For a normal population with µ = 100 and σ = 20:
a. What is the probability of obtaining a sample mean greater than 110 for a sample of n = 4 scores?
b. What is the probability of obtaining a sample mean greater than 110 for a sample of n = 16 scores?
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

Question

For a normal population with µ = 100 and σ = 20:
a. What is the probability of obtaining a sample mean greater than 110 for a sample of n = 4 scores?
b. What is the probability of obtaining a sample mean greater than 110 for a sample of n = 16 scores?
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)?

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The Answer of For a normal population with µ = 100 and σ = 20:
a. What is the probability of obtaining a sample mean greater than 110 for a sample of n = 4 scores?
b. What is the probability of obtaining a sample mean greater than 110 for a sample of n = 16 scores?
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)?

For a Normal Population with µ = 100 and σ