0.532 The following information was obtained from matched...

0.532 The following information was obtained from matched samples regarding the productivity of ten individuals using two different methods of production. Is there a significant difference between the productivity of the two methods? Let \(\alpha = 0.05\). Individual Method 1 Method 2 1 10 11 2 9 12 3 12 8 4 11 10 5 13 11 6 10 8 7 9 9 8 8 11 9 11 13 10 12 11

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00:01 Hi, i'm david and i'm here to help you and send your question.

00:03 Now let me bring up your question here.

00:06 In the question here, we are going to discuss about the hybrid testing.

00:09 Here i want to determine if there is a significant difference between the mean productivity of the two methods.

00:16 And here we're given the method one and method two.

00:19 There will be the 2, 1, 6 ,000, 6, 8, 2, 9, 5, 3, 7, 6, and then 4, 7, 5, 5, 8, 6, and then 6, 9, 5, 7.

00:53 And the last one will be the 6 3.

00:58 Now, 1 to conduct the hybrid testing that the noon hypothesis, then the mu -d, equal to the the 0 versus the alternative hypothesis standard difference between them so muu d will not equal to the 0.

01:13 Now to conduct the test, we need to formulate the new data here will be called this difference d.

01:20 We will turn the method 1 minus the method 2.

01:24 So if we must subject them, we should have this going to be the 1.

01:28 This will be the minus 2.

01:30 This will be the minus 7, 2.

01:32 And then 1 minus 3 0 2 minus 3 and 3 and 3 and with the new set of the data here we're going to find the n the d bar the mean and the sd so we have 1 2 3 4 5 6 7 8 9 10 11 so an in equal 11 i will pass the detention the calculator 1 minus 2 i'm sorry have 1 minus 2 minus 2 minus 7 2 1 minus 3 0 and 3 and 3 and we have the d bar equal to the minus 0 .7 to 7 and the sd equal to the 2 2 .9 6, 7.

02:37 And from here we should be able to find the test statistics...

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