The Red Lobster restaurant chain regularly surveys its customers. On the basis of these surveys,
the management of the chain claims that 75% of its customers rate the food as excellent. A consumer
testing service wants to examine the claim by asking 460 customers to rate the food.
A. What is the expected value of the sample proportion, /bar (p), of customers that rate the food as
excellent? Also find the standard error of the /bar (p) ? (Keep your answers to four places after the
decimal no less).
(7 points)
B. What is the probability that between 72% and 79% rate the food as excellent? ( 18 points)
4. The Red Lobster restaurant chain regularly surveys its customers. On the basis of these surveys, the management of the chain claims that 75% of its customers rate the food as excellent. A consumer testing service wants to examine the claim by asking 460 customers to rate the food.
A. What is the expected value of the sample proportion, p , of customers that rate the food as
excellent? Also find the standard error of the p ? (Keep your answers to four places after the
decimal and do not round to two or three places only).
(7 points)
B. What is the probability that between 72% and 79% rate the food as excellent? (18 points)