A population of values has a normal distribution with μ=228.9μ=228.9 and σ=95.1σ=95.1. You intend to draw...

A population of values has a normal distribution with μ=228.9μ=228.9 and σ=95.1σ=95.1. You intend to draw a random sample of size n=160n=160.

Find the probability that a single randomly selected value is between 216.9 and 249.2.
P(216.9 < X < 249.2) =

Find the probability that a sample of size n=160n=160 is randomly selected with a mean between 216.9 and 249.2.
P(216.9 < M < 249.2) =

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.

Expert Solution

z table as follows:

orchestra answered 1 year ago

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