A population of values has a normal distribution with μ = 181.7 and σ = 81.6. You intend to draw a random sample of size n = 12. Find the probability that a single randomly selected value is greater than 115.7. P(X > 115.7) = Find the probability that a sample of size n = 12 is randomly selected with a mean greater than 115.7. P(M > 115.7) = 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.
Added by Brittany W.
Step 1
7 to a z-score. The z-score is calculated as (X - μ) / σ, where X is the value we are interested in, μ is the mean, and σ is the standard deviation. For the first part of the question, we are looking at a single randomly selected value, so we use the population Show more…
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