A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the female in the household rather than the male in the household. A coupon book was sent addressed at random to either the
male or female in a random sample of 50 male-female households. A month later, a coupon book was sent
to the other member of the pair. The manufacturer found that the mean difference (female – male) in the
number of coupons redeemed was 3.5 with a standard deviation of 4.75. Do these data provide convincing
evidence that the mean number of coupons redeemed is greater when the coupons were addressed to a
female?