Suppose that a researcher is interested in estimating the mean systolic blood pr

Question

Suppose that a researcher is interested in estimating the mean systolic blood pressure, mu, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate mu. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26 mm Hg, what is the minimum sample size needed for the researcher to be 90% confident that his estimate is within 3 mm Hg of mu? 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 whole number that satisfies the requirements). (If necessary, consult a list of formulas)

Explanation / Answer

THe margin of error = 3 mm HG
The Z value for 90% CI is 1.645
The standard dev is 26 mm HB

The sample size required is ?

We know the formula

Margin of error = Z*Sigma/sqrt(n)

n = (Z*Sigma/MOE)^2
= (1.645*26/3)^2 = 203.2525

or 203 to round off according to question rules

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