A population of values has a normal distribution with μ=60.4μ=60.4 and σ=98.4σ=98.4. You intend to draw a random sample of size n=17n=17.Normal CalculatorFind the probability that a single randomly selected value is greater than 12.7.P(X > 12.7) = Find the probability that a sample of size n=17n=17 is randomly selected with a mean greater than 12.7.P(M > 12.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted

Question
Asked Oct 28, 2019
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A population of values has a normal distribution with μ=60.4μ=60.4 and σ=98.4σ=98.4. You intend to draw a random sample of size n=17n=17.

Normal Calculator

Find the probability that a single randomly selected value is greater than 12.7.
P(X > 12.7) = 

Find the probability that a sample of size n=17n=17 is randomly selected with a mean greater than 12.7.
P(M > 12.7) = 

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted

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Expert Answer

Step 1

It is given that the mean and standard deviations are 60.4 and 98.4

Probability that the selected value greater than 12.7 can be obtained by entering the formula “=1-NORM.DIST(12.7,60.4,98.4,TRUE)” in EXCEL software.

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-1-NORM.DIST(12.7,60.4,98.4, TRUE) F G 0.686075316

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Step 2

The sample size is given as 17.

The z­-score of mean s...

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X - 12.7-60.4 98.4 17 -2

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