Question

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=46.4. You would like to be 99% confident that your estimate is within 0.1 of the true population mean. How large of a sample size is required? [Do not round mid-calculation. However, use a critical value rounded to three decimal places — this is important for the system to check answers correctly.] n =

Answer 1

Solution :

Given that,

Population standard deviation = = 46.4

Margin of error = E = 0.1

Z_/2 = 2.576

sample size = n = [Z_/2* / E] ²

n = [2.576 * 46.4 / 0.1]²

n = 1428656.03

Sample size = n = 1428656