Question

Body Fat %	Income for Recreation %	Stress Index
13	10	7
8	15	8
5	12	12
11	9	15
6	10	6
7	20	9
9	11	5
	13	11
		14

2.   Determine the area under the normal curve for the following z scores:

   a.   Above z = 1.50

   b.   Below z = -.25

   c.   Between z = -.50 and z = .75

   d.   Above z = 2.25 and below z = -1.45

   e.   Between z= 1.00 and 2.50

Answer 1

Here we want to find the area under the normal curve for the following mentioned Z-scores

(A)

P(Z> 1.50) = 1- P(Z <1.50)

=1- 0.9332 using standard normal z probablity table

=0.0668

(B)

P(Z < -0.25) = 0.4013 using standard normal z probablity table

(C)

=0.7734 - 0.3085 using standard normal z probablity table

=0.4649

(D)

=0.9875 - 0.0735 using standard normal z probablity table

=0.9140

(E)

=0.9938 - 0.8413 using standard normal z probablity table

=0.1525