Among a random sample of 150 employees of a particular company, the mean commute distance is 29.6 miles. This mean lies 1.2 standard deviations above 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 less than 29.6 miles?
A) 0.8849
B) 0.5
C) 0.1131
D) 0.1151

Question

Quizplus · Accepted Answer

The mean of the first sample is 1.2 standard deviations above the mean of the sampling distribution. Therefore, the probability that the second sample mean is less than 29.6 miles is the probability of being below 1.2 standard deviations above the mean, which is approximately 0.8849.

Among a Random Sample of 150 Employees of a Particular