SAT scores before and after a tutoring...

SAT scores before and after a tutoring course before after 480 475 517 531 621 614 550 570 489 517 499 516 503 493 374 390 501 531 540 537 600 633 577 598 528 528 510 512 493 507 A company that sells a tutoring course for the SAT wants to advertise that its course significantly improves SAT scores. It randomly selects 15 students and has them take the SAT. Then they take the tutoring course, and then they take the SAT again. The data are shown in this worksheet. Can the company advertise that its product "significantly improves SAT scores?" Test at .05.

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00:01 Okay, so i see that you need help with this question.

00:02 It says a company that sells tutoring score course for sat wants to advertise that the course significantly improves sat scores.

00:11 The randomly selected 15 students that has take, has them take the sat, then write, then take the tutoring course, and then they take the sat again.

00:24 The data are shown in this worksheet.

00:26 Can the completely advertise that this project significantly improves sat scores? test a 0 .5, test at a 0 .5 significance level.

00:40 So what you're going to do is you are going to take 1 minus 0 .05 divided by 2, and that is going to be 0 .975.

00:55 And then you have t, 0 .975, and then your degree of freedom is going to be 28 because 15 plus 15 minus 2 is 28.

01:07 And then that is going to be 2 .0484.

01:14 Then what you're going to do next is you're going to take, you're going to calculate, so for, you're going to have to calculate the mean in the standard deviation.

01:26 And so the mean of before is going to be 488 .6, and then the mean for after is 530 .1333.

01:55 Then the standard deviation of before is 134 .3879, and the standard deviation for after is 59 .2547.

02:14 So then what you're going to have to do, let me just fix this 8.

02:18 So then what you're going to have to do is you have to then pull your variance...

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