11.48 It was hypothesized that the number of bottles of craft beer sold per evening in the restaurants of a city depends linearly on the average costs of meals in the restaurants.

The following results were obtained for a sample of n = 17 restaurants, of approximately equal size, where y = number of bottles sold per evening x = average cost, in dollars, of a meal x = 25.5 y = 16.0 a

n i=1 1xi - x22 n - 1

= 350 a

n i=1 1xi - x21yi - y2 n - 1

= 180 a1yi - y22 n - 1

= 250 Compute a 95% prediction interval and a 95% confidence interval for the number of bottles of beer sold when the average cost of a meal is $27.