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 sample mean will be between 183 and 186 is
A)0.1359
B)0.8185
C)0.3413
D)0.4772

Question

Quizplus · Accepted Answer

The probability that the sample mean will be between 183 and 186 is 0.1359. This is because the z-score for a sample mean of 183 is -0.58, and the z-score for a sample mean of 186 is 0.25. The area under the normal curve between these two z-scores is 0.1359.

A Population Has a Mean of 180 and a Standard