A population of values has a normal distribution with μ=14.7μ=14.7 and σ=31.3σ=31.3. You intend to draw a random sample of size n=20n=20. Find the probability that a single randomly selected value is between 30.1 and 34.3. P(30.1 < X < 34.3) = Find the probability that a sample of size n=20n=20 is randomly selected with a mean between 30.1 and 34.3. P(30.1 < M < 34.3) =  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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A population of values has a normal distribution with μ=14.7μ=14.7 and σ=31.3σ=31.3. You intend to draw a random sample of size n=20n=20.

Find the probability that a single randomly selected value is between 30.1 and 34.3.
P(30.1 < X < 34.3) =

Find the probability that a sample of size n=20n=20 is randomly selected with a mean between 30.1 and 34.3.
P(30.1 < M < 34.3) = 

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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