QUESTION 1 A If Y has a normal distribution with a mean of 3

QUESTION 1

A) If Y has a normal distribution with a mean of 32 and a standard deviation of 12, and you take samples of size 9, the sampling distribution of the sample mean will also be a normal distribution. Find the probability that the sample mean would be less than 40, to three decimal places. [Hint: Use the correct z-score calculation. This is a sampling distribution problem.]

B) A skills test used by a recruiter for a company has a mean score of 77 and a standard deviation of 11. What would be the standard deviation of the sampling distribution of the sample mean if samples of size 73 were taken? Round your answer to three decimal places.

Solution