You may need to use the appropriateappendix tableortechnologyto answer this question.

Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system.However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variablex) and actual waiting time (in minutes) (dependent variabley). The estimated regression equation is:= 4.35 + 8.81x

andMSE = 94.42.

(a)

Develop a point estimate (in min) for a customer who arrives witheightpeople on the wait-list. (Round your answer to two decimal places.)

^*=min

(b)

Develop a 95% confidence interval for the mean waiting time (in min) for a customer who arrives witheightcustomers already in line. (Round your answers to two decimal places.)

min tomin

(c)

Develop a 95% prediction interval for Roger and Sherry Davy's waiting time (in min) if there areeightcustomers in line when they arrive. (Round your answers to two decimal places.)

min tomin

(d)

Discuss the difference between part (b) and part (c).

The prediction interval is much

wider

narrower

than the confidence interval. This is because it is

---Select---

more

less

difficult to predict the waiting time for an individual customer arriving witheightpeople in line than it is to estimate the mean waiting time for a customer arriving witheightpeople in line.