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(Solved): A population of values has a normal distribution with \( \mu=107.2 \) and \( \sigma=22.5 \). You in ...




A population of values has a normal distribution with \( \mu=107.2 \) and \( \sigma=22.5 \). You intend to draw a random samp
A population of values has a normal distribution with \( \mu=107.2 \) and \( \sigma=22.5 \). You intend to draw a random sample of size \( n=76 \). Find the probability that a single randomly selected value is less than 103.3. \( P(x<103.3)= \) Round your answer to 4 decimal places. Find the probabilitv that a sample of size \( n=76 \) is randomly selected with a mean less than 103.3. \( P(\bar{x}<103.3)=\quad \) Round your answer to 4 decimal places. Enter your answers as numbers accurate to 4 decimal places.


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From the given information ?=107.2 and ? =22.5 a) P(X < 103.3) = P(x-?< 103.3 - 107.2) =p[(x-?)/? < (103.3 - 107.2)/22.5
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