A population of values has a normal distribution with μ = 225.4 μ = 225.4 and σ = 38.7 σ = 38.7 . You intend to draw a random sample of size n = 13 n = 13 . Find the probability that a single randomly selected value is greater than 252.2. P(X > 252.2) = Find the probability that a sample of size n = 13 n = 13 is randomly selected with a mean greater than 252.2. P(M > 252.2) = 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.
Added by Erin D.
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2. The z-score is calculated as (X - μ) / σ, where X is the value we're interested in, μ is the mean, and σ is the standard deviation. So, the z-score for 252.2 is (252.2 - 225.4) / 38.7 = 0.693. We can then use a standard normal distribution table to find the Show more…
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