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

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

    Suppose 100 golfers played the course today.

    Find the probability that the average score

    (a) Find the mean of the sampling distribution for the average score (sample mean) of 100 golfers. Round answer to the nearest integer. Do NOT include the zero before the decimal point.

          Mean = ____

    (b) Find the standard deviation of the sampling distribution for the average score (sample mean).
    Round answer to 1 decimal. Do NOT include the zero before the decimal point.

          Standard Deviation: ____

    (c) Is the sampling distribution of the average score (sample mean) approximately normal? Enter option A or B: ____

          A. No because the sample size is not large enough.

          B. Yes because the sample size is large enough.

    (d) What is the probability that the average (sample mean) of the 100 golfers exceeded 67?
    Round answer to 4 decimals. Do NOT include the zero before the decimal point.

          ____

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