Question

A population of values has a normal distribution with μ = 177.5 μ = 177.5 and σ = 14.5 σ = 14.5 . You intend to draw a random sample of size n = 166 n = 166 . Find the probability that a single randomly selected value is between 179 and 180.1. P(179 < X < 180.1) = Find the probability that a sample of size n = 166 n = 166 is randomly selected with a mean between 179 and 180.1. P(179 < M < 180.1) = 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.

Answer 1