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A population of values has a normal distribution with μ=207.5μ=207.5 and σ=35.2σ=35.2. You intend to draw...

A population of values has a normal distribution with μ=207.5μ=207.5 and σ=35.2σ=35.2. You intend to draw a random sample of size n=250n=250.

Find the probability that a single randomly selected value is between 202.8 and 213.1.
P(202.8 < X < 213.1) =

Find the probability that a sample of size n=250n=250 is randomly selected with a mean between 202.8 and 213.1.
P(202.8 < ¯xx¯ < 213.1) =

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

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