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general manager of a chain of fast food chicken restaurants wants to determine h

ID: 3289669 • Letter: G

Question

general manager of a chain of fast food chicken restaurants wants to determine how effective their promotional campaigns are. In these campaigns "20% off" coupons are widely distributed. These coupons are only valid for one week. To examine their effectiveness, the executive records the daily gross sales (in $1,000 in one restaurant during the campaign and during the week after the campaign ends. The data are shown below. What statistical test should be conducted to examine the effectiveness of their promotional campaigns? a) t-test with df = 6 b) t-test with df = 12 c) z-test d) F-test A consumer research organization is attempting to determine whether there is any difference in mpg for fully loaded 22-foot trucks leased from three companies, A-Haul, Bertz, and Glyder. Five of these trucks are rented from each company. Each truck is driven with the same weight cargo over the same 200-mile route and the mpg recorded. The results of the test are: What statistical test should be conducted to determine whether there is any difference in the average gas mileage in mpg for fully loaded 22-foot trucks leased from the three companies? a) t-test with df = 6 b) t-test with df = 12 c) z-test d) F-test Given the significance level 0.01, the F-value for ndf = 7 and ddf = 3 is: a) 5.89 b) 8.45 c) 14.62 d) 27.67 In testing for the equality of two population variances with sample sizes of n_1 = 8 and n_2 = 10, we would which of the following test statistics: a) F-test with 8 and 10 degrees of freedom b) F-test with 7 and 9 degrees of freedom c) t-test with df = 18 d) t-test with df = 16

Explanation / Answer

10) To examine the effectiveness of promotional campaign , t test will be used.

degrees of freedom df=n1+n2-2=7+7-2=12

option b is correct

11)To find whether there is any difference in the average gas mileage

t test is used, degrees of freedom n1+n2+n3-3=5+5+5-3=12

option b is correct

12) for alpha=0.05

ndf=7 and ddf=3

F value =27.67

option d

13) For the equity of two population variance F test is used

n1=8,n2=10 df1=n1-1=7; df2=n2-1=10-1=9;

F test with 7 and 9 degrees of freedom

option b