Answer:
The rejection region is
or
and
From the value obtained we see that
Hence
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance
Step-by-step explanation:
From the question we are told that
The first sample size is
The first sample standard deviation is
The second sample size is
The first sample standard deviation is
The significance level is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
Generally the first degree of freedom is
Generally the second degree of freedom is
From the F-table the critical value of at the degrees of freedom of and is
The rejection region is
or
and
From the value obtained we see that
Hence
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance