The operations manager in a company that manufactures car mufflers wants to determine if there are any differences in the quality of workmanship among the three shifts. He randomly selects 485 car mufflers and inspects them. Each muffler is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two variables of interest are: shift and condition of the muffler produced. The data is summarized by the two-way cross tabulation in Table 4. Do these data provide evidence at the 5% significance level that there are differences between quality and shifts? Perfect Satisfactory Defective Total Shift 1 116 112 2 230 Shift 2 65 79 4 148 Shift 3 27 78 2 107 Total 208 269 8 485 NOTE: DO NOT SOLVE ON EXCEL AND CLASSFY EACH STEPS
The operations manager in a company that manufactures car mufflers wants to determine if there are any differences in the quality of workmanship among the three shifts. He randomly selects 485 car mufflers and inspects them. Each muffler is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two variables of interest are: shift and condition of the muffler produced. The data is summarized by the two-way cross tabulation in Table 4. Do these data provide evidence at the 5% significance level that there are differences between quality and shifts?
|
|
Perfect |
Satisfactory |
Defective |
Total |
|
Shift 1 |
116 |
112 |
2 |
230 |
|
Shift 2 |
65 |
79 |
4 |
148 |
|
Shift 3 |
27 |
78 |
2 |
107 |
|
Total |
208 |
269 |
8 |
485 |
NOTE: DO NOT SOLVE ON EXCEL AND CLASSFY EACH STEPS
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