Posted: December 31st, 2023

BFS1024 STATISTICS FOR FINANCE

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

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