Question 1

An informal test for normality that utilizes a scatterplot and looks for clustering around a 45° line is known as a(n):

Accepted Answer

A)  Lilliefors test 
B)  empirical cumulative distribution function 
C)  p-test 
D)  quantile-quantile plot 
A)  Lilliefors test 
B)  empirical cumulative distribution function 
C)  p-test 
D)  quantile-quantile plot

Question 2

The chi-square goodness-of-fit test can be used to test for:

Accepted Answer

A)  significance of sample statistics 
B)  difference between population means 
C)  normality 
D)  difference between population variances 
A)  significance of sample statistics 
B)  difference between population means 
C)  normality 
D)  difference between population variances

Question 3

Which pair of tests is used to test for normality?

Accepted Answer

A)  a t-test and an ANOVA test 
B)  an empirical cumulative distribution function test and an F-test 
C)  a chi-square test and a Lilliefors test 
D)  a quantile-quantile plot and a p-value test 
A)  a t-test and an ANOVA test 
B)  an empirical cumulative distribution function test and an F-test 
C)  a chi-square test and a Lilliefors test 
D)  a quantile-quantile plot and a p-value test

Question 4

The analyst gets to choose the significance level   . It is typically chosen to be 0.50, but it is occasionally chosen to be 0.05.

Accepted Answer

A) True 
 B)False

Question 5

If, instead, the variances in the underlying populations are equal, would the decision regarding the salaries change? Explain why or why not. Answer this question without re-running the hypothesis test.
​

Accepted Answer

The p-value is very large, so

Question 6

A statistics professor has just given a final examination in his linear models course. He is particularly interested in determining whether the distribution of 50 exam scores is normally distributed. The data are shown in the table below. Perform the Lilliefors test. Report and interpret the results of the test.

Accepted Answer

The maximum distance between the empiric

Question 7

Smaller p-values indicate more evidence in support of:

Accepted Answer

A)  the null hypothesis 
B)  the alternative hypothesis 
C)  the quality of the researcher 
D)  none of these choices 
A)  the null hypothesis 
B)  the alternative hypothesis 
C)  the quality of the researcher 
D)  none of these choices

Question 8

Sample evidence is statistically significant at the   level only if the p-value is larger than   .

Accepted Answer

A) True 
 B)False

Question 9

The manager of a consulting firm in Lansing, Michigan, is trying to assess the effectiveness of computer skills training given to all new entry-level professionals. In an effort to make such an assessment, he administers a computer skills test immediately before and after the training program to each of 20 randomly chosen employees. The pre-training and post-training scores of these 20 individuals are shown in the table below.  
-(A) Is this two-sample data or paired data. Explain your answer.
​
(B) Specify an appropriate hypothesis test.
​
(C) Using a 10% level of significance, do the given sample data support that the firm's training programs is effective in increasing the new employee's computer skills?
​
(D) Using a 1% level of significance, do the given sample data support that the firm's training programs is effective in increasing the new employee's working knowledge of computing?

Accepted Answer

(A) This is paired data. We can only com

Question 10

The test statistic for a hypothesis test of a population proportion is the z-value.

Accepted Answer

A) True 
 B)False

Question 11

The hypothesis that an analyst is trying to prove is called the:

Accepted Answer

A)  elective hypothesis 
B)  alternative hypothesis 
C)  optional hypothesis 
D)  null hypothesis 
A)  elective hypothesis 
B)  alternative hypothesis 
C)  optional hypothesis 
D)  null hypothesis

Question 12

The probability of making a Type I error and the level of significance   are the same.

Accepted Answer

A) True 
 B)False

Question 13

In a survey of 1,500 customers who did holiday shopping on line during the 2000 holiday season, 270 indicated that they were not satisfied with their experience. Of the customers that were not satisfied, 143 indicated that they did not receive the products in time for the holidays, while 1,197 of the customers that were satisfied with their experience indicated that they did receive the products in time for the holidays. The following complete summary of results were reported:  
-(A) Is there a significant difference in satisfaction between those who received their products in time for the holidays, and those who did not receive their products in time for the holidays? Test at the 0.01 level of significance.
​
(B) Find the p-value associated with the test in part (A) and interpret its meaning.
​
(C) Based on the results of (A) and (B), if you were the marketing director of a company selling products online, what would you do to improve the satisfaction of the customers?

Accepted Answer

(A) Populations: 1 = received product in

Question 14

A real estate agency wants to compare the appraised values of single-family homes in two cities in Michigan. A sample of 60 listings in Lansing and 99 listings in Grand Rapids yields the following results (in thousands of dollars):  
-(A) Is there evidence of a significant difference in the average appraised values for single-family homes in the two Michigan cities? Use 0.05 level of significance.
​
(B) Have any of the assumptions made in (A) been violated? Explain.
​
(C) Construct a 95% confidence interval estimate of the difference between the population means of Lansing and Grand Rapids.
​
(D) Explain how to use the confidence interval in (C) to answer (A).

Accepted Answer

(A) Populations: 1 = Lansing, 2 = Grand

Question 15

The value set for   is known as the:

Accepted Answer

A)  rejection level 
B)  acceptance level 
C)  significance level 
D)  error in the hypothesis test 
A)  rejection level 
B)  acceptance level 
C)  significance level 
D)  error in the hypothesis test

Question 16

The rejection region is the set of sample data that leads to the rejection of the alternative hypothesis.

Accepted Answer

A) True 
 B)False

Question 17

A Type II error is committed when we incorrectly accept an alternative hypothesis that is false.

Accepted Answer

A) True 
 B)False

Question 18

A type I error occurs when the:

Accepted Answer

A)  null hypothesis is incorrectly accepted when it is false 
B)  null hypothesis is incorrectly rejected when it is true 
C)  sample mean differs from the population mean 
D)  test procedure itself is fundamentally biased 
A)  null hypothesis is incorrectly accepted when it is false 
B)  null hypothesis is incorrectly rejected when it is true 
C)  sample mean differs from the population mean 
D)  test procedure itself is fundamentally biased

Question 19

A professor of statistics refutes the claim that the proportion of Republican voters in Michigan is at most 45%. To test the claim, the hypotheses:   ,   , should be used.

Accepted Answer

A) True 
 B)False

Question 20

Which of the following values is not typically used for   ?

Accepted Answer

A)  0.01 
B)  0.05 
C)  0.10 
D)  0.50 
A)  0.01 
B)  0.05 
C)  0.10 
D)  0.50

An informal test for normality that utilizes a scatterplot and looks for clustering around a 45° line is known as a(n):

The chi-square goodness-of-fit test can be used to test for:

Which pair of tests is used to test for normality?

The analyst gets to choose the significance level . It is typically chosen to be 0.50, but it is occasionally chosen to be 0.05.

If, instead, the variances in the underlying populations are equal, would the decision regarding the salaries change? Explain why or why not. Answer this question without re-running the hypothesis test.

Smaller p-values indicate more evidence in support of:

Sample evidence is statistically significant at the level only if the p-value is larger than .

The test statistic for a hypothesis test of a population proportion is the z-value.

The hypothesis that an analyst is trying to prove is called the:

The probability of making a Type I error and the level of significance are the same.

The value set for is known as the:

The rejection region is the set of sample data that leads to the rejection of the alternative hypothesis.

A Type II error is committed when we incorrectly accept an alternative hypothesis that is false.

A type I error occurs when the:

A professor of statistics refutes the claim that the proportion of Republican voters in Michigan is at most 45%. To test the claim, the hypotheses: , , should be used.

Which of the following values is not typically used for ?

Introduction to Business Analytics

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

Exam 9: Hypothesis Testing

An informal test for normality that utilizes a scatterplot and looks for clustering around a 45° line is known as a(n):

The chi-square goodness-of-fit test can be used to test for:

Which pair of tests is used to test for normality?

The analyst gets to choose the significance level . It is typically chosen to be 0.50, but it is occasionally chosen to be 0.05.

If, instead, the variances in the underlying populations are equal, would the decision regarding the salaries change? Explain why or why not. Answer this question without re-running the hypothesis test. ​

Smaller p-values indicate more evidence in support of:

Sample evidence is statistically significant at the level only if the p-value is larger than .

The test statistic for a hypothesis test of a population proportion is the z-value.

The hypothesis that an analyst is trying to prove is called the:

The probability of making a Type I error and the level of significance are the same.

The value set for is known as the:

The rejection region is the set of sample data that leads to the rejection of the alternative hypothesis.

A Type II error is committed when we incorrectly accept an alternative hypothesis that is false.

A type I error occurs when the:

A professor of statistics refutes the claim that the proportion of Republican voters in Michigan is at most 45%. To test the claim, the hypotheses: , , should be used.

Which of the following values is not typically used for ?

Introduction to Business Analytics

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

If, instead, the variances in the underlying populations are equal, would the decision regarding the salaries change? Explain why or why not. Answer this question without re-running the hypothesis test.