a) You want to obtain a sample to estimate the average number of hours per week community college students in the United States work at their job while being a full-time student. Based on previous evidence, you believe the population standard deviation is 10. You would like to be 99% confident that your estimate is within 2.5 hours of the true population mean. Assume that the number of statistics students is unknown, but very large. How large of a sample size is required?

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a) You want to obtain a sample to estimate the average number of hours per week community college students in the United States work at their job while being a full-time student. Based on previous evidence, you believe the population standard deviation is 10. You would like to be 99% confident that your estimate is within 2.5 hours of the true population mean.

Assume that the number of statistics students is unknown, but very large. How large of a sample size is required? 

b) You want to obtain a sample to estimate the average number of hours per week ACM students work at their job while being a full-time student. Based on previous evidence, you believe the population standard deviation is 10. You would like to be 99% confident that your estimate is within 2.5 hours of the true population mean.

Assume that the number of students at ACM is 2800 students. How large of a sample size is required? 

c) You want to obtain a sample to estimate the average number of hours per week ACM Statistic students work at their job while being a full-time student. Based on previous evidence, you believe the population standard deviation is 10. You would like to be 99% confident that your estimate is within 2.5 hours of the true population mean.

Assume that the number of ACM Statistics students at ACM is 250 students. How large of a sample size is required? 

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