# Badarinarayanan_Thirdexam w2 - Problem 1 2 3 4 5 6 7 8...

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Problem Value Earned 1 12 2 12 3 12 4 12 5 12 6 12 7 13 8 15 Total 100 0 1) In new housing developments, it is sometimes difficult to get utilities (water, electricity, natural gas) installed in a timely fashion. Your firm is considering investing in a new development which can finish housing construction in 90 days. A random sample of the times (in days) from the request for service connection to the time of service completion yielded the following data: 114 78 96 125 150 103 mean 117 126 86 std 99 114 110 num 104 73 86 alpha Is this data consistent with the hypothesis that on average it takes 90 days from request to connection of utility service? Use the 5% level of significance. sample mean 105.4 sample SD 20.34 sample size 15 alpha 0.05 Ho : On average it takes 90 days from request to connection of utility service Ha: The data is not consistent with the hypothesis that on average it takes 90 days fro Plugging in the values in the template Template for Confidence Interval for the Population Mean Sample Sample Sample Mean SD n alpha Enter ===> 105.4 20.34 15 0.05 Confidence Interval is 94.14 to 116.66

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If population size is known enter here === 0 New Confidence inter NA to NA Conclusion: The value 90 is not within the confidence interval .So this data IS NOT co that on average it takes 90 days from request to connection of utility service
105.4 20.34 15 0.05 rom request to connection of utility service

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onsistent with the null hypothesis
2) An auditor for a government agency is assigned the task of evaluating reimbursement for office visits to doctors paid by Medicare. The audit is to be conducted for all Medicare payments in a specific geographical area during a certain month. In that area and for that month there were so many visits that the number is too large to process in a timely manner. Accordingly, the auditor decides to take a random sample from these visits. She wishes to estimate ther average Medicare payment to within \$4.00 with a confidence of 95%. How large a sample should she take? In a preliminary sample of size 30, she found that the standard deviation of Medicare payments was \$35.42. Confidence level 0.95 Desired Confidence interval 4 sample standard deviation 35.42 plugging the values in the template Basic Sample Size Computation For the Mean from a Single Sample Enter Standard Deviation =====> 35.42 Enter desidered +/- figure for confidence interval =====> 4 Enter desired confidence Level =====> 0.95 Required Sample Size n = 302 Enter Population Size =====> 0 Required Sample Size for a Finite Population n = 302 Conclusion: The sample size should be 302

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3) The marketing branch of the Mexican Tourist Office would like to increase the proportion of tourists who purchase silver jewelry while vactioning in Mexico from its present value of 40%. Toward this end, promotional literature describing both the beauty and value of the jewlery is prepared and distributed to all passengers on airplanes arriving at a certain seaside resort during a one week period. A random
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## This note was uploaded on 10/02/2011 for the course MIS 6312 taught by Professor Wiorkowski during the Spring '11 term at University of Texas at Dallas, Richardson.

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Badarinarayanan_Thirdexam w2 - Problem 1 2 3 4 5 6 7 8...

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