00:01
Hi, i'm david and i'm here to have you answer your question.
00:03
In the question here, we're given the data from the brand a &b, and let me bring up the data and put it on the top here.
00:12
And from the data here, the question here asks let you find to perform the test statistics when the mean difference equal to the 0 versus the alternative hypothesis, the mean difference will not equal to the 0.
00:28
Now to find the b value i have to find the difference between the two brands and i will turn the brand a and minus the brand b doesn't equal to the minus 2 this is an equal to the minus 1 this again the minus 2 this again a minus 3 minus 1 1 1 minus 2 and from here we will have to find the end and the d ball and the sd now the n equal to the one two three four five six seven eight nine and let me pass the data into the calculator we have the minus two yeah i will turn the mu one it will be the point a and mu two will be the point b so that will be correct so we have minus two zero minus one minus two minus three minus one one minus 2, minus 1, and then we have the d bar equal to the minus 1 .22 and the sd equal to the 1 .202.
01:44
And from here we should be able to find the test statistics denoted by the t.
01:51
The formula is equal to the d bar over the sd divided by square root the n.
01:57
Then we have the minus 1 .22 over the 1 .202 over the 1 .20.
02:01
2, the volume is quitted than the 9.
02:04
Then we get equal to the minus 3 .045.
02:13
From here we can find the p value.
02:16
It will equal to because this is the 2 -tel test.
02:21
Then the p -value equal to the 2 times the prompt of breathing the t and minus 1 degree freedom and equal to the 9, minus 1 will be the 8 degree freedom.
02:28
That will be smaller than the test statistics.
02:30
And using the t table we have this one will be under 8 degree freedom.
02:39
That will be greater smaller than the minus 3 .045.
02:46
Then get equal to the 0 .007.
02:51
Then we have the 2 times 0 .007 -97 equal to the 010 0160...