To estimate the mean height μμ of male students on your campus, you will measure an...
To estimate the mean height μμ of male students on your campus, you will measure an SRS of students. You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. You want your sample mean x⎯⎯⎯x¯ to estimate μμ with an error of no more than one-half inch in either direction.
(a) What standard deviation must x⎯⎯⎯x¯ have so that 95% of all
samples give an x⎯⎯⎯x¯ within one-half inch of μμ? (Use the
68-95-99.7 rule.)
(b) How large an SRS do you need to reduce the standard deviation
of x⎯⎯⎯x¯ to the value you found in part(a)?
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