \
\text { E } & 3 & 1 & 2 & 2 \
\text { F } & 4 & 4 & 0 & 0 \
\text { G } & 4 & 5 & - 1 & 1 \
\text { H } & 2 & 3 & - 1 & 1 \
\hline
\end{array}$$
-The Wilcoxon signed rank test for paired samples is used to test the hypotheses $$H _ { 0 } : m _ { d } = 0 \text { vs. } H _ { 1 } : m _ { d } \neq 0$$ At the 0.05 significance level,what are the critical values?
Separate your answers with commas,for example x,y,z,etc.

Accepted Answer

The answer of Writers
Eight professional food writers have been asked...

Question 7

Wilcoxon
In a Wilcoxon signed rank test the following information describes the results: Number of nonzero differences = 12; R+ = 22; R- = 56.The hypothesis set is:
HS1U1B10S1U1B0: m ≤ 33
HS1U1B11S1U1B0: m > 33
-Assume the population is symmetrically distributed.State the conclusion.
Test statistic = ____________________
Critical Value = ____________________
Conclusion: ____________________________

Accepted Answer

The answer of Wilcoxon
In a Wilcoxon signed rank test the...

Question 8

Diet programs
A consumer research organization will evaluate the results of two diet programs,Take-It-Off and Melt-Away.Persons are randomly sampled from each of the programs and their weight loss results follow. $$\begin{array} { | c | c | } 
\hline \text { Take-It- Off } & \text { Melt-Away } \
\hline 150 & 130 \
75 & 68 \
40 & 20 \
68 & 54 \
30 & 27 \
& 98 \
\hline
\end{array}$$
-The test question is: Do the data indicate that the two programs are equally effective? In testing the hypotheses,the significance level is 0.10.What are the appropriate critical values?
Separate your answers with commas,for example x,y,z,etc.

Accepted Answer

The answer of Diet programs
A consumer research organization will evaluate...

Question 9

Diet programs A consumer research organization will evaluate the results of two diet programs,Take-It-Off and Melt-Away.Persons are randomly sampled from each of the programs and their weight loss results follow. $$\begin{array} { | c | c | } \hline \text { Take-It- Off } & \text { Melt-Away } \ \hline 150 & 130 \ 75 & 68 \ 40 & 20 \ 68 & 54 \ 30 & 27 \ & 98 \ \hline \end{array}$$ -The test question is: Do the data indicate that the two programs are equally effective? State the null and alternative hypotheses. H₀: ____________________ H₁: ____________________

Accepted Answer

The answer of Diet programs
A consumer research organization will evaluate...

Question 10

Apartments Residents of two different high rise apartment units may or may not have the same consumer indebtedness.A sample from each results in the following outstanding debt amounts: $$\begin{array} { | c | c | } \hline \text { East } & \text { West } \ \hline 14340 & 12832 \ 13160 & 5038 \ 9746 & 10146 \ 16042 & 10651 \ 17566 & 15394 \ 7986 & \ \hline \end{array}$$ -The test question is: Do residents of the two apartment units have similar debt medians? State the null and alternative hypotheses. H₀: ____________________ H₁: ____________________

Accepted Answer

The answer of Apartments
Residents of two different high rise apartment...

Question 11

Nonzero
Number of nonzero differences = 14; R+ = 16; R- = 89.
The hypothesis set is: HS1U1B10S1U1B0: m ≥ 22,HS1U1B11S1U1B0: m < 22
-Assume the population is symmetrically distributed.At a 0.05 significance level,state the appropriate decision rule.

Accepted Answer

The answer of Nonzero
Number of nonzero differences = 14; R+...

Question 12

Wilcoxon
In a Wilcoxon signed rank test the following information describes the results: Number of nonzero differences = 12; R+ = 22; R- = 56.The hypothesis set is:
HS1U1B10S1U1B0: m ≤ 33
HS1U1B11S1U1B0: m > 33
-Assume the population is symmetrically distributed.At a 0.05 significance level,what is the appropriate decision rule?

Accepted Answer

The answer of Wilcoxon
In a Wilcoxon signed rank test the...

Question 13

The significance level for a Wilcoxon signed rank test for one sample is 0.01.The alternative hypothesis is m ≠ m₀,and the sample size is 14.What is/are the appropriate critical value(s)? Separate your answers with commas,for example x,y,z,etc.

Accepted Answer

The answer of The significance level for a Wilcoxon signed...

Question 14

Apartments
Residents of two different high rise apartment units may or may not have the same consumer indebtedness.A sample from each results in the following outstanding debt amounts: $$\begin{array} { | c | c | } 
\hline \text { East } & \text { West } \
\hline 14340 & 12832 \
13160 & 5038 \
9746 & 10146 \
16042 & 10651 \
17566 & 15394 \
7986 & \
\hline
\end{array}$$
-The test question is: Do residents of the two apartment units have similar debt medians? In testing the hypotheses,the significance level is 0.05.What are the appropriate critical values?
Separate your answers with commas,for example x,y,z,etc.

Accepted Answer

The answer of Apartments
Residents of two different high rise apartment...

Question 15

Writers
Eight professional food writers have been asked to rate the taste characteristics of a meat dish prepared first by flame grilling and then by charcoal grilling. After each of the dishes is prepared it is rated on a scale from 1 to 5 with 1 being best and 5 being worst. The results of the rating were:
$$\begin{array} { | c | c | c | r c | } 
\hline \text { Writer } & \text { Flame } & \text { Charcoal } & d _ { i } & \left| d _ { i } \right| \
\hline \text { A } & 5 & 1 & 4 & 4 \
\text { B } & 4 & 2 & 2 & 2 \
\text { C } & 1 & 2 & - 1 & 1 \
\text { D } & 4 & 3 & 1 & 1 \
\text { E } & 3 & 1 & 2 & 2 \
\text { F } & 4 & 4 & 0 & 0 \
\text { G } & 4 & 5 & - 1 & 1 \
\text { H } & 2 & 3 & - 1 & 1 \
\hline
\end{array}$$
-Explain how to use the p-value to reach a conclusion when testing at the 0.025 level of significance.

Accepted Answer

The answer of Writers
Eight professional food writers have been asked...

Question 16

In testing the hypotheses H₀: m_d = 0,H₁: m_d ≠ 0,data are drawn from a matched pairs experiment,and the following statistics are calculated: n = number of nonzero differences = 40; R+ = 238; R- = 582.Assume that the 5% level of significance is used.What is the conclusion?

Accepted Answer

The answer of In testing the hypotheses H₀: m_d =...

Question 17

Apartments
Residents of two different high rise apartment units may or may not have the same consumer indebtedness.A sample from each results in the following outstanding debt amounts: $$\begin{array} { | c | c | } 
\hline \text { East } & \text { West } \
\hline 14340 & 12832 \
13160 & 5038 \
9746 & 10146 \
16042 & 10651 \
17566 & 15394 \
7986 & \
\hline
\end{array}$$
-The test question is: Do residents of the two apartment units have similar debt medians? State the appropriate conclusion employing a 0.05 significance level.

Accepted Answer

The answer of Apartments
Residents of two different high rise apartment...

Question 18

Diet programs
A consumer research organization will evaluate the results of two diet programs,Take-It-Off and Melt-Away.Persons are randomly sampled from each of the programs and their weight loss results follow. $$\begin{array} { | c | c | } 
\hline \text { Take-It- Off } & \text { Melt-Away } \
\hline 150 & 130 \
75 & 68 \
40 & 20 \
68 & 54 \
30 & 27 \
& 98 \
\hline
\end{array}$$
-The test question is: Do the data indicate that the two programs are equally effective? State the appropriate conclusion employing a 0.05 significance level.

Accepted Answer

The answer of Diet programs
A consumer research organization will evaluate...

Question 19

In testing the hypotheses H₀: m_d = 0,H₁: m_d ≠ 0,data are drawn from a matched pairs experiment,and the following statistics are calculated: n = number of nonzero differences = 40; R+ = 238; R- = 582.Assume that the 5% level of significance is used.Which test is used for testing the hypotheses above?

Accepted Answer

The answer of In testing the hypotheses H₀: m_d =...

Question 20

The following data represent the test scores of eight students on a statistics test before and after attending extra help sessions for the test:
 $$\begin{array} { | l | c | c | } 
\hline \text { Student } & \text { Before } & \text { After } \
\hline \text { Abby } & 82 & 90 \
\hline \text { Brenda } & 75 & 86 \
\hline \text { Camen } & 90 & 90 \
\hline \text { David } & 68 & 62 \
\hline \text { Edward } & 87 & 89 \
\hline \text { Fraris } & 73 & 75 \
\hline \text { Gill } & 81 & 78 \
\hline \text { Heidi } & 92 & 98 \
\hline
\end{array}$$
 Use the Wilcoxon signed rank test to determine at the 5% significance level whether the extra help sessions have been effective.

Accepted Answer

The answer of The following data represent the test scores...

Quiz 14: Nonparametric Methods

A Wilcoxon rank sum test for comparing two independent samples involves two sample sizes: 8 and 6.The alternate hypothesis is m₁ ≠ m₂.Use a 0.05 significance level.What are the appropriate table values? Separate your answers with commas,for example x,y,z,etc.

Nonzero Number of nonzero differences = 14; R+ = 16; R- = 89. The hypothesis set is: H₀: m ≥ 22,H₁: m < 22 -Assume the population is symmetrically distributed.What is the conclusion? Test statistic = Critical Value = Conclusion: ___

Nonzero Number of nonzero differences = 14; R+ = 16; R- = 89. The hypothesis set is: H₀: m ≥ 22,H₁: m < 22 -Assume the population is symmetrically distributed.At a 0.05 significance level,state the appropriate decision rule.

The significance level for a Wilcoxon signed rank test for one sample is 0.01.The alternative hypothesis is m ≠ m₀,and the sample size is 14.What is/are the appropriate critical value(s)? Separate your answers with commas,for example x,y,z,etc.

In testing the hypotheses H₀: m_d = 0,H₁: m_d ≠ 0,data are drawn from a matched pairs experiment,and the following statistics are calculated: n = number of nonzero differences = 40; R+ = 238; R- = 582.Assume that the 5% level of significance is used.What is the conclusion?

Quiz 14: Nonparametric Methods

A Wilcoxon rank sum test for comparing two independent samples involves two sample sizes: 8 and 6.The alternate hypothesis is m1 ≠ m2.Use a 0.05 significance level.What are the appropriate table values? Separate your answers with commas,for example x,y,z,etc.

Nonzero Number of nonzero differences = 14; R+ = 16; R- = 89. The hypothesis set is: H0: m ≥ 22,H1: m < 22 -Assume the population is symmetrically distributed.What is the conclusion? Test statistic = ____________________ Critical Value = ____________________ Conclusion: _______________________

Nonzero Number of nonzero differences = 14; R+ = 16; R- = 89. The hypothesis set is: H0: m ≥ 22,H1: m < 22 -Assume the population is symmetrically distributed.At a 0.05 significance level,state the appropriate decision rule.

The significance level for a Wilcoxon signed rank test for one sample is 0.01.The alternative hypothesis is m ≠ m0,and the sample size is 14.What is/are the appropriate critical value(s)? Separate your answers with commas,for example x,y,z,etc.

In testing the hypotheses H0: md = 0,H1: md ≠ 0,data are drawn from a matched pairs experiment,and the following statistics are calculated: n = number of nonzero differences = 40; R+ = 238; R- = 582.Assume that the 5% level of significance is used.What is the conclusion?

A Wilcoxon rank sum test for comparing two independent samples involves two sample sizes: 8 and 6.The alternate hypothesis is m₁ ≠ m₂.Use a 0.05 significance level.What are the appropriate table values? Separate your answers with commas,for example x,y,z,etc.

Nonzero Number of nonzero differences = 14; R+ = 16; R- = 89. The hypothesis set is: H₀: m ≥ 22,H₁: m < 22 -Assume the population is symmetrically distributed.What is the conclusion? Test statistic = Critical Value = Conclusion: ___

Nonzero Number of nonzero differences = 14; R+ = 16; R- = 89. The hypothesis set is: H₀: m ≥ 22,H₁: m < 22 -Assume the population is symmetrically distributed.At a 0.05 significance level,state the appropriate decision rule.

The significance level for a Wilcoxon signed rank test for one sample is 0.01.The alternative hypothesis is m ≠ m₀,and the sample size is 14.What is/are the appropriate critical value(s)? Separate your answers with commas,for example x,y,z,etc.

In testing the hypotheses H₀: m_d = 0,H₁: m_d ≠ 0,data are drawn from a matched pairs experiment,and the following statistics are calculated: n = number of nonzero differences = 40; R+ = 238; R- = 582.Assume that the 5% level of significance is used.What is the conclusion?