A company has two machines, Machine A and Machine B, to produce its product. But the company has decided to purchase a new machine and must decide which of the two machines to purchase. They want to purchase the one that has the best productivity rating among its workers. The company believes that Machine A has the higher productivity rating, but wants to be sure before they proceed with the purchase. The company took a random sample of workers and recorded their productivity rating on each of the two machines. The data is recorded below. At the 5% significance level, determine if Machine A has a higher productivity rating than Machine B.

• From options #1 to #4 select the correct hypotheses for this test.
• From options #5 to #8 select the correct p-value for this test.
• From options #9 to #12 select the correct conclusion for this test.

Let "Machine A" be population 1 and "Machine B" be population 2. Complete the subtraction as population 1-population 2.

1. H0:1-2=0

Ha:1-2>0

1. H0:D=0

Ha:D>0

1. H0:1-2=0

Ha:1-2<0

1. H0:D=0

Ha:D<0

1. 0.0249
2. 0.0203
3. 0.043
4. 0.0403
5. There is no difference in the productivity rating of the two machines.
6. Based on the samples there is not enough evidence to conclude that Machine A has a higher productivity rating than Machine B.
7. Based on the samples there is enough evidence to conclude that Machine A has a higher productivity rating than Machine B
8. Machine A has a higher productivity rating than Machine B.

Worker	Machine A	Machine B
1	39	39
2	45	42
3	42	45
4	39	44
5	38	41
6	37	38
7	38	42
8	49	52
9	45	41
10	45	44
11	45	32
12	42	41
13	50	37
14	39	36
15	35	42
16	39	33
17	50	42
18	36	41
19	44	34
20	41	39
21	41	34
22	38	38
23	35	40
24	47	40
25	42	40
26	47	44
27	50	45
28	48	42
29	40	39
30	42	42