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Probability of obtaining certain sample scores in a normal

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November 8th, 2022

For a normal population with µ = 100 and σ = 20 find the following.

(a) What is the probability of obtaining a sample mean greater than 110 for a sample of n = 4 scores?
z = ____
p = ____

(b) What is the probability of obtaining a sample mean greater than 110 for a sample of n = 16 scores?
z = ____
p = ____

(c) For a sample of n = 25 scores, what is the probability that the sample mean will be within 5 points of the population mean? In other words, what is p(95 < M < 105)?
z = ____
p = ____

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