A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is _____.
A) 0.1359
B) 0.8185
C) 0.3413
D) 0.4772

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean will have a mean of 180 and a standard deviation of 24/√64 = 3. The Z-scores for 183 and 186 are (183-180)/3 = 1 and (186-180)/3 = 2, respectively. The probability of a Z-score between 1 and 2 is 0.1359.

A Population Has a Mean of 180 and a Standard