# Probability of obtaining certain sample scores in a normal

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 = ____

https://brainmass.com/statistics/probability/probability-of-obtaining-certain-sample-scores-in-a-normal-278879

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