A random sample of size 36 is taken from a population with mean and standard deviation . Refer to Exhibit 7-5.What is the expected value and the standard deviation for the sampling distribution of the sample mean?
A)Option A
B)Option B
C)Option C
D)Option D

Question

A random sample of size 36 is taken from a population with mean  and standard deviation  . Refer to Exhibit 7-5.What is the expected value and the standard deviation for the sampling distribution of the sample mean? 
A)Option A 
B)Option B 
C)Option C 
D)Option D

Quizplus · Accepted Answer

Expected value of the sampling distribution of the sample mean = population mean = μ = 11
Standard deviation of the sampling distribution of the sample mean = population standard deviation / square root of sample size = σ / sqrt(n) = 3.17 / sqrt(36) = 0.53

Thus, the correct option is C.

A Random Sample of Size 36 Is Taken from a Population