A simple random sample of 45 elements has been selected from a population of size 800. The sample mean is 500, and the sample standard deviation is 60. The standard error of the mean is
A) 8.9
B) 62.7
C) 1.6
D) 8.7

Question

Quizplus · Accepted Answer

The standard error of the mean (SEM) is calculated using the formula SEM = s / √n, where s is the sample standard deviation and n is the sample size. Plugging in the values given: SEM = 60 / √45 ≈ 8.95, which rounds to 8.9, but since that option is not available, the closest provided option is 8.7.

A Simple Random Sample of 45 Elements Has Been Selected