Below is listed the partial results of an ANOVA table A loca

Below is listed the partial results of an ANOVA table. A local auto shop is testing the difference between the average life expectancy of the car batties they sell.

A. What is the null hypothesis?

B. What is the alternative hypothesis?

C. Fill out the ANOVA table above.

D. Assume a significance level of .05. What is the critical F-value for this test?

E. What is the statistical decision?

F. What is the answer to the actual question?

Solution

A.

Null hypothesis:

H0: All the means are equal.

B

Alternative hypothesis:

Ha: Means are not equal.

C.

Following is the completed ANOVA table:

D

Degree of freedom of numerator is df1=7

Degree of freedom of denominator is df2=100

So for a significance level of .05, critical value of F is 2.1025.

E.

Since F-statistics is greater than critical value so we reject the null hypothesis.

F.

On the basis of sample evidence we can conclude that there is a  difference between the average life expectancy of the car batties they sell.