Question 2 [5 marks] A hospital is trying to cut down on emergency room waiting times. It is interested in the amount of

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Question 2 5 Marks A Hospital Is Trying To Cut Down On Emergency Room Waiting Times It Is Interested In The Amount Of 1 (130.56 KiB) Viewed 33 times

Question 2 [5 marks] A hospital is trying to cut down on emergency room waiting times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed 40 patients. The sample mean was 1.5 hours with a sample standard deviation of 0.5 hours. Excel Output 1 X Function Arguments CONFIDENCET Alpha 0.02 Standard dev 0.5 Size - 0.02 =0.5 = 40 -0.191779602 Returns the confidence interval for a population mean, using a Student's T distribution Size is the sample size. Formula result - 0.191779602 Help on this function OK Cancel 2.1 What is the confidence level? [1] 2.2 Based on Excel Output 1, What does the value 0.192 (correct to 3 decimals) repre- sent. [1] 2.3 Construct a confidence interval for the average time spent waiting on emergency [2] room. 2 2.4 If a sample of 35 patients are used in the study, explain what the effect on the width of the interval will be; and hence on the precision of the interval estimate. [1] Question 3 [4 marks] A Supermarket manager want to estimate time spend by customers when doing their purchases. He observed the entry and departure times of 86 randomly selected cus- tomers from the supermarket. The sample mean time was found to be 27.9 minutes. Assume a population standard deviation of 10.5 minutes and that shopping time is approximately normally distributed. Construct 90% confidence interval for the actual time spend by customers doing their shopping. Interpret your answer.