00:01
Hello students here we are given mu equal to 6 ,75 ,000 and x bar is equal to 6 ,50 ,000 and n equal to 45, sigma equal to 35 ,000.
00:28
So the hypothesis test at alpha equal to 0 .05.
00:36
So first one we asked to write null and alternative hypothesis.
00:39
So the null hypothesis is that mu is equal to 6 ,75 ,000 and alternative hypothesis is that mu is less than 6 ,75 ,000 and b the critical value the critical value for alpha is 0 .05 is given by z critical is equal to minus 1 .645.
01:18
So using excel we found this.
01:20
So the distribution we have to write now that is minus 1, minus 2, minus 3, minus 4, minus 5, 1, 2, 3, 4, 5.
01:50
So this is the graph minus 1 .645.
02:11
So this is acceptance region, acceptance region which is 1 minus alpha and this is rejection region, rejection region that is alpha.
02:41
So we have all the things here.
02:49
If our test statistics falls within this we will rejecting the null hypothesis...