Question

The population standard deviation for the height of college basketball players is 2.9 inches. If we want to estimate a 99% confidence interval for the population mean height of these players with a 0.45 margin of error, how many randomly selected players must be surveyed

Answer 1

276

Explanation:

Given :

Standard deviation (σ) = 2.9 inches

Error margin (E) = 0.45

Confidence interval = 99%

Using the relation to obtain the sample size (n)

n = [(Zcrit * σ) / E]²

Zcritical at 99% confidence interval = 2.576

n = [(2.576 * 2.9) / 0.45]²

n = [7.4704 / 0.45]²

n = 16.600888^2

n = 275.58951

n = 276 samples

Sample size