00:01
Hello students, from the question, they given that the population mean mu is equal to 12 and the sample mean x bar is equal to 12 .019, sample standard deviation s is 0 .11, sample size n is equal to 36 and the given level of significance alpha is 0 .05.
00:23
Here the population standard deviation is unknown.
00:26
So, we will use t -test for population mean testing.
00:36
Now, the null hypothesis h naught is mu is equal to 12 and the alternative hypothesis h alpha is mu greater than 12.
00:45
This is the right tailed test.
00:51
Now, the formula for calculating the test statistic of one sample t -test is t is equal to x bar minus mu divided by s by square root of n.
01:03
Now, substitute the known values here.
01:06
We get 12 .019 minus 12 divided by 0 .11 by square root of 36 which is equal to 0 .019 divided by 0 .11 by 6...