A local manufacturing company uses two different methods to produce its product. The company wants to know if there is a difference in the productivity of its workers using the two different methods. A sample of workers as taken and their productivity rating using each method was recorded below. At the 1% significance level, determine if there is any difference in the productivity rating of the two methods.

• 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 method 1 be population 1 and method 2 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:D=0

Ha:D0

1. H0:1-2=0

Ha:1-20

1. 0.2938
2. 0.0302
3. 0.2972
4. 0.0245
5. There is no difference in the two methods.
6. Based on the samples there is enough evidence to conclude that there is a difference in the productivity rating of the two methods.
7. Based on the samples there is not enough evidence to conclude that there is a difference in the productivity rating of the two methods.
8. There is a difference in the two methods.

Worker	Method 1	Method 2
1	6	5
2	4	4
3	6	7
4	6	5
5	3	4
6	4	4
7	7	5
8	6	5
9	3	4
10	7	6
11	7	6
12	5	5
13	5	5
14	8	7
15	6	4
16	6	8
17	3	4
18	8	8
19	6	5
20	3	3
21	6	4
22	3	3
23	7	6
24	8	6
25	8	6
26	5	5
27	9	8
28	8	7
29	6	5
30	3	4
31	7	6
32	7	7
33	6	7
34	4	5
35	7	8
36	7	6
37	5	4
38	6	5
39	2	3
40	6	5