Question 1

The sign test is a test about a population median that is valid for any sample size and population shape.

Accepted Answer

A) True 
 B)False  True

Question 2

A professional organization is attempting to determine whether salaries of hospital CFOs differ by geographical region.Five hospital CFOs were randomly selected from each of the following four regions of the United States: East,Midwest,South,and West.Each CFO was then asked his or her annual salary.The salary distributions were highly skewed.The table below summarizes the results of the Kruskal-Wallis test obtained from MegaStat/Excel. $$\begin{array}{l}
\text { Kruskal-Wallis Test }\
\begin{array} { c c c } 
\hline \text { Median } & n & \begin{array} { c } 
\text { Avg. } \
\text { Rank }
\end{array} \
\hline 59.00 & 5 & 17.20 \text { Group 1 } \
55.30 & 5 & 10.40 \text { Group 2 } \
54.10 & 5 & 9.10 \text { Group } 3 \
53.20 & 5 & 5.30 \text { Group } 4 \
\hline 55.70 & 20 & \text { Total } \
\hline & & 10.565 \mathrm { H } \text { (corrected for ties) } \
&&3 \text { df. } \
& & .0143 \text { p-value }
\end{array}
\end{array}$$
At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis?
H0: The four populations under consideration have identical locations.

Accepted Answer

A) We reject H0 and conclude that there is very strong evidence that the median hospital CFO salaries differ among all four regions in the United States. 
B) We failed to reject H0 and conclude that there is not sufficient evidence that the median hospital CFO salaries differ among any of the four regions of the United States. 
C) We do not reject H0 and conclude that there is only adequate evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
D) We reject H0 and conclude that there is strong evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
E) We do not reject H0 and conclude that all 4 populations under consideration are identical in their locations. 
A) We reject H0 and conclude that there is very strong evidence that the median hospital CFO salaries differ among all four regions in the United States. 
B) We failed to reject H0 and conclude that there is not sufficient evidence that the median hospital CFO salaries differ among any of the four regions of the United States. 
C) We do not reject H0 and conclude that there is only adequate evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
D) We reject H0 and conclude that there is strong evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
E) We do not reject H0 and conclude that all 4 populations under consideration are identical in their locations. D

Question 3

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

Accepted Answer

A) True 
 B)False  False

Question 4

Two NFL scouts are in the process of recruiting 7 college senior football players (receivers).After a careful review and evaluation,both scouts ranked the seven receivers in terms of their professional career prospects.If we want to determine whether the two scouts have similar opinions about the professional football career prospects of the seven players,which one of the following nonparametric tests would we choose?

Accepted Answer

A) Wilcoxon signed ranks test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskal-Wallis test 
E) Spearman's rank correlation test 
A) Wilcoxon signed ranks test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskal-Wallis test 
E) Spearman's rank correlation test

Question 5

In a local ice skating contest,there were 2 judges and 15 contestants.Each judge was asked to rate each contestant on a 7-point scale.The most successful candidates received a rating value of 7,while the least successful candidates received a rating value of 1.It appears that the bivariate normal probability distribution assumption was severely violated.The City Council wants to know whether the judges have similar opinions in rating ice skating competitors.At a significance level of .01,the rejection point condition for the hypothesis test is:

Accepted Answer

A) Reject H0 if rs > .457. 
B) Reject H0 if rs > .623. 
C) Reject H0 if rs > .441. 
D) Reject H0 if rs > .646. 
E) Reject H0 if rs > .689. 
A) Reject H0 if rs > .457. 
B) Reject H0 if rs > .623. 
C) Reject H0 if rs > .441. 
D) Reject H0 if rs > .646. 
E) Reject H0 if rs > .689.

Question 6

Assume that the following data set is not normally distributed.
(21,18,4,9,14,16,17,12,15,8,7,5)
If Ha: Md < 6,then the value of S is:

Accepted Answer

A) 0. 
B) 1. 
C) 2. 
D) 3. 
E) 4. 
A) 0. 
B) 1. 
C) 2. 
D) 3. 
E) 4.

Question 7

Two NFL scouts are in the process of recruiting 7 college senior football players (receivers).After a careful review and evaluation,both scouts ranked the seven receivers in terms of their professional career prospects.If we want to determine whether the two scouts have similar opinions about the professional football career prospects of the seven players,state the null hypothesis.

Accepted Answer

A) H0: ρs ≠ 0 
B) H0: ρs ≥ 0 
C) H0: ρs ≤ 0 
D) H0: ρs = 0 
A) H0: ρs ≠ 0 
B) H0: ρs ≥ 0 
C) H0: ρs ≤ 0 
D) H0: ρs = 0

Question 8

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

Accepted Answer

A) True 
 B)False

Question 9

The Wilcoxon signed ranks test is a nonparametric test.

Accepted Answer

A) True 
 B)False

Question 10

The Wilcoxon rank sum test is the nonparametric counterpart of the:

Accepted Answer

A) Large sample test about a single population mean. 
B) Two independent samples t test. 
C) F test. 
D) Paired difference t test. 
E) F test for equality of population variances. 
A) Large sample test about a single population mean. 
B) Two independent samples t test. 
C) F test. 
D) Paired difference t test. 
E) F test for equality of population variances.

Question 11

Assume that the following data set is not normally distributed.
(21,18,4,9,14,16,17,12,15,8,7,5)
If Ha: Md ≠ 7,then the p value is:

Accepted Answer

A) .0161 
B) .0029 
C) .1458 
D) .0729 
E) .0537 
A) .0161 
B) .0029 
C) .1458 
D) .0729 
E) .0537

Question 12

An e-business/e-commerce information technology consulting company wants to compare the effectiveness of three programming languages that its programmers use.Currently each programming language is used by approximately 1/3 of the programmers employed by the company.The director of the programming division randomly selected 5 programmers from the users of each of the three programming languages and assigned the same simple programming task to each programmer.It is known that all three populations have highly skewed distributions with extreme outliers.Which one of the following nonparametric tests is appropriate for this problem?

Accepted Answer

A) Wilcoxon signed ranks test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskal-Wallis test 
E) Spearman's rank correlation test 
A) Wilcoxon signed ranks test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskal-Wallis test 
E) Spearman's rank correlation test

Question 13

The signed ranks test is the nonparametric counterpart of the:

Accepted Answer

A) Small sample t test about a single population mean. 
B) Two independent samples t test. 
C) One way ANOVA F test. 
D) Paired difference t test. 
E) F test for equality of population variances. 
A) Small sample t test about a single population mean. 
B) Two independent samples t test. 
C) One way ANOVA F test. 
D) Paired difference t test. 
E) F test for equality of population variances.

Question 14

A ___________ test is a statistical test that can be used without assuming that the sampled population(s)has/have a particular type of probability distribution.

Accepted Answer

A) Wilcoxon rank sum 
B) Nonparametric 
C) Linear regression 
D) Correlation 
A) Wilcoxon rank sum 
B) Nonparametric 
C) Linear regression 
D) Correlation

Question 15

When a large sample is taken,the _______________ approximation to the binomial distribution can be used to implement the sign test.

Accepted Answer

A) chi-square 
B) normal 
C) correlation coefficient 
D) rank sum 
A) chi-square 
B) normal 
C) correlation coefficient 
D) rank sum

Question 16

A cholesterol test was given to 10 heart patients with high cholesterol levels.The same 10 heart patients are then given a new cholesterol-reducing drug for six months.Before the patients begin taking the drug,they are told to maintain their current diets and eating habits so that the effect of the drug can be more effectively determined.After taking the drug for six months,the same patients are given a cholesterol test again.The pharmaceutical company that manufactures the drug wants to determine if the drug is helpful in reducing cholesterol levels.The cholesterol level readings are not normally distributed.State the alternative hypothesis for this problem.

Accepted Answer

A) The probability distribution of cholesterol readings of patients before and after taking the drug for six months is identical. 
B) The probability distribution of cholesterol readings of patients after taking the drug has shifted to the left of the probability distribution of cholesterol readings of patients before taking the drug. 
C) The probability distribution of cholesterol readings of patients after taking the drug has shifted to the right of the probability distribution of cholesterol readings of patients before taking the drug. 
D) The probability distribution of cholesterol readings of patients after taking the drug has shifted to the right or left of the probability distribution of cholesterol readings of patients before taking the drug. 
A) The probability distribution of cholesterol readings of patients before and after taking the drug for six months is identical. 
B) The probability distribution of cholesterol readings of patients after taking the drug has shifted to the left of the probability distribution of cholesterol readings of patients before taking the drug. 
C) The probability distribution of cholesterol readings of patients after taking the drug has shifted to the right of the probability distribution of cholesterol readings of patients before taking the drug. 
D) The probability distribution of cholesterol readings of patients after taking the drug has shifted to the right or left of the probability distribution of cholesterol readings of patients before taking the drug.

Question 17

Two coffee-vending machines are studied to determine whether they distribute the same amounts.Samples are taken and the number of ounces is recorded for each machine. $$\begin{array} { c c } 
\text { Machine A } & \text { Machine B } \
\hline 6.10 & 5.99 \
5.95 & 6.01 \
5.98 & 5.98 \
6.01 & 5.96 \
6.00 & 6.08 \
5.95 & 5.89 \
6.02 & 6.01 \
6.04 & 6.00 \
5.99 & 5.97 \
6.06 & 6.00
\end{array}$$
What is the appropriate null hypothesis for the claim that they distribute the same amount of coffee?

Accepted Answer

A) H0: ?DA ? ?DB 
B) H0: ?DA = ?DB 
C) H0: ?DA ? ?DB 
D) H0: ?DA ? ?DB 
A) H0: ?DA ? ?DB 
B) H0: ?DA = ?DB 
C) H0: ?DA ? ?DB 
D) H0: ?DA ? ?DB

Question 18

If you have data that consist of matched pairs collected from two dependent populations,then it may be appropriate to use the Wilcoxon signed ranks test.

Accepted Answer

A) True 
 B)False

Question 19

A manufacturer of cell phone batteries claims that the median life of a battery is more than 40 hours.Suppose a random sample of 75 batteries finds that 32 have a life of more than 40 hours.State the null hypothesis to test the claim.Assume that the population of all battery lives is not normally distributed.

Accepted Answer

A) H0: Md ≥ 40 
B) H0: Md ≠ 40 
C) H0: Md > 40 
D) H0: Md ≤ 40 
A) H0: Md ≥ 40 
B) H0: Md ≠ 40 
C) H0: Md > 40 
D) H0: Md ≤ 40

Question 20

Five years ago,the average starting salary of a new college graduate with a major in marketing was $34,000.A random sample of 10 graduates from this year's graduating class of a local university yielded the following starting salaries in thousands of dollars: 28,36,25,37,35,24,38,45,39,36.The local university wants to determine if the median starting salary for marketing graduates has increased in the last five years.
Assume that the population of starting salaries in marketing is not normally distributed.The p value is found to be .0547.Using α = .10,can we conclude that the starting salaries increased in the last five years?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

The sign test is a test about a population median that is valid for any sample size and population shape.

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

Assume that the following data set is not normally distributed. (21,18,4,9,14,16,17,12,15,8,7,5) If H_a: M_d < 6,then the value of S is:

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

The Wilcoxon signed ranks test is a nonparametric test.

The Wilcoxon rank sum test is the nonparametric counterpart of the:

Assume that the following data set is not normally distributed. (21,18,4,9,14,16,17,12,15,8,7,5) If H_a: M_d ≠ 7,then the p value is:

The signed ranks test is the nonparametric counterpart of the:

A ___________ test is a statistical test that can be used without assuming that the sampled population(s)has/have a particular type of probability distribution.

When a large sample is taken,the _______________ approximation to the binomial distribution can be used to implement the sign test.

If you have data that consist of matched pairs collected from two dependent populations,then it may be appropriate to use the Wilcoxon signed ranks test.

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Decision Theory

Filters

Exam 18: Nonparametric Methods

The sign test is a test about a population median that is valid for any sample size and population shape.

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

Assume that the following data set is not normally distributed. (21,18,4,9,14,16,17,12,15,8,7,5) If Ha: Md < 6,then the value of S is:

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

The Wilcoxon signed ranks test is a nonparametric test.

The Wilcoxon rank sum test is the nonparametric counterpart of the:

Assume that the following data set is not normally distributed. (21,18,4,9,14,16,17,12,15,8,7,5) If Ha: Md ≠ 7,then the p value is:

The signed ranks test is the nonparametric counterpart of the:

A ___________ test is a statistical test that can be used without assuming that the sampled population(s)has/have a particular type of probability distribution.

When a large sample is taken,the _______________ approximation to the binomial distribution can be used to implement the sign test.

If you have data that consist of matched pairs collected from two dependent populations,then it may be appropriate to use the Wilcoxon signed ranks test.

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Decision Theory

Filters

Assume that the following data set is not normally distributed. (21,18,4,9,14,16,17,12,15,8,7,5) If H_a: M_d < 6,then the value of S is:

Assume that the following data set is not normally distributed. (21,18,4,9,14,16,17,12,15,8,7,5) If H_a: M_d ≠ 7,then the p value is: