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7. Sampling Distributions & Confidence Intervals: Mean
7. Sampling Distributions & Confidence Intervals: Mean / Confidence Intervals for Population Mean / Problem 14
Problem 14

A survey records the time, in minutes past 7:007:00 A.M., that a random sample of 3030 students wake up for an early class. The population standard deviation is known to be 2525 minutes. Calculate the point estimate of the population mean, μ\mu, and the margin of error for a 90%90\% confidence interval.
60  75  90  85  70  65  80  95  100  6085  90  75  80  70  65  90  100  85  8075  70  65  60  95 100  85  80  75  70\begin{gathered}60~~75~~90~~85~~70~~65~~80~~95~~100~~60\\85~~90~~75~~80~~70~~65~~90~~100~~85~~80\\75~~70~~65~~60~~95~100~~85~~80~~75~~70\end{gathered}