MATH 302 QUIZ 5 – QUESTION AND ANSWERS
SET 1
Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know
if the amount of money spent by its female charge customers differs, on average, from the
amount spent by its male charge customers.
To answer this question, an analyst collected random samples of 25 female customers and
22 male customers. Based on these samples, on average, the 25 women charge customers
spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample
standard deviation of the amount charged by the 25 women was $93.393, and the sample
standard deviation of the amount charged by the 22 men was $59.695.
Using the procedure advocated by Bluman, at the 10% level of significance, is there
sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women
charge customers differs from the amount spent by men charge customers.
•
A. No, the p-value of this test is less than 0.10.
•
B. No, the test value does not exceed the critical value.
•
C. Yes, the p-value of this test is greater than 0.10
•
D. Yes, the test value does not exceed the critical value
Answer Key: B
Two independent samples of sizes n1 = 50 and n2 = 50 are randomly
selected from two populations to test the difference between the
population means, . The sampling distribution of the
sample mean difference, is:
A. t - distributed with 98 degrees of freedom
B. approximately normal
C. chi-squared distributed with 99 degrees of freedom
1
, D. normally distributed
2
SET 1
Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know
if the amount of money spent by its female charge customers differs, on average, from the
amount spent by its male charge customers.
To answer this question, an analyst collected random samples of 25 female customers and
22 male customers. Based on these samples, on average, the 25 women charge customers
spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample
standard deviation of the amount charged by the 25 women was $93.393, and the sample
standard deviation of the amount charged by the 22 men was $59.695.
Using the procedure advocated by Bluman, at the 10% level of significance, is there
sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women
charge customers differs from the amount spent by men charge customers.
•
A. No, the p-value of this test is less than 0.10.
•
B. No, the test value does not exceed the critical value.
•
C. Yes, the p-value of this test is greater than 0.10
•
D. Yes, the test value does not exceed the critical value
Answer Key: B
Two independent samples of sizes n1 = 50 and n2 = 50 are randomly
selected from two populations to test the difference between the
population means, . The sampling distribution of the
sample mean difference, is:
A. t - distributed with 98 degrees of freedom
B. approximately normal
C. chi-squared distributed with 99 degrees of freedom
1
, D. normally distributed
2
