Posted: July 1st, 2023

North Alabama -QM 291 -The administrator of a physical therapy facility

1;The administrator of a physical therapy facility has found that postoperative performance scores on a knee flexibility test have tended to follow a normal distribution with a standard deviation of 4. For a simple random sample of ten patients who have recently had knee surgery, the scores are as follows;101,92,94,88,52,93,76,84,72, and 98.Construct and interpret the 90% and 95% confidence intervals for the population mean,2; The service manager of Appliance Universe has recorded the times for a simple random sample of 50 refrigerator service calls taken from last year's service records. The sample mean and standard deviation were 25 minutes and 10 minutes, respectively.a. Construct and interpret the 95% confidence interval for the meanb.It's quite possible that the population of such times is strongly skewed in the positive direction- that is,some jobs, such as compressor replacement, might take 3 or 4 hours. If this were true, would the interval constructed in part (a) still be appropriate? Explain your answer.3;based on a pilot study, the population standard deviation of scores for U.S. high school graduates taking a new version of an aptitude test has been estimated as 3.7. points. If a larger study is to be undertaken, how large a simple random sample will be necessary to have 99% confidence that the sample mean will not differ from the actual population mean by more than 1.0 point?

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