Given that the population standard deviation is 6.8, what sample size is required to be 90% confident that the estimated mean has an error less than 0.02?

Question

Quizplus · Accepted Answer

To find the sample size, use the formula for the sample size of a mean: n = (Z*σ/E)^2. For 90% confidence, Z is 1.645. Plugging in σ = 6.8 and E = 0.02, n = (1.645*6.8/0.02)^2 = 312,760.56, which rounds to 312,761.

Given That the Population Standard Deviation Is 6