Do you prefer taking tests on paper or online? A college...

Do you prefer taking tests on paper or online? A college instructor gave identical tests to two randomly sampled groups of 60 students. One group took the test on paper and the other took it online. Those who took the test on paper had an average score of 68.4 with a standard deviation of 12.1. Those who took the test online had an average score of 71.3 with a standard deviation of 14.2. Can you conclude that the mean scores differ between online and paper tests? Find the $P$-value and state a conclusion. The $P$-value is We cannot conclude that the mean scores differ between online and paper tests.

Transcript

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

00:04 Let me bring up your question here.

00:07 Let me make it small here.

00:10 Okay, now in this question we discuss about the hybrid testing and in this test here we will consider the odds not.

00:21 It will be there is the mean of the student doing the test on the paper.

00:28 It will be the new one and then it will will minus mu2 equal to 0 so there's no difference between the mean between the people doing the exam on paper online.

00:42 The other one that will be the difference so it will be mu 1 minus 2 not equal to 0.

00:50 Now we have the n1 will be the people taking the exam on the paper so equal to the 60.

00:59 We know the x.

01:00 1 it will equal to the 68 .4 and the standard division equal to 12 .1.

01:10 This will be the s here.

01:14 And then for the group 2, also equal to 60 students.

01:18 X par 2, it will equal to the 71 .3 square, s2 equal to 14 .2.

01:29 And with the next time we need to compute the test statistics and the test statistics here it will be z the formula will equal to the x par 1 minus x par 2 divided by the sb and then we time with the square root on the 1 over n1 plus 1 over and 2 where the sb will equal to the s equal to the s equal to the n1 s1 square n1 minus 1 and then s 1 square plus n2 minus 1 then s2 square divided by the n1 plus n2 minus 1 and if we compare it we should get equal to n1 equal to 60 minus 1 be 59 s1 will be the 12 .1 square plus 59 again as 2 equals the 14 .2 square, divided by the 60 plus 60 minus 2.

02:45 If we compute it, get the answer will be 12 .1 square plus the 14 square times the 59, dividing by the 119 and then get equal to this will be the sb square and then equal to 172 .56 to 6 therefore the sb which you do the square root get equal to the 13 .13 .363 and it will apply the value which will get the zest test it will equal to the xbound 1 will equal to the 68 point 4 minus the 71 .3 over the sb will be 13 .1363 1 over the 60 plus 1 over the 60 and we should get this one will be 10 the square root of the 60 of the 60.

04:00 The 2 dividing by 60 and then we have the 68 .4 minus 71 .3 divided that number...

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