SOLUTION: A set of 50 data values has a mean of 20 and a variance of 36. I. Find the standard score (z) for a data value = 18. II. Find the probability of a data value < 18.

Algebra ->  Probability-and-statistics -> SOLUTION: A set of 50 data values has a mean of 20 and a variance of 36. I. Find the standard score (z) for a data value = 18. II. Find the probability of a data value < 18.      Log On


   



Question 402559: A set of 50 data values has a mean of 20 and a variance of 36.
I. Find the standard score (z) for a data value = 18.
II. Find the probability of a data value < 18.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A set of 50 data values has a mean of 20 and a variance of 36.
If variance = 36, std = 6
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I. Find the standard score (z) for a data value = 18.
z(18) = (18-20)/6 = -2/6 = -1/3
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II. Find the probability of a data value < 18.
P(x < 18) = P(z < -1/3) = 0.3694
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Cheers,
Stan H.