Population characteristics: Ratio of the two population variances,  or standard deviations,  .
X and Y's are random sample from a normal distribution.
 and  are the population variances for X's and Y's, respectively.
 and  are the sample variances for X's and Y's, respectively.
m and n are the sample sizes for X's and Y's, respectively.
Test statistics: 
Decision can be made in one of the two ways:
Let F* be the computed test statistic values.
Lower tailed test
|
P-value = P(F |
Upper tailed test
|
P-value = P(F>F*)
|
Two-tailed test
|
P-value = 2P(F > F*)
|
In each case, you can reject H0 if P-value and fail to reject H0 (accept H0) if P-value >
Rejection region for level test:
Lower tailed test
|
F F1-;m-1,n-1
|
Upper tailed test
|
F F;m-1,n-1
|
Two- tailed test
|
F F1-/2;m-1,n-1 or F F/2;m-1,n-1
|
Notice that F1-/2;m-1,n-1 = 1 / F/2;n-1,m-1
100(1-)% confidence Interval for :
Example 7 (Exercise 9.57):
Share with your friends: |
