00:01
Hi, i'm david and i'm here to have your answer your question.
00:03
In the question here we're going to discuss about the hypothesis testing.
00:07
And here i want to conclude that the difference exists between the two groups.
00:12
And the first group will be the age of the 18 to the 34 and the second group will be from the 35 to the 50.
00:19
So it means no one to test the known hypothesis than the mu 1, it will equal to the mu 2 versus the own technical hypothesis that m1 will not equal to the m2.
00:31
Notice that this is the 2 -tel test.
00:34
Here we have the n1 equal to the n2 and equal to the 250.
00:39
We are given the x -b1, it will equal to the first group will have the average and standard division equal to the 58 -99, and the s -1, it will equal to the 30 -177.
00:57
And second group x bar two you will get equal to the 52 point 96 and the s2 equal to the 43 from 32.
01:11
Now from this information the first time we need to find the test statistics.
01:17
And because n greater than the 30, so we can use the test approximately to the z.
01:21
And the formula will be the x by 1 minus the x power 2 divided by the square root of the s 1 square over n1 plus the s2 square over the n2.
01:32
Now if we're blocking the value, we have the 58 .99, we minus the 52 .96, dividing by the square root of the 30.
01:45
47 square divided by the 250 plus the 43 .32 square divided by the 250.
01:54
And if you compute it, we will have 30 .77 square plus 43 .32 square, divided by the 250, taking the square root, and then 58 .99 minus 52 .96, defined by the answer...