You should write down the mean and standard deviation for this problem.

You might see multiple versions of this problem,but mu and sigma will not change.

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Suppose we know with certainty a few facts aboutthe"Duration" of SturgillSimpson concerts.

We know the mean "Duration" is 105.19 minutes.

We also know the standard deviation for "Duration" is 16.48 minutes.

This summer, Sturgill is playing n = 47 concerts (presume unbiased).

We will model the sample mean for concert"Duration" with a Normal model.

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Determine the mean and standard deviation for they-bar model.

Round your SD to four decimal places.

Example SD:3.9495

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Question:

Summer's over, and the 47 concerts had an average "Duration" of 99.81 minutes.

Convert the sample mean to a z-score.

Round your answer to four decimal places.