Heights of male students, continued. To estimate the mean height of malestudents on your

Chapter 0, Problem 11.33

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Heights of male students, continued. To estimate the mean height of malestudents on your campus, you will measure an SRS of students. You know fromgovernment data that heights of young men are approximately Normal withstandard deviation about 2.8 inches. You want your sample mean x to estimate with an error of no more than one-half inch in either direction.(a) What standard deviation must x have so that 99.7% of all samples give an xwithin one-half inch of ? (Use the 689599.7 rule.)(b) How large an SRS do you need to reduce the standard deviation of x to thevalue you found in part (a)?

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