6. Suppose you know that the population standard deviation of a characteristic of interest is….

Question

Suppose you know that the population standard deviation of a characteristic of interest is 13.6. What sample size would be required to estimate the population mean with an error that is less than 5 with 99% confidence?

Answer 1

MOE = z(σ/√n)

5 = 2.807(13.6/√n)

5 = 38.1752/√n

√n = 38.1752/5

√n = 7.63504

n ≈ 58.23984

n = 59

Therefore, you would need a sample size of at least n=59 to estimate the population mean with an error that is less than 5 with 99% confidence.

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