SOLUTION: Very confused on problem...I would greatly appreciate your help and time...thanks a bunch A set of 50 data values has a mean of 28 and a variance of 4. I. Find the standard s

Question 494567: Very confused on problem...I would greatly appreciate your help and time...thanks a bunch
A set of 50 data values has a mean of 28 and a variance of 4.
I. Find the standard score (z) for a data value = 31.
II. Find the probability of a data value > 31.
III. Find the probability of a data value < 31.
Show all work.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A set of 50 data values has a mean of 28 and a variance of 4.
I. Find the standard score (z) for a data value = 31.
z(31) = (31-28)/4 = 3/4
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II. Find the probability of a data value > 31.
z(31) = 3/4
P(x > 31) = P(z > 3/4) = 0.2266
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III. Find the probability of a data value < 31.
P(x < 31) = 1 - 0.2266 = 0.7734
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Cheers,
Stan H.
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