00:01
Let's solve this question.
00:03
For the a part of the question, we have to build a hypothesis.
00:09
So the null hypothesis that is represented by h0 will be mu that is the mean should be less than or equal to 1 decimal 1 whereas the alternative hypothesis represented by h1 where mu should be greater than 1 decimal 1.
00:27
Therefore this is the final answer to the a part of the question.
00:32
Now moving forward to the b part of the question, here n that is the sample size which is equals to 65.
00:40
As n is greater than 30, we will use the z score or the z test which is the formula of x bar, subtracting mu divided by sigma divided by root n.
00:53
Substituting the value that is 1 decimal 102, subtracting 1 decimal 1 divided by decimal 02 divided by under root of 65.
01:04
After solving this, we find the value of z which is equals to decimal 65.
01:12
Here we will also find the z critical value from the table which is equals to 2 decimal 33 which is at alpha equals to decimal 01 for one tail test.
01:26
Here the z test that we calculated value is less than the z critical value.
01:34
Therefore we come to the conclusion that we failed to reject the null hypothesis.
01:46
This is the final answer to the b part of the question.
01:50
Moving forward to the c part of the question where we have to find the p value...