A population of values has a normal distribution with μ=14.8 and σ=6.5. You intend to draw a random sample of size n=131. Find the probability that a single randomly selected value is less than 13. P(X < 13) = Find the probability that a sample of size n=131 is randomly selected with a mean less than 13. P( ¯x < 13) = Enter your answers as numbers accurate to 4 decimal places. Answers should be obtained using z-scores correct to two decimal places.

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=14.8 and σ=6.5. You intend to draw a random sample of size n=131.

Find the probability that a single randomly selected value is less than 13.
P(X < 13) =

Find the probability that a sample of size n=131 is randomly selected with a mean less than 13. P( ¯x < 13) =

Enter your answers as numbers accurate to 4 decimal places. Answers should be obtained using z-scores correct to two decimal places.

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