00:01
Hello students, here a total hypothesis test at 0 .05 level of significance and the null hypothesis is that h0 mu equal to 200 and h1 mu not equal to 200.
00:16
So, to determine test statistic we can use the formula t is equal to x bar minus mu divided by s by square root of n.
00:25
Just substitute all the values we do have here that is 218 minus 200 divided by 30 by square root of 64 and we get this as 4 .8.
00:48
So, now we calculate p value.
00:53
P value is equal to probability of t greater than 4 .8 or t less than minus 4 .8.
01:05
So, using t distribution table or the calculator we can find the area of right tail is approximately area of right tail is approximately 0 .00001.
01:24
So, therefore p value is 0 .00001 into 2 that is 0 .0000.
01:40
Here we are given alpha is 0 .05.
01:44
Now we can observe that p value is less than alpha.
01:52
So, we reject null hypothesis...