SOLUTION: A set of 50 data values has a mean of 16 and a variance of 4. I. Find the standard score (z) for a data value = 12. II. Find the probability of a data value > 12.

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Question 456951: A set of 50 data values has a mean of 16 and a variance of 4.
I. Find the standard score (z) for a data value = 12.
II. Find the probability of a data value > 12.
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
I will assume that you're looking at the distribution of the sample means (which follows a normal distribution) of size 50.
In this case, is the standard score for a sample mean of 12.
Looking at the empirical rule for normal distributions, the probability is virtually 1 that a sample mean is greater than 12.
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