Question

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 19 traditional paper-coupon clippers had a mean age of 33.4 with a standard deviation of 9.5. The sample of 35 e-coupon users had a mean age of 41.5 years with a standard deviation of 5.6. 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.) Degrees of freedom: _ 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.) Reject H0 if t< or t> Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the test statistic:________

          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 19 traditional paper-coupon clippers had a mean age
of 33.4 with a standard deviation of 9.5. The sample of 35 e-coupon
users had a mean age of 41.5 years with a standard deviation of
5.6. 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.)
Degrees of freedom: ___________
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.)
Reject H0 if t< ________ or t> ______
Compute the value of the test statistic. (Negative
amount should be indicated by a minus sign. Round your answer to 2
decimal places.)
Value of the test statistic:________________

Added by Kimberly T.

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