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The average score of all pro golfers for a particular course has a mean of 70...

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71.

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Answer #1

Let denotes the average score of 36 golfers played the course today.

Since sample size is large enough ( > 30), we can approximate the sampling distribution of sample mean by normal distribution.

So, we can write

or

Now,

The probability that the average score of the 36 golfers exceeded 71

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