SOLUTION: Please help me solve this problem, based on the examples in the book, I can't figure it out. Scores on a particular test have a mean of 64.6. The distribution of sample means for

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Question 664710: Please help me solve this problem, based on the examples in the book, I can't figure it out.
Scores on a particular test have a mean of 64.6. The distribution of sample means for samples of size 100 is normal with a mean of 64.6 and a standard deviation of 1.9. Suppose you take a sample of size 100 of test scores and find that the mean is 63. What is the z-score corresponding to this sample mean?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Scores on a particular test have a mean of 64.6. The distribution of sample means for samples of size 100 is normal with a mean of 64.6 and a standard deviation of 1.9. Suppose you take a sample of size 100 of test scores and find that the mean is 63. What is the z-score corresponding to this sample mean?
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z(63) = (63-64.6)/1.9 = -0.8421
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Cheers,
Stan H.