(Solved): Suppose that a researcher is interested in estimating the mean systolic blood pressure, , of exec ...

Suppose that a researcher is interested in estimating the mean systolic blood pressure, $?$, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate $?$. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is $24\mathrm{mm}\mathrm{Hg}$, what is the minimum sample size needed for the researcher to be $99\%$ conflident that his estimate is within $4\mathrm{mm}\mathrm{Hg}$ of $?$ ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whele number that satisfies the requirements). (If necessary, consult a fist of tormulas:)