Question 1

The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

Accepted Answer

A) True 
 B)False

Question 2

When testing the difference between two population means, the degrees of freedom must be computed when

Accepted Answer

A)  the population standard deviations are known and equal. 
B)  the population means are known. 
C)  the population standard deviations are assumed unequal and unknown. 
D)  the population standard deviations are assumed equal but unknown.

Question 3

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions?  What is the proportion of sales made in Region A? ______

Accepted Answer

The answer of To compare the effect of weather on...

Question 4

If we are testing for the difference between two population proportions, it is assumed that the two samples are large enough that the binomial distribution can be approximated by _____.

Accepted Answer

The answer of If we are testing for the difference...

Question 5

For a hypothesis test comparing two population means, the combined degrees of freedom are 24. Which of the following statements about the two sample sizes is NOT true? Assume the population standard deviations are equal.

Accepted Answer

A)  n1 = 11; n2= 13 
B)  n1= 12; n2= 14 
C)  n1= 13; n2= 13 
D)  n1= 10; n2= 16

Question 6

If the null hypothesis states that there is no difference between the mean net income of retail stores in Chicago and New York City, then the test is two-tailed.

Accepted Answer

A) True 
 B)False

Question 7

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions?  
What is the null hypothesis? _____________________

Accepted Answer

The answer of To compare the effect of weather on...

Question 8

When the standard deviations are equal but unknown, a test for the differences between two population means has n - 1 degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 9

When dependent samples are used to test for differences in the means, we pool the sample variances.

Accepted Answer

A) True 
 B)False

Question 10

20 randomly selected statistics students were given 15 multiple-choice questions and 15 open-ended questions - all on the same material. The professor was interested in determining which type of questions the students scored higher. This experiment is an example of

Accepted Answer

A)  a one sample test of means. 
B)  a two sample test of means. 
C)  a paired t-test. 
D)  a test of proportions.

Question 11

For a hypothesis comparing two population means, what is the critical value for a one-tailed hypothesis test, using a 5% level of significance level, with both sample sizes equal to 13? The standard deviations for the samples are 5 and 7. Assume the population standard deviations are unequal.

Accepted Answer

A)  2.064 
B)  1.711 
C)  2.074 
D)  1.717

Question 12

A study by a bank compared the average savings of customers who were depositors for three years or less, with those who had been depositors for more than three years. The results of a sample are:  If the population standard deviations are unknown and assumed unequal, what are the degrees of freedom?

Accepted Answer

The answer of A study by a bank compared the...

Question 13

When independent samples are used to test for differences in the population means with equal population standard deviations, we _______ the variances.

Accepted Answer

The answer of When independent samples are used to test...

Question 14

The net weights (in grams) of a sample of bottles filled by a machine manufactured by Edne, and the net weights of a sample filled by a similar machine manufactured by Orno, Inc., are: Edne: 5, 8, 7, 6, 9 and 7
Orno: 8, 10, 7, 11, 9, 12, 14 and 9
Testing the claim at the 0.05 level that the mean weight of the bottles filled by the Orno machine is greater than the mean weight of the bottles filled by the Edne machine, what is the critical value? Assume equal standard deviations for both samples.

Accepted Answer

A)  2.179 
B)  2.145 
C)  1.782 
D)  1.761

Question 15

When the population standard deviations are unknown, what is the purpose of pooling the sample variances when testing the difference between two population means? ___________

Accepted Answer

The answer of When the population standard deviations are unknown,...

Question 16

A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is calculated. The results are presented below.  
The researcher is interested in determining whether there is evidence that the two processes yield different average errors. Assume that the population standard deviations are equal. What is the null hypothesis?

Accepted Answer

A)  H0: µA = µB 
B)  H0: µA $\neq$ µB 
C)  H0: µA $\le$µB 
D)  H0: µA > µB

Question 17

In a market test of a new chocolate raspberry coffee, a poll of 400 people from Dobbs Ferry showed 250 preferred the new coffee. In Irvington, 170 out of 350 people preferred the new coffee. To test the hypothesis that there is no difference in preferences between the two villages, what is the alternate hypothesis?

Accepted Answer

A)  H1: $\pi$1 2 
B)  H1: $\pi$1 > $\pi$2 
C)  H1: $\pi$1 = $\pi$2 
D)  H1: $\pi$1 $\neq$$\pi$2

Question 18

A company is researching the effectiveness of a new web site design to decrease the time to access a website. Five web site users were randomly selected and their times (in seconds) to access the web site with the old and new designs were recorded. The results follow.

Accepted Answer

The answer of A company is researching the effectiveness of...

Question 19

If samples taken from two populations that are dependent, then a test of ______ differences is applied.

Accepted Answer

The answer of If samples taken from two populations that...

Question 20

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below.  At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the p-value hypothesis test?

Accepted Answer

A)  Reject the null hypothesis and conclude the means are different. 
B)  Reject the null hypothesis and conclude the means are the same. 
C)  Fail to reject the null hypothesis and conclude the means are the same. 
D)  Fail to reject the null hypothesis and conclude the means are different.

Exam 11: Two-Sample Tests of Hypothesis

The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

When testing the difference between two population means, the degrees of freedom must be computed when

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions? What is the proportion of sales made in Region A? ______

If we are testing for the difference between two population proportions, it is assumed that the two samples are large enough that the binomial distribution can be approximated by _____.

For a hypothesis test comparing two population means, the combined degrees of freedom are 24. Which of the following statements about the two sample sizes is NOT true? Assume the population standard deviations are equal.

If the null hypothesis states that there is no difference between the mean net income of retail stores in Chicago and New York City, then the test is two-tailed.

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions? What is the null hypothesis? _____________________

When the standard deviations are equal but unknown, a test for the differences between two population means has n - 1 degrees of freedom.

When dependent samples are used to test for differences in the means, we pool the sample variances.

20 randomly selected statistics students were given 15 multiple-choice questions and 15 open-ended questions - all on the same material. The professor was interested in determining which type of questions the students scored higher. This experiment is an example of

For a hypothesis comparing two population means, what is the critical value for a one-tailed hypothesis test, using a 5% level of significance level, with both sample sizes equal to 13? The standard deviations for the samples are 5 and 7. Assume the population standard deviations are unequal.

A study by a bank compared the average savings of customers who were depositors for three years or less, with those who had been depositors for more than three years. The results of a sample are: If the population standard deviations are unknown and assumed unequal, what are the degrees of freedom?

When independent samples are used to test for differences in the population means with equal population standard deviations, we _______ the variances.

When the population standard deviations are unknown, what is the purpose of pooling the sample variances when testing the difference between two population means? ___________

A company is researching the effectiveness of a new web site design to decrease the time to access a website. Five web site users were randomly selected and their times (in seconds) to access the web site with the old and new designs were recorded. The results follow.

If samples taken from two populations that are dependent, then a test of ______ differences is applied.

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below. At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the p-value hypothesis test?