A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is _____.
A) 0
B) .0495
C) .4505
D) None of the answers is correct.

Question

Quizplus · Accepted Answer

The standard error of the mean is 21/sqrt(49) = 3. The z-score for a sample mean of 57.95 is (57.95 - 53) / 3 = 1.65. The probability of a z-score greater than 1.65 is approximately 0.0495.

A Population Has a Mean of 53 and a Standard