SOLUTION: A set of 50 data values has a mean of 39 and a variance of 9. I. Find the standard score (z) for a data value = 43. II. Find the probability of a data value < 43.

Algebra ->  Probability-and-statistics -> SOLUTION: A set of 50 data values has a mean of 39 and a variance of 9. I. Find the standard score (z) for a data value = 43. II. Find the probability of a data value < 43.       Log On


   



Question 421146: A set of 50 data values has a mean of 39 and a variance of 9.
I. Find the standard score (z) for a data value = 43.
II. Find the probability of a data value < 43.

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 39 and a variance of 9.
Note: standard deviation = sqrt(9) = 3
--------------------
I. Find the standard score (z) for a data value = 43.
---
z(43) = (43-39)/3 = 4/3
------------------------------
II. Find the probability of a data value < 43.
P(x < 43) = P(z < 4/3) = normalcdf(-100,43) = 0.9088
======================
Cheers,
Stan H.
======