00:01
Hello student, in the given question, in part a, the null and alternative hypothesis is mu is equal to 11 .0 which means the mean classroom hour per week for full -time faculty is 11 and our h1 which is the alternative hypothesis is mu is not equal to 11 means the mean classroom hour per week for full -time faculty is not 11 hours.
00:32
So this is the two -tailed test.
00:34
This is two -tailed test with significance level 0 .01.
00:45
Now in part b, we have a statistic can be computed using the formula e is equals to x bar minus mu upon s upon under root of n.
01:01
So first we have to find out the sample mean.
01:07
So sample mean which is equals to x bar is equals to sum of all the data points upon number of data points.
01:15
So 12 .5 plus 8 .7 plus up to the last value which is 8 .8 divided by 8 which is equals to 10 .625.
01:27
Now s which is the standard deviation equals to square root of 12 .5 minus mean value 10 .625 bracket square plus up to the last value which is 8 .8 minus 10 .625 bracket square upon 8 minus 1 which is equals to 2 .464.
01:59
So here the given value for n which is equals to 8 value for mu is equals to 11.
02:08
So after substituting all this value in the formula, we get t is equals to 10 .625 minus 11 upon 2 .464 upon under root of 8 which is equals to minus 1 .81...