Suppose an economist wishes to estimate the mean commute time, , of all people in the civilian labor force. Determine the sample size needed in order to be 95% confident that is within 5 years of the point estimate, x. Assume the population standard deviation , is 15.1 years.

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Suppose an economist wishes to estimate the mean commute time, , of all people in the civilian labor force. Determine the sample size needed in order to be 95% confident that is within 5 years of the point estimate, x. Assume the population standard deviation , is 15.1 years.

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Suppose a certain Statistics instructor wants to estimate the proportion of students who enjoy taking online courses. What sample size must be obtained in order to be 90% confident that the population proportion, p, is within a margin of error of at most 0.03 from the estimate, . 

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