Among a random sample of 150 employees of a particular company, the mean commute distance is 28.1 miles. This mean lies 0.7 standard deviations below the mean of the sampling distribution. If a second sample of 150 employees is selected, what is the probability that for the second sample, the mean commute distance will be at least 28.1 miles?
A) 0.7580
B) 0.5000
C) 0.2420
D) 0.2743

Question

Quizplus · Accepted Answer

The mean of the first sample is 0.7 standard deviations below the mean of the sampling distribution. Therefore, the probability that the second sample mean will be at least 28.1 miles is the probability of being above -0.7 standard deviations, which corresponds to a Z-score of 0.7. The probability of a Z-score being greater than -0.7 is 0.7580.

Among a Random Sample of 150 Employees of a Particular