Q9D
Levi-Strauss Co manufactures clothing. The quality control department measures weekly values of different suppliers for the percentage difference of waste between the layout on the computer and the actual waste when the clothing is made (called run-up). The data is in the following table, and there are some negative values because sometimes the supplier is able to layout the pattern better than the computer ("Waste run up," 2013).
Table #11.3.3: Run-ups for Different Plants Making Levi Strauss Clothing
Plant 1
|
Plant 2
|
Plant 3
|
Plant 4
|
Plant 5
|
1.2
|
16.4
|
12.1
|
11.5
|
24
|
10.1
|
-6
|
9.7
|
10.2
|
-3.7
|
-2
|
-11.6
|
7.4
|
3.8
|
8.2
|
1.5
|
-1.3
|
-2.1
|
8.3
|
9.2
|
-3
|
4
|
10.1
|
6.6
|
-9.3
|
-0.7
|
17
|
4.7
|
10.2
|
8
|
3.2
|
3.8
|
4.6
|
8.8
|
15.8
|
2.7
|
4.3
|
3.9
|
2.7
|
22.3
|
-3.2
|
10.4
|
3.6
|
5.1
|
3.1
|
-1.7
|
4.2
|
9.6
|
11.2
|
16.8
|
2.4
|
8.5
|
9.8
|
5.9
|
11.3
|
0.3
|
6.3
|
6.5
|
13
|
12.3
|
3.5
|
9
|
5.7
|
6.8
|
16.9
|
-0.8
|
7.1
|
5.1
|
14.5
|
|
19.4
|
4.3
|
3.4
|
5.2
|
|
2.8
|
19.7
|
-0.8
|
7.3
|
|
13
|
3
|
-3.9
|
7.1
|
|
42.7
|
7.6
|
0.9
|
3.4
|
|
1.4
|
70.2
|
1.5
|
0.7
|
|
3
|
8.5
|
|
|
|
2.4
|
6
|
|
|
|
1.3
|
2.9
|
|
|
|
Do the data show that there is a difference between some of the suppliers? Test at the 1% level
**********************************************************************
Let
x1
= percentage difference of waste between the layout on the computer and the actual waste when the clothing is made (called run-up) from plant 1
Let
x2
= percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 2
Let
x3
= percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 3
Let
x4
= percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 4
Let
x5
= percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 5
Let
μ1
= mean percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 1
Let
μ2
= mean percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 2
Let
μ3
= mean percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 3
Let
μ4
= mean percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 4
Let
μ5
= mean percentage difference of waste between the layout on the computer and the actual waste of run-up from plant 5
(x) Comparing p-value and
α
value, which is the correct decision to make for this hypothesis test?
A. Reject
Ho
B. Fail to reject
Ho
C. Accept
Ho
D. Accept
HA
Enter letter corresponding to correct answer.
(xi) Select the statement that most correctly interprets the result of this test:
A. The result is not statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that there is a difference between some of the suppliers.
B. The result is statistically significant at .01 level of significance. There is not enough evidence to support the claim that there is a difference between some of the suppliers.
C. The result is statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that there is a difference between some of the suppliers.
D. The result is not statistically significant at .01 level of significance. There is not enough evidence to support the claim that there is a difference between some of the suppliers.
Enter letter corresponding to most correct answer