The manager of a pizza shop finds that the delivery time of pizza to customer follows a normal distribution with population mean of µ minutes and population standard deviation of 8 minutes. The manager randomly selects 18 orders and marks down the delivery time (in minutes) as below: 13 18 22 24 24 26 26 27 28 28 29 30 30 31 32 35 38 (a) Find the sample mean, median and mode of the above data. (b) Find the point estimate of p (c) Another survey will be conducted for the construction of the 99% confidence interval estimate of µ. Find the least number of orders to be selected so that the sampling error of the 99% confidence interval estimate of µ is less than 2.5 minutes. SO

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