00:01
Hello students, given the claim that the average age of student is significantly different from 21.
00:10
The sample of students n is equal to 49, mean x bar is equal to 21, population standard deviation sigma is equal to 3 .5, level of significance alpha is equal to 0 .1.
00:30
In a part of the question, according to the claim, the hypothesis is h naught mu is equal to 21 against the alternative hypothesis h a such that mu not equal to 21.
00:51
Now, the test statistic is z is equal to x bar minus mu divided by sigma by root n.
01:05
Substitute the values into the formula of z, we will get it as 23 minus 21 divided by 3 .5 by root 49.
01:15
Therefore, z is calculated as 4.
01:20
Now, in b part of the question, we want to find the p value...