Matched Pairs - Hypothesis Testing

1.You would like to conduct a hypothesis test to see if there is a difference between the old and new commission plan.Use the following information:

Commissions

Old

New

Difference

1

320

340

20

2

290

285

-5

3

421

475

54

4

510

510

0

5

210

210

0

6

402

500

98

7

625

631

6

8

560

560

0

9

360

365

5

10

431

431

0

11

506

525

19

12

505

619

114

428.33

454.25

25.92

AVG

40.8

STD

A.What is the test statistics value (correct number of decimal places depending on which test statistic)?

B.What is the probability of the test statistic for this specific problem? (take into consideration if this is 1-tail or 2-tail test)

C.What conclusion will you come to? (just need to state Accept Ho or Reject Ho and Accept Ha - just put one of those 2 answers in the body of the discussion board, but you will have a more detailed solution (besides writing one of these statements you will write out in words what the conclusion means) on your worksheet that you will attach as a PDF)

D.Using the critical value approach at what critical value or values will you start rejecting the null hypothesis? (make sure you are very careful and detailed with your answer, pay attention to signs and values)