Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion or percentage of defective components may differ among the suppliers. To evaluate the proportion of defective components for the suppliers, Benson has requested a sample shipment of 500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows. Component Supplier A B
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Component | Supplier | ||
---|---|---|---|
A | B | C | |
Defective | 20 | 25 | 45 |
Good | 480 | 475 | 455 |
1)Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers.
A) H0: All population proportions are not equal.
Ha: pA = pB = pC
B) H0: Not all population proportions are equal.
Ha: pA = pB = pC
C) H0: pA = pB = pC
Ha: Not all population proportions are equal.
D) H0: pA = pB = pC
Comparison |
|
CVij
|
Significant Diff > CVij |
||
---|---|---|---|---|---|
A vs. B | |||||
A vs. C | |||||
B vs. C |
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