Exhibit 7-5
Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8.
-Refer to Exhibit 7-5. The mean and the standard deviation of the sampling distribution of the sample means are
A)8.7 and 1.94
B)36 and 1.94
C)36 and 1.86
D)36 and 8

Question

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample means is the same as the mean of the population, which is 36. 
The standard deviation of the sampling distribution of the sample means is calculated by dividing the population standard deviation by the square root of the sample size: 
$ \frac{8}{\sqrt{17}} \approx 1.86$
Therefore, the correct answer is C.

Exhibit 7-5 Random Samples of Size 17 Are Taken from a Population