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 (i) Which of the following statements correctly defines the null hypothesis HO? A. All five mean percentage differences are equal B. Two of the mean percentage differences are not equal C. At least four of the mean percentage differences are equal D. At least two of the mean percentage differences are not equal (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. All five mean percentage differences are equal B. Two of the mean percentage differences are not equal C. At least four of the mean percentage differences are equal D. At least two of the mean percentage differences are not equal (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
9A
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
(i) Which of the following statements correctly defines the null hypothesis HO?
A. All five mean percentage differences are equal
B. Two of the mean percentage differences are not equal
C. At least four of the mean percentage differences are equal
D. At least two of the mean percentage differences are not equal
(ii) Which of the following statements correctly defines the alternative hypothesis HA?
A. All five mean percentage differences are equal
B. Two of the mean percentage differences are not equal
C. At least four of the mean percentage differences are equal
D. At least two of the mean percentage differences are not equal
(iii) Enter the level of significance α used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
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