Random samples of size 36 are taken from an infinite population whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are
A)36 and 15
B)20 and 15
C)20 and 0.417
D)20 and 2.5

Question

Quizplus · Accepted Answer

The mean of the population is represented by μ = 20, and the standard deviation of the population is represented by σ = 15. The standard error of the mean is represented as σ/√n, where n is the sample size. In this case, n = 36. Therefore, the standard error of the mean is:

σ/√n = 15/√36 = 15/6 = 2.5

So, the mean of the sample is 20, and the standard error of the mean is 2.5. Therefore, the best choice is D.

Random Samples of Size 36 Are Taken from an Infinite