Question 1

The F statistic can assume either a positive or a negative value.

Accepted Answer

A) True 
 B)False

Question 2

A coffee shop franchise owner is looking at two possible locations for a new shop.To help make a decision he looks at the number of pedestrians that go by each of the two locations in one-hour segments.At location A,counts are taken for 35 one-hour units and with a mean number of pedestrians of 421 and a sample standard deviation of 122.At the second location (B),counts are taken for 50 one hour units with a mean number of pedestrians of 347 and a sample standard deviation of 85.Assume the two populations variances are not known but are equal.(pooled variance = 22.4)Testing the claim that both sites have the same mean number of pedestrians at   = .01,what do you conclude?

Accepted Answer

A) There is a difference between the two sites 
B) There is no difference between the two sites 
A) There is a difference between the two sites 
B) There is no difference between the two sites

Question 3

In an opinion survey,a random sample of 1000 adults from the U.S.A and 1000 adults from Germany were asked whether they supported the death penalty.590 American adults and 560 German adults indicated that they supported the death penalty.The researcher wants to know if there is sufficient evidence to conclude that the proportion of adults who support the death penalty is higher in the U.S.A.than in Germany.What is the decision at   = .05?

Accepted Answer

A) Reject the null hypothesis 
B) Can't reject the null hypothesis 
A) Reject the null hypothesis 
B) Can't reject the null hypothesis

Question 4

In testing the difference between the means of two normally distributed populations using large independent random samples,the alternative hypothesis indicates no differences between the two specified means.

Accepted Answer

A) True 
 B)False

Question 5

The registrar at a state college is interested in determining whether there is a difference of more than one credit hour between male and female students in the average number of credit hours taken during a term.She selected a random sample of 60 male and 60 female students and observed the following sample information.   Setup the alternative hypothesis to test the claim.

Accepted Answer

A) µf - µm $\neq$ 0 B) µf - µm $\neq$ 1 C) µf - µm > 1 D) µf - µm < 1 A) µf - µm $\neq$ 0 B) µf - µm $\neq$ 1 C) µf - µm > 1 D) µf - µm < 1

Question 6

If the Z statistic (critical value)is incorrectly used in lieu of the t statistic when comparing two means from independent populations using small samples,the chance of committing a Type II error __________.

Accepted Answer

A) Increases 
B) Decreases 
C) Remains the same 
A) Increases 
B) Decreases 
C) Remains the same

Question 7

In an opinion survey,a random sample of 1000 adults from the U.S.A and 1000 adults from Germany were asked whether they supported the death penalty.590 American adults and 560 German adults indicated that they supported the death penalty.The researcher wants to know if there is sufficient evidence to conclude that the proportion of adults who support the death penalty is higher in the U.S.A.than in Germany.What is the rejection point (critical value of the test statistic)at   = .10?

Accepted Answer

A) 1.96 
B) 2.33 
C) 1.28 
D) 1.645 
A) 1.96 
B) 2.33 
C) 1.28 
D) 1.645

Question 8

When comparing two independent population means,if n1 = 13 and n2 = 10,degrees of freedom for the t statistic is 22.

Accepted Answer

A) True 
 B)False

Question 9

When we test H0: p1- p2 $\le$.01,HA: p1 - p2 > .01 at $\alpha$= .05 where   1 = .08,   2 = .035,n1= 200,n2 = 400,what is the standard deviation used in the calculation of the test statistic?

Accepted Answer

A) 0.0005 
B) 0.3277 
C) 0.0213 
D) 0.0134 
A) 0.0005 
B) 0.3277 
C) 0.0213 
D) 0.0134

Question 10

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB)where   cola= .21,   RB= .12,ncola = 200,nRB = 150.

Accepted Answer

A) (-0.018 0.198) 
B) (0.0255 0.1545) 
C) (0.073 0.107) 
D) (0.013 0.167) 
A) (-0.018 0.198) 
B) (0.0255 0.1545) 
C) (0.073 0.107) 
D) (0.013 0.167)

Question 11

What is the F-statistic for testing H0: $\sigma$12 $\le$ $\sigma$22,HA: $\sigma$22> $\sigma$12 at   = .05 where n1 = 16,n2= 19,s12 = .03,s22 = .02?

Accepted Answer

A) 1.50 
B) 0.67 
C) 1.22 
D) 2.25 
A) 1.50 
B) 0.67 
C) 1.22 
D) 2.25

Question 12

Two hospital emergency rooms use different procedures for triage of their patients.We want to test the claim that the mean waiting time of patients is the same for both hospitals.The 40 randomly selected subjects from one hospital produce a mean of 18.3 minutes.The 50 randomly selected patients from the other hospital produce a mean of 25.31 minutes.Assume a  $\sigma$a = 2.1 minutes and  $\sigma$b = 2.92 minutes.Calculate the test statistic for testing these hypothesis.

Accepted Answer

A) -21.05 
B) -24.97 
C) -13.24 
D) -18.49 
A) -21.05 
B) -24.97 
C) -13.24 
D) -18.49

The F statistic can assume either a positive or a negative value.

In testing the difference between the means of two normally distributed populations using large independent random samples,the alternative hypothesis indicates no differences between the two specified means.

If the Z statistic (critical value)is incorrectly used in lieu of the t statistic when comparing two means from independent populations using small samples,the chance of committing a Type II error __________.

When comparing two independent population means,if n₁ = 13 and n₂ = 10,degrees of freedom for the t statistic is 22.

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB)where _cola= .21, _RB= .12,n_cola = 200,n_RB = 150.

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

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

Nonparametric Methods

Decision Theory

Filters

Exam 10: Statistical Inferences Based on Two Samples

The F statistic can assume either a positive or a negative value.

In testing the difference between the means of two normally distributed populations using large independent random samples,the alternative hypothesis indicates no differences between the two specified means.

If the Z statistic (critical value)is incorrectly used in lieu of the t statistic when comparing two means from independent populations using small samples,the chance of committing a Type II error __________.

When comparing two independent population means,if n1 = 13 and n2 = 10,degrees of freedom for the t statistic is 22.

When we test H0: p1- p2 ≤\le≤ .01,HA: p1 - p2 > .01 at α\alphaα = .05 where 1 = .08, 2 = .035,n1= 200,n2 = 400,what is the standard deviation used in the calculation of the test statistic?

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB)where cola= .21, RB= .12,ncola = 200,nRB = 150.

What is the F-statistic for testing H0: σ\sigmaσ 12 ≤\le≤ σ\sigmaσ 22,HA: σ\sigmaσ 22> σ\sigmaσ 12 at = .05 where n1 = 16,n2= 19,s12 = .03,s22 = .02?

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

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

Nonparametric Methods

Decision Theory

Filters

When comparing two independent population means,if n₁ = 13 and n₂ = 10,degrees of freedom for the t statistic is 22.

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB)where _cola= .21, _RB= .12,n_cola = 200,n_RB = 150.