Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (either paper of electronic). The sample of 24

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Businesses such as general mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (either paper of electronic). The sample of 24 traditional paper-coupon clippers had a mean age of 62.0 with a standard deviation of 20.0. The sample of 35 e-coupon users had a mean age of 41.8 years with a standard deviation of 4.8. Assume the population standard deviations are not the same. Using a significance level of .02, test the hypothesis of no difference in mean ages of two groups of coupon clients.

a. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

b. Compute the p-value. Note: P-value calculators are available through online search. (Round your answer to 4 decimal places.)

c. Interpret the result  

The mean ages of e-coupon and traditional coupon users?

 

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