Question 1

The probability of a Type I error can be specified by the investigator.The probability of a Type II error is ________.

Accepted Answer

A) one minus the probability of Type I error 
B) the result of the hypothesis test itself 
C) also specified by the investigator 
D) not specified by the investigator but computed using the power of the test 
A) one minus the probability of Type I error 
B) the result of the hypothesis test itself 
C) also specified by the investigator 
D) not specified by the investigator but computed using the power of the test

Question 2

When conducting two-sample tests for means with independent samples,________.

Accepted Answer

A) it is always assumed that the population variances are equal 
B) the test for equality of variances is conducted,and if the variances are not equal the t-test in Excel should not be used 
C) the test for equality of variances is conducted to determine if the variances are equal and thereby choose the appropriate t-test in Excel 
D) it is always assumed that the population variances are unequal 
A) it is always assumed that the population variances are equal 
B) the test for equality of variances is conducted,and if the variances are not equal the t-test in Excel should not be used 
C) the test for equality of variances is conducted to determine if the variances are equal and thereby choose the appropriate t-test in Excel 
D) it is always assumed that the population variances are unequal

Question 3

The Excel function Z.TEST returns the ________.

Accepted Answer

A) one-tailed p-value of a Z-test 
B) right‐tailed critical value of Z 
C) two-tailed p-value of a Z-test 
D) left‐tailed critical value of Z 
A) one-tailed p-value of a Z-test 
B) right‐tailed critical value of Z 
C) two-tailed p-value of a Z-test 
D) left‐tailed critical value of Z

Question 4

In the test statistic for a one-sample test for proportion,π0 is the ________.

Accepted Answer

A) sample proportion 
B) population proportion 
C) hypothesized proportion value 
D) standard error of the sampling distribution of the proportion 
A) sample proportion 
B) population proportion 
C) hypothesized proportion value 
D) standard error of the sampling distribution of the proportion

Question 5

A Type I error occurs when ________.

Accepted Answer

A) the null hypothesis is actually false,but the hypothesis test incorrectly fails to reject it 
B) the null hypothesis is actually true,and the hypothesis test correctly fails to reject it 
C) the null hypothesis is actually false,and the hypothesis test correctly reaches this conclusion 
D) the null hypothesis is actually true,but the hypothesis test incorrectly rejects it 
A) the null hypothesis is actually false,but the hypothesis test incorrectly fails to reject it 
B) the null hypothesis is actually true,and the hypothesis test correctly fails to reject it 
C) the null hypothesis is actually false,and the hypothesis test correctly reaches this conclusion 
D) the null hypothesis is actually true,but the hypothesis test incorrectly rejects it

Question 6

Use the below information to answer the following question(s).
A company wishes to test whether the proportion of female managers is the same as the proportion of male managers.The following table provides data for a sample of employees.  
-Which of the following is the test statistic? [Hint: Use PHStat]

Accepted Answer

A) 1.96 
B) -1.04 
C) -1.96 
D) 1.04 
A) 1.96 
B) -1.04 
C) -1.96 
D) 1.04

Question 7

In two‐sample test for means with paired samples,the test statistic is given by ________.

Accepted Answer

A) Z =   
B) t =   
C) t =   
D)    =   
A) Z =   
B) t =   
C) t =   
D)    =

Question 8

If the confidence coefficient is 0.9,________.

Accepted Answer

A) we expect that 9 samples out of 100 will support the null hypothesis 
B) we expect that 90 out of 100 samples will support the null hypothesis 
C) we expect that 10 samples out of 100 will support the null hypothesis 
D) we expect that all 100 samples will support the null hypothesis 
A) we expect that 9 samples out of 100 will support the null hypothesis 
B) we expect that 90 out of 100 samples will support the null hypothesis 
C) we expect that 10 samples out of 100 will support the null hypothesis 
D) we expect that all 100 samples will support the null hypothesis

Question 9

In testing the difference between two population parameters,if the confidence interval for the difference contains 0,then the corresponding null hypothesis will not be rejected.

Accepted Answer

A) True 
 B)False

Question 10

Read the following scenario and select the correct answer. There is a large range of starting salaries among software engineers.Sample statistics have been collected to determine if patterns emerge that can help explain this variability.It was found that the mean starting income for men is $42,000 and the mean starting income for women is $52,000.What conclusions can you make from this information?

Accepted Answer

A) The difference between mean starting salary for men and women is not random. 
B) Women are more qualified than men. 
C) Men are not compensated fairly. 
D) It would be inappropriate to draw conclusions without first formulating a hypothesis and testing that hypothesis. 
A) The difference between mean starting salary for men and women is not random. 
B) Women are more qualified than men. 
C) Men are not compensated fairly. 
D) It would be inappropriate to draw conclusions without first formulating a hypothesis and testing that hypothesis.

Question 11

Compute the 95% confidence interval for the mean difference.What is the conclusion?

Accepted Answer

The 95% confidence interval for the mean

Question 12

Use the below information to answer the following question(s).
The following table shows the number of customers that each of the four counters of a retail store have billed in the past few days.  
-ANOVA concluded that at least one mean is different from others.However,it did not determine which of the means is significantly different from the rest.Now,to apply the Tukey-Kramer multiple comparison procedure to determine these significant differences,first identify the Q Statistic.

Accepted Answer

The answer of Use the below information to answer the...

Question 13

The chi-square statistic is given by ________.

Accepted Answer

A)    =   
B)    =   
C)    =   
D)    =   
A)    =   
B)    =   
C)    =   
D)    =

Question 14

The test statistic for a one-sample test for proportions is ________.

Accepted Answer

A) t =   
B) Z =   
C) Z =   
D) t =   
A) t =   
B) Z =   
C) Z =   
D) t =

Question 15

In hypothesis testing,the null and the alternative hypotheses are ________.

Accepted Answer

A) not mutually exclusive 
B) mutually exclusive 
C) always false 
D) always true 
A) not mutually exclusive 
B) mutually exclusive 
C) always false 
D) always true

Question 16

An online retailer wanted to see if purchasing patterns were different between male consumers and female consumers.Males were found to have spent a mean of $85 per month on online purchases,whereas females were found to have spent a mean of $78 per month.An independent samples t-test was conducted to assess the observed difference between the two groups of consumers.A two-tailed test was applied.The value of the t-Test Statistic for the observed differences was -4.7,where the p-value is less than 0.0002.What conclusion can be made about the observed difference?

Accepted Answer

A) There is a statistically significant difference between the two groups of consumers. 
B) There is statistically no significant difference between the two groups of consumers. 
C) The independent samples t-test is not the appropriate hypothesis-testing procedure. 
D) There is not sufficient information to conclude. 
A) There is a statistically significant difference between the two groups of consumers. 
B) There is statistically no significant difference between the two groups of consumers. 
C) The independent samples t-test is not the appropriate hypothesis-testing procedure. 
D) There is not sufficient information to conclude.

Question 17

Use the below information to answer the following question(s).
The following table provides data on a sample of customers who visited a local restaurant.The restaurant owner believes that the average profit per customer exceeds $25.  
-Which of the following is the critical value using a level of significance of 0.05?

Accepted Answer

A) 1.717 
B) -1.717 
C) 1.7139 
D) -2.0739 
A) 1.717 
B) -1.717 
C) 1.7139 
D) -2.0739

Question 18

To determine if there was a statistically significant difference in the means of two independent groups,which statistical tool would one be most likely to employ to assess the significance of any observed difference?

Accepted Answer

A) paired samples t-test 
B) chi-square test for independence 
C) Levene's test for homogeneity of variances 
D) independent samples t-test 
A) paired samples t-test 
B) chi-square test for independence 
C) Levene's test for homogeneity of variances 
D) independent samples t-test

Question 19

A weakness of ANOVA is that it ________.

Accepted Answer

A) does not work well for normally distributed variables 
B) is not reliable when the outcome measures of the groups under study have equal variances 
C) cannot determine which of the means are significantly different from the rest when the null hypothesis of the test is rejected 
D) only works well with dichotomous factors and cannot evaluate differences within the factors if each factor has more than two possible levels 
A) does not work well for normally distributed variables 
B) is not reliable when the outcome measures of the groups under study have equal variances 
C) cannot determine which of the means are significantly different from the rest when the null hypothesis of the test is rejected 
D) only works well with dichotomous factors and cannot evaluate differences within the factors if each factor has more than two possible levels

Question 20

Differentiate between one- and two-tailed tests of hypothesis.How is the rejection region determined for a one-tailed test?

Accepted Answer

In one-tailed tests of hypothesis,the re

The probability of a Type I error can be specified by the investigator.The probability of a Type II error is ________.

When conducting two-sample tests for means with independent samples,________.

The Excel function Z.TEST returns the ________.

In the test statistic for a one-sample test for proportion,π₀ is the ________.

A Type I error occurs when ________.

In two‐sample test for means with paired samples,the test statistic is given by ________.

If the confidence coefficient is 0.9,________.

In testing the difference between two population parameters,if the confidence interval for the difference contains 0,then the corresponding null hypothesis will not be rejected.

Compute the 95% confidence interval for the mean difference.What is the conclusion?

The chi-square statistic is given by ________.

The test statistic for a one-sample test for proportions is ________.

In hypothesis testing,the null and the alternative hypotheses are ________.

To determine if there was a statistically significant difference in the means of two independent groups,which statistical tool would one be most likely to employ to assess the significance of any observed difference?

A weakness of ANOVA is that it ________.

Differentiate between one- and two-tailed tests of hypothesis.How is the rejection region determined for a one-tailed test?

Data and Business Decisions

Descriptive Statistics and Data Analysis

Probability Concepts and Distributions

Sampling and Estimation

Regression Analysis

Forecasting

Introduction to Statistical Quality Control

Building and Using Decision Models

Decision Models With Uncertainty and Risk

Decisions, uncertainty, and Risk

Queues and Process Simulation Modeling

Linear Optimization

Integer, nonlinear, and Advanced Optimization Methods

Filters

Exam 5: Hypothesis Testing and Statistical Inference

The probability of a Type I error can be specified by the investigator.The probability of a Type II error is ________.

When conducting two-sample tests for means with independent samples,________.

The Excel function Z.TEST returns the ________.

In the test statistic for a one-sample test for proportion,π0 is the ________.

A Type I error occurs when ________.

In two‐sample test for means with paired samples,the test statistic is given by ________.

If the confidence coefficient is 0.9,________.

In testing the difference between two population parameters,if the confidence interval for the difference contains 0,then the corresponding null hypothesis will not be rejected.

Compute the 95% confidence interval for the mean difference.What is the conclusion?

The chi-square statistic is given by ________.

The test statistic for a one-sample test for proportions is ________.

In hypothesis testing,the null and the alternative hypotheses are ________.

To determine if there was a statistically significant difference in the means of two independent groups,which statistical tool would one be most likely to employ to assess the significance of any observed difference?

A weakness of ANOVA is that it ________.

Differentiate between one- and two-tailed tests of hypothesis.How is the rejection region determined for a one-tailed test?

Data and Business Decisions

Descriptive Statistics and Data Analysis

Probability Concepts and Distributions

Sampling and Estimation

Regression Analysis

Forecasting

Introduction to Statistical Quality Control

Building and Using Decision Models

Decision Models With Uncertainty and Risk

Decisions, uncertainty, and Risk

Queues and Process Simulation Modeling

Linear Optimization

Integer, nonlinear, and Advanced Optimization Methods

Filters

In the test statistic for a one-sample test for proportion,π₀ is the ________.