Question: 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

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.

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