00:01
Here the null and alternative hypothesis are h0 is sigma 1 square equal to sigma 2 square.
00:23
That is the population variance in the steel rods supplied by the companies are equal.
00:30
The population variances are equal.
00:38
The alternate hypothesis h1 is sigma 1 square is not equal to sigma 2 square.
00:45
The population variances are different.
00:56
This is the null and alternative hypothesis.
00:58
Here the level of significance value alpha is 0 .1.
01:09
The sample sizes are n1 equal to 11 and n2 is equal to 11.
01:17
The degrees of freedom is calculated as n1 minus 1, 11 minus 1 is 10 degrees of freedom.
01:30
The denominator is n2 minus 1, 11 minus 1 is 10.
01:36
Now we need to calculate the critical value f at 0 .1 level of significance and 10 comma 10 degrees of freedom.
01:47
This is obtained using excel.
01:51
This is the excel formula to calculate the critical value from the output we have 2 .323 is the critical value.
02:01
Now we need to calculate the test statistics value...