a researcher wants to compare the variances of the heights i

a researcher wants to compare the variances of the heights (in inches) of four year college basketball players with those of players in junior colleges. a random sample of 30 players from each type of school is selected, and the variances of the heights of each type are 2.46 and 3.18, respectively. at alpha equal to 0.10, is there a significant difference between the variances of the heights in the two types of schools?

Solution

Null , There Is No Significance between them Ho: ^2 = ^2
Alternate , There Is Significance between them H1: ^2 != ^2
Test Statistic
Sample 1
s1^2=3.18, n1 =30
Sample 2
s2^2 =2.46, n2 =30
Fo =3.18/2.46 = 1.29
| Fo | =1.29
Critical Value
The Value of |F | at LOS 0.1 with d.f F(n1-1,n2-1)=F(29,29) is 1.861
We got |Fo| =1.293 & | F | =1.861
Make Decision
Hence Value of |Fo | < | F | and Here we Do not Reject Ho

We don\'t have enough evidence to indicate that difference between the variances of the heights in the two types of schools are diffrent