Question: Given a normal distribution with = 25 and = 5, if you select a sample size of 16, what is the probability that X is

Given a normal distribution with = 25 and = 5, if you select a sample size of 16, what is the probability that X is

1) 47% of all samples will have a sample average below what value?

Ans: 47th percentile has a z-score of -0.075, therefore X < 25 0.075 1.25 = 24.91

what does the 47 percentile mean? and why isit X<25-0.075 x 1.25

how do i derive < 25, -0.075 and why x 1.25

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