9. 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. III. Find the probability of a data value < 12. Show all work. (Points : 8) Solution I. P(z=12) z=(16-12)/2=2 II. 1-P(z<2) =0.0228 III.0.9772.

1. 9. 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.
III. Find the probability of a data value < 12.
Show all work.
(Points : 8)
Solution
I. P(z=12) z=(16-12)/2=2 II. 1-P(z<2) =0.0228 III.0.9772