Question 1

The nonparametric counterpart to the Pearson correlation coefficient is the ____________________ correlation coefficient.

Accepted Answer

Spearman r

Question 2

When the sample sizes from both populations are larger than ____________________,the Wilcoxon rank sum statistic has an approximate normal distribution.

Accepted Answer

The answer of When the sample sizes from both populations...

Question 3

The general manager of a chain of Pet stores believes that experience is the most important factor in determining the level of success of a salesperson.To examine this belief she records last month's sales (in $1,000s)and the years of experience of 10 randomly selected salespeople.These data are listed below.
 $$\begin{array} { | c | c | c | } 
\hline \text { Salesperson } & \text { Years af Experience } & \text { Sales } \
\hline 1 & 0 & 7 \
2 & 2 & 9 \
3 & 10 & 20 \
4 & 3 & 15 \
5 & 8 & 18 \
6 & 5 & 14 \
7 & 12 & 20 \
8 & 7 & 17 \
9 & 20 & 30 \
10 & 15 & 25 \
\hline
\end{array}$$ Can we conclude at the 5% significance level that experience of the salesperson and sales are linearly related? (Note we cannot assume either variable has a normal distribution. )

Accepted Answer

H₀: @#LAT-DLM&_s = 0 vs.H

Question 4

Campaign Commercials
It is important to sponsors of television shows that viewers remember as much as possible about the commercials.The campaign manager for a local politician is trying to decide which of two commercials to use on a weekly half-hour comedy.To help make a decision she decides to have 12 individuals watch both commercials.After each viewing,each respondent is given a quiz consisting of 10 questions.The number of correct responses is recorded and listed below.Assume that the quiz results are not normally distributed.
 $$\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\quad\text { Quiz scoras }\
\begin{array} { | c | c c | } 
\hline \text { Respondent } & \text { Commercial 1 } & \text { Commercial 2 } \
\hline 1 & 7 & 9 \
2 & 8 & 9 \
3 & 6 & 6 \
4 & 10 & 10 \
5 & 5 & 4 \
6 & 7 & 9 \
7 & 5 & 7 \
8 & 4 & 5 \
9 & 6 & 8 \
10 & 7 & 9 \
11 & 5 & 6 \
12 & 8 & 10 \
\hline
\end{array}
\end{array}$$
-{Campaign Commercials Narrative} Which test is appropriate for this situation?

Accepted Answer

The answer of Campaign Commercials
It is important to sponsors of...

Question 5

The Wilcoxon rank sum test requires that the samples from the two populations be ____________________.

Accepted Answer

The answer of The Wilcoxon rank sum test requires that...

Question 6

Song Ratings
A music critic wanted to determine whether or not music listeners of different age groups evaluate a song differently.With this objective,he commissioned a survey that asked people their ratings of the most popular songs.The rating categories were: 1 = terrible,2 = fair,3 = good,and 4 = excellent.Each respondent was also asked to categorize his or her age as either: 1 = teenager,2 = young adult (20-34),3 = middle age (35-50),and 4 = over 50.
The results are shown below.
 $$\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Song Ratings }\
\begin{array} { | c | c | c | c | } 
\hline \text { Teenager } & \text { Young Adult } & \text { Middle Age } & \text { Senior } \
\hline 3 & 2 & 3 & 3 \
4 & 3 & 2 & 4 \
3 & 3 & 1 & 4 \
3 & 2 & 2 & 3 \
3 & 2 & 2 & 3 \
4 & 1 & 3 & 4 \
2 & 3 & 1 & 4 \
4 & 2 & 4 & 3 \
\hline
\end{array}
\end{array}$$
-{Song Ratings Narrative} Does this data provide sufficient evidence to infer at the 5% significance level that there are differences in ratings among the different age categories?

Accepted Answer

H₀: The locations of all three population

Question 7

A nonparametric method to compare two populations,when the samples are matched pairs and the data are ordinal,is the:

Accepted Answer

A)  sign test. 
B)  matched pairs t-test 
C)  Wilcoxon rank sum test. 
D)  Wilcoxon signed rank sum test.. 
A)  sign test. 
B)  matched pairs t-test 
C)  Wilcoxon rank sum test. 
D)  Wilcoxon signed rank sum test..

Question 8

The sign test is employed to compare two populations when the experimental design is matched pairs,and the data are ordinal but not normally distributed.

Accepted Answer

A) True 
 B)False

Question 9

The Friedman test compares the locations of two or more populations where the data are generated from a randomized ____________________ experiment.

Accepted Answer

The answer of The Friedman test compares the locations of...

Question 10

The sign test is always to be preferred to the t-test.

Accepted Answer

A) True 
 B)False

Question 11

Statistical methods that require few assumptions,if any,about the population distribution are known as parametric techniques.

Accepted Answer

A) True 
 B)False

Question 12

In a Friedman test for comparing four populations,provided that there as eight blocks,the test statistic is calculated as Fr = 10.98.If the test is conducted at the 5% significance level,the conclusion and p-value will be:

Accepted Answer

A)  reject the null hypothesis,and 0.01  0.025. 
C)  do not reject the null hypothesis,and 0.025  0.05. 
A)  reject the null hypothesis,and 0.01  0.025. 
C)  do not reject the null hypothesis,and 0.025  0.05.

Question 13

A two independent sample t-test corresponds to a Wilcoxon signed rank sum test for paired samples.

Accepted Answer

A) True 
 B)False

Question 14

When the sample sizes from both populations are larger than 10,the Wilcoxon rank sum statistic has an approximate ____________________ distribution.

Accepted Answer

The answer of When the sample sizes from both populations...

Question 15

If all the x values and all the y values are positive numbers,then $\rho$ must be > 0.

Accepted Answer

A) True 
 B)False

Question 16

Which of the following distributions approximate Kruskal-Wallis test statistic H when the problem objective is to compare k populations (k > 2)where the sample sizes are greater than or equal to 5?

Accepted Answer

A)  normal distribution 
B)  chi-squared distribution 
C)  Student t-distribution 
D)  None of these choices. 
A)  normal distribution 
B)  chi-squared distribution 
C)  Student t-distribution 
D)  None of these choices.

Question 17

In the Wilcoxon rank sum test statistic,let T represent the total rankings of sample 1 amongst all rankings.If T is small,this suggests that the location of population 1 is to the ____________________ of the location of population 2.

Accepted Answer

The answer of In the Wilcoxon rank sum test statistic,let...

Question 18

We can use the Friedman test to determine whether a difference exists between two populations.However,if we want to determine whether one population location is larger than another,we must use the sign test.

Accepted Answer

A) True 
 B)False

Question 19

The Wilcoxon rank sum test is used to compare two populations when the samples are independent and the data are either ordinal or interval but not normally distributed.

Accepted Answer

A) True 
 B)False

Question 20

Consider the following data set: 2.2,2.3,2.3,2.5,2.6,2.7,2.8,2.8,2.8,2.9,3.1,3.2,and 3.5.The rank assigned to the three observations of value 2.8 is:

Accepted Answer

A)  6 
B)  7 
C)  8 
D)  9 
A)  6 
B)  7 
C)  8 
D)  9

Exam 19: Nonparametric Statistics

The nonparametric counterpart to the Pearson correlation coefficient is the ____________________ correlation coefficient.

When the sample sizes from both populations are larger than ____________________,the Wilcoxon rank sum statistic has an approximate normal distribution.

The Wilcoxon rank sum test requires that the samples from the two populations be ____________________.

A nonparametric method to compare two populations,when the samples are matched pairs and the data are ordinal,is the:

The sign test is employed to compare two populations when the experimental design is matched pairs,and the data are ordinal but not normally distributed.

The Friedman test compares the locations of two or more populations where the data are generated from a randomized ____________________ experiment.

The sign test is always to be preferred to the t-test.

Statistical methods that require few assumptions,if any,about the population distribution are known as parametric techniques.

In a Friedman test for comparing four populations,provided that there as eight blocks,the test statistic is calculated as Fr = 10.98.If the test is conducted at the 5% significance level,the conclusion and p-value will be:

A two independent sample t-test corresponds to a Wilcoxon signed rank sum test for paired samples.

When the sample sizes from both populations are larger than 10,the Wilcoxon rank sum statistic has an approximate ____________________ distribution.

If all the x values and all the y values are positive numbers,then ρ\rhoρ must be > 0.

Which of the following distributions approximate Kruskal-Wallis test statistic H when the problem objective is to compare k populations (k > 2)where the sample sizes are greater than or equal to 5?

In the Wilcoxon rank sum test statistic,let T represent the total rankings of sample 1 amongst all rankings.If T is small,this suggests that the location of population 1 is to the ____________________ of the location of population 2.

We can use the Friedman test to determine whether a difference exists between two populations.However,if we want to determine whether one population location is larger than another,we must use the sign test.

The Wilcoxon rank sum test is used to compare two populations when the samples are independent and the data are either ordinal or interval but not normally distributed.

Consider the following data set: 2.2,2.3,2.3,2.5,2.6,2.7,2.8,2.8,2.8,2.9,3.1,3.2,and 3.5.The rank assigned to the three observations of value 2.8 is:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

In a Friedman test for comparing four populations,provided that there as eight blocks,the test statistic is calculated as F_r = 10.98.If the test is conducted at the 5% significance level,the conclusion and p-value will be:

If all the x values and all the y values are positive numbers,then $\rho$ must be > 0.