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A population of values has a normal distribution with μ=179 and σ=22.7. You intend to draw a random sample of size n=35. Find the probability that a single randomly selected value from the population is greater than 186.7. P(X > 186.7) =  Find the probability that a sample of size n=35 is randomly selected with a mean greater than 186.7. P(M > 186.7) =

- November 14, 2022 - Edwin Tunner

A population of values has a normal distribution with μ=179 and σ=22.7. You intend to draw a random sample of size n=35.

Find the probability that a single randomly selected value from the population is greater than 186.7.

P(X > 186.7) = 

Find the probability that a sample of size n=35 is randomly selected with a mean greater than 186.7.

P(M > 186.7) = 

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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