For a normal population with µ = 40 and σ = 10,which of the following samples has the highest probability of being obtained?
A)M ≤38 for a sample of n = 4
B)M≤ 36 for a sample of n = 4
C)M ≤38 for a sample of n = 100
D)M 36 for a sample of n = 100

Question

Quizplus · Accepted Answer

The standard error is larger for smaller samples, making it more likely to obtain sample means further from the population mean. Thus, M ≤ 38 for n = 4 is more probable than M ≤ 36 for n = 4.

For a Normal Population with µ = 40 and σ