The ages of employees at a particular company have a mean of 39. The distribution of sample means for samples of size 200 is normal with a mean of 39 and a standard deviation of 0.79.
Suppose you take a sample of size 200 employees from the company and find that their mean age is 41.3. How many standard deviations is the sample mean from the mean of the sampling distribution?
A) 2.3 standard deviations above the mean
B) 2.9 standard deviations above the mean
C) 41.2 standard deviations above the mean
D) 3.2 standard deviations above the mean

Question

Quizplus · Accepted Answer

The sample mean is 41.3, the population mean is 39, and the standard deviation of the sampling distribution is 0.79. The number of standard deviations is calculated as (41.3 - 39) / 0.79 = 2.9.

The Ages of Employees at a Particular Company Have a Mean