BFS1024STATISTICS FOR FINANCETutorial 8 – Hypothesis Testing IIQuestion 1Management of a hotel was concerned with increasing return rate for hotel guests. Oneaspect of first impressions y guests relates to the time it takes to deliver the guest’sluggage to the room after check-in to the hotel. A random sample of 20 deliveries on aparticular day were selected in Wing A of the hotel and a random sample of 20 deliverieswere selected in Wing B. Analyze the data and determine whether there is a difference inthe mean delivery time in the two wings of the hotel (use = 0.05).Wing A10.709.8911.839.049.3711.688.369.7613.678.969.5110.8510.5711.068.9111.7910.599.1312.379.91Wing B7.206.689.298.956.618.538.927.957.576.388.8910.039.305.289.239.258.446.5710.616.77Question 2The manager of computer operations of a large company wants to study computer usageof two departments within the company, namely the accounting department and theresearch department. A random sample of five jobs from the accounting and six jobsfrom the research department in the past week was selected and the processing time (
inminutes) for each job was recorded as follows:Processing Time (in minutes)DepartmentAccountingResearch938712413109916BFS1024STATISTICS FOR FINANCEa) Determine the proportion of jobs, which take more than 10 minutes for both samples.b) Is there evidence of a significant difference between the accounting department andthe research department with regards to the proportion of jobs, which take more than10 minutes? Use a 5% significance level.c) What is the p-value for the above test?Question 3The weekly wage amounts, in RM of the random sample of 15 employees who do havean overtime payment are given in the following table.70166140151133200200118132125165137210137140a) Determine the unbiased point estimates of the mean and the standard deviation for theabove sample. [Round your answer to two decimal places.]b) The weekly wage of the sample of 75 employees who do not have an overtimepayment have a mean of 140 and a standard deviation of 32. At the 5% level ofsignificance, is there evidence that the weekly wage of employees who have overtimeis earning more than those who don’t have overtime?2