00:01
Hello student, in the given question we have to test if there is a difference in the mean number of hours spent per week by industry.
00:46
So here we can use one way anova.
00:56
Therefore we have the null hypothesis as there is no difference in the mean number of hours spent per week by industry.
01:07
There is no difference in mean number of hours spent per week by industry and versus our alternative hypothesis is there is a difference.
01:41
So we can calculate the sample mean, grand mean within groups and between the group.
01:49
Sum of square as follows.
01:53
So for banking x1 bar is equal to 32 plus 30 plus 30 plus 30 plus 28 divided by 5 which is equal to 30.
02:12
For retail x2 bar is equal to 28 plus 28 plus 26 plus 28 plus 30 divided by 5 which is equal to 28.
02:30
Now for insurance x3 bar is equal to 30 plus 28 plus 26 plus 28 plus 30 divided by 5 which is equal to 28 .4.
03:00
So grand mean x bar which is equal to 30 plus 28 plus 28 .4 divided by 3 which is equal to 28 .8.
03:20
Now within group sum of square which is equal to within group sum of square is equal to 26 .8.
03:29
Now degrees of freedom within the group is degrees of freedom within group is degrees of freedom within is equal to n minus k equals to 15 minus 3 is equal to 12...