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Week3HW

Week3HW - QRM EC315 Week 3 Homework Chapter 9 Question 37...

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QRM EC315 Week 3 Homework Chapter 9, Question 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 (68.6-2.68)*8.2/sqrt(50), (68.6+2.68)*8.2/sqrt(50) = (65.49, 71.71) 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.

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Week3HW - QRM EC315 Week 3 Homework Chapter 9 Question 37...

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