Question 1

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 p-value is:

Accepted Answer

A) .0161 
B) .0029 
C) .0537 
D) .0322 
E) .0192 
A) .0161 
B) .0029 
C) .0537 
D) .0322 
E) .0192

Question 2

The claim of a local real estate agent is that the median selling price of homes in a major Midwestern city is more than $200,000.Suppose a random sample of 100 homes sold in the last six months is taken and 53 sold for over $200,000. State the null hypothesis to test the claim.Assume that the population of selling prices is not normally distributed.

Accepted Answer

A) H0: Md $\le$ 200000 
B) H0: Md $\ge$ 200000 
C) H0: Md $\neq$ 200000 
D) H0: Md > 200000 
A) H0: Md $\le$ 200000 
B) H0: Md $\ge$ 200000 
C) H0: Md $\neq$ 200000 
D) H0: Md > 200000

Question 3

In an effort to improve productivity in its factory,a firm recently instituted a training program for its workers.One of the work crews consisted of 14 workers.Seven workers from this crew were selected at random to attend the training course.All seven workers selected successfully completed the training course.The remaining seven workers served as a control group and did not attend the training course.Three months after the training course,a foreman who did not know which employees attended the training course was asked to rank all 14 employees in terms of their productivity.A rank of 14 indicates the most productive employee in the crew while a rank of one indicates the least productive worker.   State the null hypothesis for this problem.

Accepted Answer

A) H0: DT $\le$ DU 
B) H0: DT $\ge$ DU 
C) H0: DT $\neq$ DU 
D) H0: DT > DU 
A) H0: DT $\le$ DU 
B) H0: DT $\ge$ DU 
C) H0: DT $\neq$ DU 
D) H0: DT > DU

Question 4

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 $\neq$ 7,then the p-value is:

Accepted Answer

A) .0161 
B) .0029 
C) .0384 
D) .0322 
E) .0192 
A) .0161 
B) .0029 
C) .0384 
D) .0322 
E) .0192

Question 5

Which one of the following nonparametric methods can be used with a single population?

Accepted Answer

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

Question 6

A student is trying to decide if it is cheaper to order blank CDs over the internet or to buy them at local electronic stores.Listed below are the prices (in dollars)quoted for boxes of 200 blank CDs from various manufacturers.   Calculate the value of TI and TE.

Accepted Answer

A) 60,190 
B) 125,60 
C) 111,190 
D) 111,125 
A) 60,190 
B) 125,60 
C) 111,190 
D) 111,125

Question 7

Refer to the Mega-Stat/Excel output for the Wilcoxon rank sum test given in the table below.   At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H0: D1 is shifted to the right or left of D2

Accepted Answer

A) We reject H0 and conclude there is very strong evidence that the median value of the first sample significantly differs from the median value of the second sample. 
B) We reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample. 
C) We failed to reject H0 and conclude there is not sufficient evidence that the median value of the first sample is significantly less than the median value of the second sample. 
D) We failed to reject H0 and conclude there is not sufficient evidence to conclude that the median value of the first sample is not significantly different than the median value of the second sample. 
E) We failed to reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly greater than the median value of the second sample. 
A) We reject H0 and conclude there is very strong evidence that the median value of the first sample significantly differs from the median value of the second sample. 
B) We reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample. 
C) We failed to reject H0 and conclude there is not sufficient evidence that the median value of the first sample is significantly less than the median value of the second sample. 
D) We failed to reject H0 and conclude there is not sufficient evidence to conclude that the median value of the first sample is not significantly different than the median value of the second sample. 
E) We failed to reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly greater than the median value of the second sample.

Question 8

Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below.   At a significance level of .01,which one of the following statements is correct regarding the following null hypothesis? H0: D1 is shifted to the left of D2

Accepted Answer

A) We reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
B) We failed to reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
C) We reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
D) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2. 
E) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2. 
A) We reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
B) We failed to reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
C) We reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
D) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2. 
E) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2.

Question 9

The __________________ is a general test to detect whether the probability distribution of one population has shifted to the right or to the left of the probability distribution of another population.

Accepted Answer

A) Sign test 
B) Wilcoxon rank sum test 
C) Wilcoxon signed rank test 
D) Kruskal-Wallis test 
A) Sign test 
B) Wilcoxon rank sum test 
C) Wilcoxon signed rank test 
D) Kruskal-Wallis test

Question 10

Three years ago,a major hotel chain purchased a large number of heating and air-conditioning units from three major manufacturers,A,B and

Accepted Answer

A) Reject the null hypothesis 
B) Fail to reject the null hypothesis 
C) The accounting department of the hotel chain kept records on their repair and replacement costs over the last 3 years.The manager of the purchasing department randomly selected 6 brand A,7 brand B,and 6 brand C heating and air-conditioning unit records.The repair and replacement costs in dollars are summarized in the following table.At 
A) Reject the null hypothesis 
B) Fail to reject the null hypothesis 
C) The accounting department of the hotel chain kept records on their repair and replacement costs over the last 3 years.The manager of the purchasing department randomly selected 6 brand A,7 brand B,and 6 brand C heating and air-conditioning unit records.The repair and replacement costs in dollars are summarized in the following table.At

Question 11

The claim of the manufacturer of cell phone batteries is 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 $\ge$ 40 
B) H0: Md $\neq$ 40 
C) H0: Md > 40 
D) H0: Md $\le$ 40 
A) H0: Md $\ge$ 40 
B) H0: Md $\neq$ 40 
C) H0: Md > 40 
D) H0: Md $\le$ 40

Question 12

A random sample of 11 third year medical school students took a comprehensive written exam as well as a comprehensive oral exam.The scores on both exams are given below.It is established that both test scores have highly non-normal distributions.   At   = .05,can it be concluded that the oral exam scores are higher than the written exam scores?

Accepted Answer

A) Reject the null hypothesis 
B) Fail to reject the null hypothesis 
A) Reject the null hypothesis 
B) Fail to reject the null hypothesis

Question 13

The Wilcoxon signed rank test is a nonparametric test.

Accepted Answer

A) True 
 B)False

Question 14

Which one of the following nonparametric methods can be used to compare more than two independent populations in a single test?

Accepted Answer

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

Question 15

Parametric tests such as F and t tests are more powerful then their nonparametric counterparts,if the assumptions needed to perform the parametric test are not violated.

Accepted Answer

A) True 
 B)False

Question 16

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.The rankings are given below.   At   = .05,does it appear that the two scouts have similar opinions about the professional football career prospects of the seven players?

Accepted Answer

A) Reject the null hypothesis 
B) Fail to reject the null hypothesis 
A) Reject the null hypothesis 
B) Fail to reject the null hypothesis

Question 17

A parametric test is always more powerful than its nonparametric counterpart.

Accepted Answer

A) True 
 B)False

Question 18

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,and 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 $\alpha$ = .10,can we conclude that the starting salaries increased in the last five years?

Accepted Answer

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

Question 19

The ______________ test is a nonparametric method that requires data consisting of matched pairs.

Accepted Answer

A) Wilcoxon Rank Sum 
B) Kruskal-Wallis 
C) Wilcoxon signed rank 
D) Sign Test 
A) Wilcoxon Rank Sum 
B) Kruskal-Wallis 
C) Wilcoxon signed rank 
D) Sign Test

Question 20

In an effort to improve productivity in its factory,a firm recently instituted a training program for its workers.One of the work crews consisted of 14 workers.Seven workers from this crew were selected at random to attend the training course.All seven workers selected successfully completed the training course.The remaining seven workers served as a control group and did not attend the training course.Three months after the training course,a foreman who did not know which employees attended the training course was asked to rank all 14 employees in terms of their productivity.A rank of 14 indicates the most productive employee in the crew while a rank of one indicates the least productive worker.   
At $\alpha$ = .05,can it be concluded that training was beneficial in improving productivity?

Accepted Answer

A) Reject the null hypothesis,training is beneficial 
B) Fail to reject the null hypothesis,cannot determine if the training makes a difference 
A) Reject the null hypothesis,training is beneficial 
B) Fail to reject the null hypothesis,cannot determine if the training makes a difference

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 p-value 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 $\neq$ 7,then the p-value is:

Which one of the following nonparametric methods can be used with a single population?

A student is trying to decide if it is cheaper to order blank CDs over the internet or to buy them at local electronic stores.Listed below are the prices (in dollars)quoted for boxes of 200 blank CDs from various manufacturers. Calculate the value of T_I and T_E.

Refer to the Mega-Stat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H₀: D₁ is shifted to the right or left of D₂

Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below. At a significance level of .01,which one of the following statements is correct regarding the following null hypothesis? H₀: D₁ is shifted to the left of D₂

The __________________ is a general test to detect whether the probability distribution of one population has shifted to the right or to the left of the probability distribution of another population.

Three years ago,a major hotel chain purchased a large number of heating and air-conditioning units from three major manufacturers,A,B and

The Wilcoxon signed rank test is a nonparametric test.

Which one of the following nonparametric methods can be used to compare more than two independent populations in a single test?

Parametric tests such as F and t tests are more powerful then their nonparametric counterparts,if the assumptions needed to perform the parametric test are not violated.

A parametric test is always more powerful than its nonparametric counterpart.

The ______________ test is a nonparametric method that requires data consisting of matched pairs.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Decision Theory

Filters

Exam 18: Nonparametric Methods

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 p-value is:

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 ≠\neq= 7,then the p-value is:

Which one of the following nonparametric methods can be used with a single population?

A student is trying to decide if it is cheaper to order blank CDs over the internet or to buy them at local electronic stores.Listed below are the prices (in dollars)quoted for boxes of 200 blank CDs from various manufacturers. Calculate the value of TI and TE.

Refer to the Mega-Stat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H0: D1 is shifted to the right or left of D2

Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below. At a significance level of .01,which one of the following statements is correct regarding the following null hypothesis? H0: D1 is shifted to the left of D2

The __________________ is a general test to detect whether the probability distribution of one population has shifted to the right or to the left of the probability distribution of another population.

Three years ago,a major hotel chain purchased a large number of heating and air-conditioning units from three major manufacturers,A,B and

The Wilcoxon signed rank test is a nonparametric test.

Which one of the following nonparametric methods can be used to compare more than two independent populations in a single test?

Parametric tests such as F and t tests are more powerful then their nonparametric counterparts,if the assumptions needed to perform the parametric test are not violated.

A parametric test is always more powerful than its nonparametric counterpart.

The ______________ test is a nonparametric method that requires data consisting of matched pairs.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

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 p-value 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 $\neq$ 7,then the p-value is:

A student is trying to decide if it is cheaper to order blank CDs over the internet or to buy them at local electronic stores.Listed below are the prices (in dollars)quoted for boxes of 200 blank CDs from various manufacturers. Calculate the value of T_I and T_E.

Refer to the Mega-Stat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H₀: D₁ is shifted to the right or left of D₂

Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below. At a significance level of .01,which one of the following statements is correct regarding the following null hypothesis? H₀: D₁ is shifted to the left of D₂