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 or electronic).
The sample of 25 traditional paper-coupon clippers had a mean age
of 40.0 with a standard deviation of 5.6. The sample of 35 e-coupon
users had a mean age of 34.6 years with a standard deviation of
11.2. Assume the population standard deviations are not the same.
Using a significance level of 0.02, test the hypothesis of no
difference in the mean ages of the two groups of coupon clients.
Hint: For the calculations, assume e-coupon as the first
sample.
Find the degrees of freedom for unequal variance test. (Round
down answer to nearest whole number.)
State the decision rule for 0.02 significance level: H0:
μe-coupon = μtraditional ; H1: μe-coupon ≠ μtraditional. (Negative
amounts should be indicated by a minus sign. Round your answers to
3 decimal places.)
Compute the value of the test statistic. (Negative amount should
be indicated by a minus sign. Round your answer to 2 decimal
places.)
Test the hypothesis of no difference in the mean ages of the two
groups of coupon clients.
