Question: An advertising study interviewed six randomly selected people in each of two cities, recording each person's level of preference for a new product (Table).
a. Is this a paired or an unpaired two-sample problem?
b. Find the average preference level for each city.
c. Find the standard error of the difference between these average preference levels. (Note that these are small samples.)
d. Find the 95% two-sided confidence interval for the mean difference in preference between these two cities (Green Bay minus Milwaukee).
e. Test whether the apparent difference in preference is significant at the 5% test level.
