A population of values has a normal distribution with u = 25.2 and o= 46.1. You intend to draw a random sample of size n = 80. Find the probability that a single randomly selected value is less than 25.2. P(X < 25.2) = Find the probability that a sample of size n= 80 is randomly selected with a mean less than 25.2. P(M< 25.2) = 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.

MATLAB: An Introduction with Applications
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A population of values has a normal distribution with \(\mu = 25.2\) and \(\sigma = 46.1\). You intend to draw a random sample of size \(n = 80\).

Find the probability that a single randomly selected value is less than 25.2.
\[ P(X < 25.2) = \text{\_\_\_\_} \]

Find the probability that a sample of size \(n = 80\) is randomly selected with a mean less than 25.2.
\[ P(M < 25.2) = \text{\_\_\_\_} \]

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.
Transcribed Image Text:A population of values has a normal distribution with \(\mu = 25.2\) and \(\sigma = 46.1\). You intend to draw a random sample of size \(n = 80\). Find the probability that a single randomly selected value is less than 25.2. \[ P(X < 25.2) = \text{\_\_\_\_} \] Find the probability that a sample of size \(n = 80\) is randomly selected with a mean less than 25.2. \[ P(M < 25.2) = \text{\_\_\_\_} \] 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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