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A population of values has a normal distribution with μ=170μ=170 and σ=58σ=58. You intend to draw...

A population of values has a normal distribution with μ=170μ=170 and σ=58σ=58. You intend to draw a random sample of size n=129n=129.


Find the probability that a single randomly selected value is between 156.7 and 157.2.
P(156.7 < X < 157.2) =

Find the probability that a sample of size n=129n=129 is randomly selected with a mean between 156.7 and 157.2.
P(156.7 < M < 157.2) =

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.

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