A class survey in a large class for first-year college students asked, \"About h

Question

A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 473 students was x ¯ ¯ ¯ x¯ = 14 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation 8 hours in the population of all first-year students at this university.

What is the 99% confidence interval ( ± ± 0.001) for the population mean? Confidence interval is from ________ to ______hours.

PROVIDE YOUR ANSWER AS FILL THE BLANK

Explanation / Answer

99% C.I. lower =14-ABS(NORMSINV(0.01/2))*(8/SQRT(473)) 13.05251 upper =14+ABS(NORMSINV(0.01/2))*(8/SQRT(473)) 14.94749

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