In: Statistics and Probability
Zingo's Grocery store claims that customers spend an average of 5 minutes waiting for service at the stores deli counter. A random sample of 45 customers was timed at the deli counter, and the average service time was found to be 5.75 minutes. Historically the standard deviation for waiting time is 1.75 minutes per customer.
a. Find the 95% confidence interval for the mean time that customers wait at the deli counter.
b. Is there sufficient evidence to indicate that the mean time that a customer spends waiting at the deli counter is 5 minutes? Use α = .02 significance level .