Chapter 10, Problem 63PS

Do social shoppers differ other online consumers with respect to spending behaviour? A study of browser-based shopping sessions reported that social shoppers, consumers who click away from social networks to retails sites or share an item on a social network, spent a mean of $\text{\$}126.12$ on a retail sit in a 30-day period compared to other online shoppers who spent a mean of $\text{\$115}\text{.55}$ . Suppose that the study consisted of 500 social shoppers and 500 other online shoppers and the standard deviation of the other value was $\text{\$40}$ for social shoppers and $\text{\$10}$ for other online shoppers. Assume a level of significance of 0.05.

a. Is There evidence of a difference in the variances of the other values between social shoppers and other online shoppers?

b. Is there evidence of a difference in the mean order value between social shoppers and other online shoppers?

C. Construct a $95\%$ confidence interval estimate for the difference in mean order value between social shoppers and other online shoppers.