The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 5. Find the mean of the sampling distribution for the average score (sample mean) of 144 golfers:...

The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 5.

Find the mean of the sampling distribution for the average score (sample mean) of 144 golfers: _____ (Round answer to the nearest integer.)

Find the standard deviation of the sampling distribution for the average score (sample mean)of 144 golfers:_____  (Round answer to four places after the decimal.)

Is the sampling distribution of the average score (sample mean) approximately normal?

No, because the sample size is not large enough.

Yes, because the sample size is large enough.

What is the probability that the average (sample mean) of the 144 golfers exceeded 67?   _______ (Round answer to four places after the decimal.)