Question

If you are taking a random sample from a normal population with  = 50 and = 6,...

If you are taking a random sample from a normal population with  = 50 and = 6, which of the following outcomes is more likely: (a) a sample mean of greater than 54 for a sample of n = 8, or (b) a sample mean of greater than 52 for a sample of n = 56? Explain your answer by stating the probabilities associated with each outcome.

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Homework Answers

Answer #1

(A)

The following information has been provided:


We need to compute Pr(X≥54).

Therefore we get:


Excel Formula
1-NORM.DIST(54,50,2.12132034355964,TRUE)

(B)

The following information has been provided:


We need to compute Pr(X≥52).

Therefore we get:


Excel Formula
1-NORM.DIST(52,50,0.801783725737273,TRUE)

(C)

The first outcome (A) is more likely.

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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