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CQMS202TestOneReviewQuestions(Winter2013).doc

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Department
Quantitative Methods
Course
QMS 202
Professor
Jason Chan
Semester
Winter

Description
Question 1Ryerson Automobile Insurance Company wants to estimate the mean time it takes forworkers who are employed in downtown Toronto to get to work A sample of 10 workersreveals the following number of minutes traveled38 3321 453457 46 622540It is known that the time it takes for all workers who are employed in downtown Toronto to get to work is normally distributed a Determine the critical values of a 915 confidence interval for the mean time it take for all workers who are employed in downtown Toronto to get to workb Construct a 915 confidence interval for the mean time it take for all workers who are employed in downtown Toronto to get to work Interpret the resultQuestion 2In order to estimate the marketing officers dinner expenses when out of town on business the office accountant took a random sample of dinner meal receipts and obtained the following results23803650287521303060249026003150242527202780345021552140306025402280314025252690It is known that the data of dinner expenses are normally distributeda Determine the point estimate of the population mean dinner expensesb Construct and interpret a 90 confidence interval estimate of the population mean dinner expensesc Construct and interpret a 98 confidence interval estimate of the population proportion of marketing officers who spent at least 3000 for dinnerd Assume that the sample standard deviation is an accurate estimate of the population standard deviation how large a sample of dinner expense receipts would need to be taken in order to estimate the average expense to within 60 cents with 935 confidenceQuestion 3Ben a medical statistician wants to estimate the average weight loss for people who are on a new diet plan In a preliminary study he guesses that the standard deviation of the population of weight losses is about 4 kilograms How large a sample should he take to estimate the mean weight loss to within 950 grams with 915 confidence1Question 4Financial institutions rely on credit bureaus to provide data for the scorecards that thoseinstitutions use to make loan decisions Ryerson Bank was recently encounteringproblems and wondered whether they were receiving accurate reports With the approval of the credit bureau the bank appointed an auditor In the past month the bank requested information about 3745 individuals The auditor randomly sample 80 of these found 7 with errorsaConstruct 97 confidence interval estimate of the proportion of individual accounts with errorsbConstruct 91 confidence interval estimate of the proportion of individual accounts with no errorQuestion 5A computer desk manufacturer in Brampton sampled its production and found the following results of Defects0123456 of desks983828181440Determine and interpret a a 90 confidence interval estimate of the proportion of computer desks that have at least 2 defects b 95 confidence interval estimate of the proportion of computer desks that have at most 3 defects c 98 confidence interval estimate of the proportion of computer desks that have more than 1 defectQuestion 6The Ryerson Animal Shop in downtown Toronto interested to estimate the proportion of adults that have a cat as a pet If the shop wanted the estimate to be within 15 of the population proportion how many adults would they need to contact if the shop estimated that 35 of the adults have a cat as a pet Use a 974 confidenceQuestion 7Ryerson Marketing Inc wants to estimate the mean cell phone bills of female working professionals in downtown Toronto for the month of March 2010 Based on studies in all cities across Canada the standard deviation was2985 The company wants to estimate the mean cell phone bills for the month of March 2010 within 3 and 964 confidence What sample size is needed2
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