Question 1

A one-tailed hypothesis test for a population variance always has the rejection region in the upper tail.

Accepted Answer

A) True 
 B)False

Question 2

The F-distribution can only have positive values.

Accepted Answer

A) True 
 B)False

Question 3

In a two-tailed test for the equality of two variances,the critical value is determined by going to the F-distribution table with an upper-tail area equal to alpha divided by two.

Accepted Answer

A) True 
 B)False

Question 4

In a two-tailed hypothesis test for the difference between two population variances,if s1 = 3 and s2 = 5,then the test statistic is F = 2.7778.

Accepted Answer

A) True 
 B)False

Question 5

In a test for determining whether two population variances are the same or different,the larger the sample sizes from the two populations,the lower will be the chance of making a Type I statistical error.

Accepted Answer

A) True 
 B)False

Question 6

When a hypothesis test is to be conducted regarding a population variance,the test statistic will be:

Accepted Answer

A) a t-value from the t-distribution. 
B) a x2 value from the chi-square distribution. 
C) a z-value from the standard normal distribution. 
D) a binomial distribution p value. 
A) a t-value from the t-distribution. 
B) a x2 value from the chi-square distribution. 
C) a z-value from the standard normal distribution. 
D) a binomial distribution p value.

Question 7

To test the following hypotheses at the 0.05 level of significance,using a sample size of n = 15.   What is the upper tail critical value?

Accepted Answer

A) 23.685 
B) 24.996 
C) 27.488 
D) 26.119 
A) 23.685 
B) 24.996 
C) 27.488 
D) 26.119

Question 8

If the variance of the contents of cans of orange juice is significantly more than 0.003,the manager has to order to stop the filling machine.A sample of 26 cans of orange juice showed a standard deviation of 0.06 ounces.Based on the sample and at the 0.05 level of significance,the filling machine should be

Accepted Answer

A) stopped. 
B) kept going. 
C) upgraded. 
D) downgraded. 
A) stopped. 
B) kept going. 
C) upgraded. 
D) downgraded.

Question 9

A machine that is used to fill soda pop cans with pop has an adjustable mean fill setting,but the standard deviation is not supposed to exceed 0.18 ounces.To make sure that this is the case,the managers at the beverage company each day select a random sample of n = 6 cans and measure the fill volume carefully.In one such case,the following data (ounces per can)were observed.   Based on these sample data,the test statistic is approximately χ2 = 5.01.

Accepted Answer

A) True 
 B)False

Question 10

The null hypothesis that two population variances are equal will tend to be rejected if the ratio of the sample variances from each population is substantially larger than 1.0.

Accepted Answer

A) True 
 B)False

Question 11

It is believed that the SAT scores for students entering two state universities may have different standard deviations.Specifically,it is believed that the standard deviation at University A is greater than the standard deviation at University B.To test this using an alpha = 0.05 level,a sample of 14 student SAT scores from University A was selected and a sample of 8 SAT scores from University B was selected.The following sample results were observed:   Based on this information,what is the critical value that will be used to test the hypothesis?

Accepted Answer

A) = 3.55 
B) = 2.832 
C) z = 1.645 
D) = 3.237 
A) = 3.55 
B) = 2.832 
C) z = 1.645 
D) = 3.237

A one-tailed hypothesis test for a population variance always has the rejection region in the upper tail.

The F-distribution can only have positive values.

In a two-tailed test for the equality of two variances,the critical value is determined by going to the F-distribution table with an upper-tail area equal to alpha divided by two.

In a two-tailed hypothesis test for the difference between two population variances,if s₁ = 3 and s₂ = 5,then the test statistic is F = 2.7778.

In a test for determining whether two population variances are the same or different,the larger the sample sizes from the two populations,the lower will be the chance of making a Type I statistical error.

When a hypothesis test is to be conducted regarding a population variance,the test statistic will be:

To test the following hypotheses at the 0.05 level of significance,using a sample size of n = 15. What is the upper tail critical value?

The null hypothesis that two population variances are equal will tend to be rejected if the ratio of the sample variances from each population is substantially larger than 1.0.

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

Filters

Exam 11: Hypothesis Tests and Estimation for Population Variances

A one-tailed hypothesis test for a population variance always has the rejection region in the upper tail.

The F-distribution can only have positive values.

In a two-tailed test for the equality of two variances,the critical value is determined by going to the F-distribution table with an upper-tail area equal to alpha divided by two.

In a two-tailed hypothesis test for the difference between two population variances,if s1 = 3 and s2 = 5,then the test statistic is F = 2.7778.

In a test for determining whether two population variances are the same or different,the larger the sample sizes from the two populations,the lower will be the chance of making a Type I statistical error.

When a hypothesis test is to be conducted regarding a population variance,the test statistic will be:

To test the following hypotheses at the 0.05 level of significance,using a sample size of n = 15. What is the upper tail critical value?

The null hypothesis that two population variances are equal will tend to be rejected if the ratio of the sample variances from each population is substantially larger than 1.0.

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

Filters

In a two-tailed hypothesis test for the difference between two population variances,if s₁ = 3 and s₂ = 5,then the test statistic is F = 2.7778.