A population of values has a normal distribution with draw a random sample of sizen = to 4 decimal places. 172.3 and o = 82. You intend to 228. Please show your answers as numbers accurate Find the probability that a single randomly selected value is greater than 179.9. P(X> 179.9) = Find the probability that a sample of size n = 228 is randomly selected with a mean greater than 179.9. P( > 179.9) =

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A population of values has a normal distribution with \( \mu = 172.3 \) and \( \sigma = 82 \). You intend to draw a random sample of size \( n = 228 \). **Please show your answers as numbers accurate to 4 decimal places.**

Find the probability that a single randomly selected value is greater than 179.9.

\[ P(X > 179.9) = \]

Find the probability that a sample of size \( n = 228 \) is randomly selected with a mean greater than 179.9.

\[ P(\bar{x} > 179.9) = \]
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 172.3 \) and \( \sigma = 82 \). You intend to draw a random sample of size \( n = 228 \). **Please show your answers as numbers accurate to 4 decimal places.** Find the probability that a single randomly selected value is greater than 179.9. \[ P(X > 179.9) = \] Find the probability that a sample of size \( n = 228 \) is randomly selected with a mean greater than 179.9. \[ P(\bar{x} > 179.9) = \]
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