00:01
Hello students, let read this problem.
00:02
The problem says the prothana city college claims that the average gpa for pcc student is more than 3 .1.
00:15
Then a random sample of 86 students.
00:21
So this is given that 86 students has a sample mean of.
00:29
So sample mean that is given 2 .9.
00:34
The population standard aviation, so hd 0 .4, is there enough evidence to support the claim to alpha 0 .10? what is the z value? so we have to find out the z value.
00:57
So we have to find out the result of the two decimal places.
01:02
So we have to start this problem, a random sample size.
01:06
That is, n equal to 86 has in taken.
01:10
So based on this sample, x bar, that is given here 2 .9 mean, we have also given that the population standard deviation is 0 .4 and alpha is equal to 0 .10.
01:26
So we have to the test, the average gpa for pcc student is more than 3 .1.
01:32
So we have to do the null hypothesis that is of h0 mu that is 3 .1 and another h1 mu is equal to is this one is greater than 3 .1 this is the test value from the h1 the test is right tail test on the one population population mean.
02:09
So this is for the one population mean.
02:12
So the test statistics for the test is defined as, so we can write down that z bar that is equal to x bar means mean minus mu divided by delta divided by root of m, that is is n 0 comma 1 distribution.
02:36
Thus the test statistics value that is z equal to 2 .9.
02:43
So this is not the z bar, this is the z...