To estimate the average service time at a hamburger fast-food restaurant, a management

consultant noted the times that it took for 35 counter persons, a random sample, to complete a

standard order. It took, on average, 72.2 seconds with a standard deviation of 12.8 seconds to

complete the orders.

a)

What can the consultant assert with 95% confidence about the maximum error, if he uses

X bar = 72.2 seconds as an estimate of the true average time to complete a standard order?

b)

Construct a 95 percent confidence interval for the true average time that it takes a counter

person to complete the standard order/