How would I solve this problem. A researcher wishes to estimate the mean height of women aged between 60 and 65 in the U. S. She desires a margin of error of 0.3 inches. Past studies suggest that a population standard deviation of 3.3 inches is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.

Question

Mathematics

Deja Ellison

4 September, 21:02

How would I solve this problem. A researcher wishes to estimate the mean height of women aged between 60 and 65 in the U. S. She desires a margin of error of 0.3 inches. Past studies suggest that a population standard deviation of 3.3 inches is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.

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Phoenix Luna · Answer 1

465

Step-by-step explanation:

Margin of error = critical value * standard error

ME = CV * SE

Assuming 95% confidence, CV = z = 1.96.

Standard error is:

SE = σ / √n

SE = 3.3 / √n

Given margin of error of 0.3:

0.3 = 1.96 * 3.3 / √n

n = 465