EC315_HW3_Jamie_Boyer

EC315_HW3_Jamie_Boyer - Jamie Boyer Week 3 Homework Chapter...

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Jamie Boyer Week 3 Homework Chapter 9 37. The National Collegiate Athletic Association (NCAA) reported that the mean number of hours spent per week on coaching and recruiting by college football assistant coaches during the season was 70. A random sample of 50 assistant coaches showed the sample mean to 68.6 hours, with a standard deviation of 8.2 hours. a. Using the sample data, construct a 99 percent confidence interval for the population mean. Since sample size is large, we can use z-distribution. Z(0.01/2) = Z(0.005) = 3.3, so 99% confidence interval is (68.6-Z(0.005)*8.2/sqrt(50), 68.6+Z(0.005)*8.2/sqrt(50)) = (64.77, 72.43) b. Does the 99 percent confidence interval include the value suggested by the NCAA? Interpret the result. Yes. It means that the conclusion that the mean number of hours spent per week on coaching and recruiting by college football assistant coaches during the season is 70 is correct. c. Suppose you decide to switch from a 99 to a 95 percent confidence interval. Without performing any calculation, will the interval increase, decrease, or stay the same?
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