Solve the problem. Round your answer to one decimal place, if necessary.
-The distribution of sample means for the ages of employees at a particular company for samples of 200 employees is normal with a mean of 39 and a standard deviation of 0.62. Suppose you take a random sample of 200 employees from the company and find that their mean age is 39.8. How many standard deviations is the sample mean from the mean of the sampling distribution?
A)1.3 standard deviation(s)above the mean
B)0.8 standard deviation(s)above the mean
C)18.2 standard deviation(s)above the mean
D)1.4 standard deviation(s)above the mean

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Quizplus · Accepted Answer

The z-score is calculated as (sample mean - population mean) / standard deviation = (39.8 - 39) / 0.62 = 1.3.

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