Problem 1. It has been found that time taken by people to navigate , nd, and complete a purchase order at an online bookstore follows a normal distribution , (We shall refer to this process as a connection.) A random sample of 45 connections gives a sample mean of 15.3 minutes with a sample standard deviation of 67 minutes (a) What is the probability that the estilnate of 15.3 minutes differs from the true average (pop ulation mean) by 2 minutes or more? (b) What would be the required sample size to ensure that the sample average differs from the true mean by less than 1 minutes with probability exceeding 95%? A -521