00:01
Hello students, let us do this question.
00:05
Part 1, the alternative hypothesis here will be ha mu1 is not equal to mu2 where mu1 is the mean repair cost for the small cars and mu2 is the mean repair cost for the mid -size cars.
00:22
Now, part 2 is the test statistic.
00:26
We will use here t -test statistic.
00:28
Formula is t is equal to x1 bar minus x2 bar divided by sp into 1 upon n1 plus 1 upon n2 under square root.
00:42
Sp is the pool standard deviation.
00:44
It is computed as sp is equal to n1 minus 1 s1 square plus n2 minus 1 s2 square divided by n1 plus n2 minus 2 whole under square root.
01:06
Now, we will consider sample 1 as small cars sample.
01:12
With the sample information n1 is equal to 15, sample mean x1 bar is equal to 578 and sample standard deviation s1 is equal to 190.
01:25
Now, sample 2 will be our mid -size car sample...