Question 1

The z-test approximation to the Wilcoxon signed rank test is used whenever the number of nonzero differences is at least ____________________.

Accepted Answer

The answer of The z-test approximation to the Wilcoxon signed...

Question 2

In a Wilcoxon rank sum test n1 = 12, n2 = 15 and the sum of R1 = 108. The value of the test statistic for the normal approximation is:

Accepted Answer

A) -1.23. 
B) -2.93. 
C) -108. 
D) 108. 
E) 15.

Question 3

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 4

Treatments 
$$\begin{array}{l}
\text { Treatments }\
\begin{array} { | c | c c c | } 
\hline \text { Blocks } & \text { 1 } & \text { 2 } & \text { 3 } \
\hline 1 & 12 & 20 & 16 \
2 & 13 & 18 & 14 \
3 & 13 & 20 & 12 \
4 & 15 & 16 & 18 \
5 & 8 & 10 & 10 \
6 & 10 & 17 & 16 \
\hline
\end{array}
\end{array}$$ No assumptions are made about the population distributions or variances of the above sample data.The test question is: Are the medians of the treatments equal?
-No assumptions are made about the population distributions or variances of the above sample data.The test question is: Are the medians of the treatments equal? What is the rank of the value in the third treatment and fourth block?

Accepted Answer

The answer of Treatments 
\[\begin{array}{l}
\text { Treatments }\
\begin{array} { |...

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:
$$\begin{array} { | c | c | c | c c | } 
\hline \text { Writer } & \text { Flame } & \text { Charcoal } & d _ { i } & \left| d _ { i } \right| \
\hline \text { A } & 5 & 1 & 4 & 4 \
\text { B } & 4 & 2 & 2 & 2 \
\text { C } & 1 & 2 & - 1 & 1 \
\text { D } & 4 & 3 & 1 & 1 \
\text { E } & 3 & 1 & 2 & 2 \
\text { F } & 4 & 4 & 0 & 0 \
\text { G } & 4 & 5 & - 1 & 1 \
\text { H } & 2 & 3 & - 1 & 1 \
\hline
\end{array}$$
-The Wilcoxon signed rank test for paired samples is used to test the hypotheses $$H _ { 0 } : m _ { d } = 0 \text { vs. } H _ { 1 } : m _ { d } \neq 0$$  What is the calculated test statistic,W?

Accepted Answer

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

Question 6

The ____________________ test is the nonparametric counterpart to the randomized block ANOVA design.

Accepted Answer

The answer of The ____________________ test is the nonparametric counterpart...

Question 7

The chapter lists four major advantages to nonparametric testing.What are they?

Accepted Answer

The answer of The chapter lists four major advantages to...

Question 8

The following statistics are drawn from two independent samples: R₁ = 800,n₁ = 25,R₂ = 1100 and n₂ = 28.Test at the 5% significance level to determine whether the two population medians differ.

Accepted Answer

The answer of The following statistics are drawn from two...

Question 9

Compared to a parametric test,Nonparametric tests use the information in the data more efficiently.

Accepted Answer

A) True 
 B)False

Question 10

Nonparametric tests are useful when data are of the nominal or ordinal scale of measurement.

Accepted Answer

A) True 
 B)False

Question 11

IRS
As a guideline,a local Internal Revenue Service office recommends that auditors try to spend 16 minutes or less with taxpayers who are called for audit interviews.In a recent random sample of 22 interviews,the interview times were as shown below: $$\begin{array} { l l l l l l l l l l l } 
13 & 21 & 21 & 25 & 25 & 21 & 14 & 14 & 24 & 23 & 11 \
24 & 19 & 18 & 17 & 12 & 13 & 17 & 16 & 25 & 20 & 13
\end{array}$$
Using the appropriate statistical table,what is the most accurate statement we can make about the p-value test?
p-value = ____________________

Accepted Answer

The answer of IRS
As a guideline,a local Internal Revenue Service...

Question 12

Treatments 
$$\begin{array}{l}
\text { Treatments }\
\begin{array} { | c | c c c | } 
\hline \text { Blocks } & \text { 1 } & \text { 2 } & \text { 3 } \
\hline 1 & 12 & 20 & 16 \
2 & 13 & 18 & 14 \
3 & 13 & 20 & 12 \
4 & 15 & 16 & 18 \
5 & 8 & 10 & 10 \
6 & 10 & 17 & 16 \
\hline
\end{array}
\end{array}$$ No assumptions are made about the population distributions or variances of the above sample data.The test question is: Are the medians of the treatments equal?
-On a multiple-choice exam consisting of ten questions with A through E as choices,the correct answers were: A A D A C B A D C B.Use these data to test the hypothesis that the answer sequence is random.What is the expected number of runs?

Accepted Answer

The answer of Treatments 
\[\begin{array}{l}
\text { Treatments }\
\begin{array} { |...

Question 13

The nonparametric counterpart of the parametric one-way analysis of variance F-test is:

Accepted Answer

A)  Kruskal-Wallis test. 
B)  Friedman test. 
C)  Wilcoxon rank sum test. 
D)  Wilcoxon signed rank test. 
E)  Sign test for comparing paired samples.

Question 14

FAA The FAA recorded the number of complaints per month for three airlines.The data were: $$\begin{array} { | c | c | c | } \hline \text { Airline } \boldsymbol { A } & \text { Airline } \boldsymbol { B } & \text { Airline } \boldsymbol { C } \ \hline 3248 & 2462 & 1544 \ 2876 & 2838 & 2381 \ 2943 & 3042 & 2279 \ 3486 & 3211 & 2163 \ 2777 & 1968 & 1459 \ \hline \end{array}$$ -The test question is: Do the three airlines have the same median number of complaints? State the null and alternative hypotheses. H₀: _____________________________ H₁: _____________________________

Accepted Answer

The answer of FAA
The FAA recorded the number of complaints...

Question 15

The Kruskal-Wallis test requires that the scale of measurement of the data must be at least interval or ratio,and the samples are assumed to be randomly selected from their respective populations.

Accepted Answer

A) True 
 B)False

Question 16

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 17

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 18

The nonparametric counterpart to the randomized block design of the analysis of variance is:

Accepted Answer

A)  Kruskal-Wallis test. 
B)  Friedman test. 
C)  Wilcoxon rank sum test. 
D)  Wilcoxon signed rank test. 
E)  Sign test for comparing paired samples.

Question 19

Airline
Ten business people who fly frequently were asked to rank four airlines in terms of the quality of service.The people assigned scores using a 5-point scale where: 1 = bad,2 = poor,3 = average,4 = good,and 5 = excellent.The results are shown below: $$\begin{array}{l}
\text { Airline }\
\begin{array} { | c | c c c c | } 
\hline \text { Person } & \text { A } & \text { B } & \text { C } & \text { D } \
\hline 1 & 1 & 3 & 5 & 2 \
2 & 5 & 4 & 2 & 1 \
3 & 2 & 5 & 3 & 2 \
4 & 4 & 2 & 4 & 1 \
5 & 3 & 3 & 1 & 5 \
6 & 4 & 4 & 5 & 3 \
7 & 3 & 4 & 1 & 4 \
8 & 2 & 5 & 2 & 1 \
9 & 5 & 3 & 4 & 2 \
10 & 5 & 5 & 4 & 3 \
\hline
\end{array}
\end{array}$$
-Which test is appropriate if you want to compare the quality of service of the four airlines?

Accepted Answer

The answer of Airline
Ten business people who fly frequently were...

Question 20

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...

Exam 14: Nonparametric Methods

The z-test approximation to the Wilcoxon signed rank test is used whenever the number of nonzero differences is at least ____________________.

In a Wilcoxon rank sum test n₁ = 12, n₂ = 15 and the sum of R₁ = 108. The value of the test statistic for the normal approximation is:

The ____________________ test is the nonparametric counterpart to the randomized block ANOVA design.

The chapter lists four major advantages to nonparametric testing.What are they?

The following statistics are drawn from two independent samples: R₁ = 800,n₁ = 25,R₂ = 1100 and n₂ = 28.Test at the 5% significance level to determine whether the two population medians differ.

Compared to a parametric test,Nonparametric tests use the information in the data more efficiently.

Nonparametric tests are useful when data are of the nominal or ordinal scale of measurement.

The nonparametric counterpart of the parametric one-way analysis of variance F-test is:

The Kruskal-Wallis test requires that the scale of measurement of the data must be at least interval or ratio,and the samples are assumed to be randomly selected from their respective populations.

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.

The nonparametric counterpart to the randomized block design of the analysis of variance is:

Exam 14: Nonparametric Methods

The z-test approximation to the Wilcoxon signed rank test is used whenever the number of nonzero differences is at least ____________________.

In a Wilcoxon rank sum test n1 = 12, n2 = 15 and the sum of R1 = 108. The value of the test statistic for the normal approximation is:

The ____________________ test is the nonparametric counterpart to the randomized block ANOVA design.

The chapter lists four major advantages to nonparametric testing.What are they?

The following statistics are drawn from two independent samples: R1 = 800,n1 = 25,R2 = 1100 and n2 = 28.Test at the 5% significance level to determine whether the two population medians differ.

Compared to a parametric test,Nonparametric tests use the information in the data more efficiently.

Nonparametric tests are useful when data are of the nominal or ordinal scale of measurement.

The nonparametric counterpart of the parametric one-way analysis of variance F-test is:

The Kruskal-Wallis test requires that the scale of measurement of the data must be at least interval or ratio,and the samples are assumed to be randomly selected from their respective populations.

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.

The nonparametric counterpart to the randomized block design of the analysis of variance is:

In a Wilcoxon rank sum test n₁ = 12, n₂ = 15 and the sum of R₁ = 108. The value of the test statistic for the normal approximation is:

The following statistics are drawn from two independent samples: R₁ = 800,n₁ = 25,R₂ = 1100 and n₂ = 28.Test at the 5% significance level to determine whether the two population medians differ.

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.