A set of 50 data values has a mean of 30 and a variance of 4.
I. Find the standard score (z) for a data value = 26.
II. Find the probability of a data value < 26.
(Points : 4)
Solution
1. I am assuming X ~ N(18, 4) so you would calculate z = (20-18)/4 [(X - mu)/
variance] look up the z value for .5000 on the table, and that is the probability that x is less then
or equal to 20 to find the probability of greater than 20, just take the fact that the probabilities
add to 1 and 1 - the above probability is the probability that x is greater than 20.
A set of 50 data values has a mean of 30 and a variance of 4. I. F.pdf
1. A set of 50 data values has a mean of 30 and a variance of 4.
I. Find the standard score (z) for a data value = 26.
II. Find the probability of a data value < 26.
(Points : 4)
Solution
1. I am assuming X ~ N(18, 4) so you would calculate z = (20-18)/4 [(X - mu)/
variance] look up the z value for .5000 on the table, and that is the probability that x is less then
or equal to 20 to find the probability of greater than 20, just take the fact that the probabilities
add to 1 and 1 - the above probability is the probability that x is greater than 20
![A set of 50 data values has a mean of 30 and a variance of 4.
I. Find the standard score (z) for a data value = 26.
II. Find the probability of a data value < 26.
(Points : 4)
Solution
1. I am assuming X ~ N(18, 4) so you would calculate z = (20-18)/4 [(X - mu)/
variance] look up the z value for .5000 on the table, and that is the probability that x is less then
or equal to 20 to find the probability of greater than 20, just take the fact that the probabilities
add to 1 and 1 - the above probability is the probability that x is greater than 20](https://image.slidesharecdn.com/asetof50datavalueshasameanof30andavarianceof4-230323133017-657ce015/85/a-set-of-50-data-values-has-a-mean-of-30-and-a-variance-of-4-i-fpdf-1-320.jpg)
