A math teacher wants to determine the effectiveness of her...

⦁ A math teacher wants to determine the effectiveness of her statistics lesson. She gives a simple skills test to nine students before the start of class (a pre-test) and the same skills test to the same students at the end of class (a post-test). Here’s the data (with some calculations) pre test post test 78 80 67 69 56 70 78 79 96 96 82 84 84 88 90 92 87 92 ⦁ Was there a change in student performance from the Pre-test to the Post-test? Level of significance 5% ⦁ Write a brief report explaining your findings

Transcript

00:01 Hi, i'm david and i'm here to help you answer 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 hypothesis testing.

00:09 Here you want to test if there are a chance in student performance from the pre -tests and the post -test.

00:17 And here we have given the data set for the pre - and the post test, so i assume that we are like a player here.

00:29 And then i will define the variable d equal to, i will think that the data set that.

00:35 The parts and then it will minus the pre and if we do it this one will give us the value of 2 this one will be the 2 this will be the 4 this will be the 1 96 minus 96 be 0 84 minus 82 will be the 2 88 minus 84 will be the 4 92 minus 90 will be the 2 92 minus 90 will be the 2 92 minus 87 will be the 5 and from the data set here i'm going to compute the three quantities first will be the end we have one two three four five six seven eight nine so and then we need to find the d bar and the sd now let me pass the data into the calculator two to two four one zero two four two five and then we have the d bar equal to the two point four four four and the sd it will equal to to 1 .589.

01:40 And we'll route you the 590.

01:45 And from here, we should be able to find the test statistics.

01:51 And before that, i have to write down the noon and alternative hypothesis first.

01:56 The noon hypothesis, then the mean difference mude equal to the 0 versus the alternative hypothesis than the mud will not equal to the zero.

02:05 And when we compute the test statistics, it will equal to the t...

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