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The specification for the pull strength of a wire that
Chapter 1, Problem 3SE(choose chapter or problem)
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. Units made with aluminum wire have a defect rate of 10%. A redesigned manufacturing process, involving the use of gold wire, is being investigated. The goal is to reduce the rate of defects to 5% or less. Out of the first 100 units manufactured with gold wire, only 4 are defective. True or false:
a. Since only 4% of the 100 units were defective, we can conclude that the goal has been reached.
b. Although the sample percentage is under 5%, this may represent sampling variation, so the goal may not yet be reached.
c. There is no use in testing the new process, because no matter what the result is, it could just be due to sampling variation.
d. If we sample a large enough number of units, and if the percentage of defective units is far enough below 5%, then it is reasonable to conclude that the goal has been reached.
Questions & Answers
QUESTION:
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. Units made with aluminum wire have a defect rate of 10%. A redesigned manufacturing process, involving the use of gold wire, is being investigated. The goal is to reduce the rate of defects to 5% or less. Out of the first 100 units manufactured with gold wire, only 4 are defective. True or false:
a. Since only 4% of the 100 units were defective, we can conclude that the goal has been reached.
b. Although the sample percentage is under 5%, this may represent sampling variation, so the goal may not yet be reached.
c. There is no use in testing the new process, because no matter what the result is, it could just be due to sampling variation.
d. If we sample a large enough number of units, and if the percentage of defective units is far enough below 5%, then it is reasonable to conclude that the goal has been reached.
ANSWER:
Solution :
Step 1 of 4:
The specification for the pull strength of a wire that connected in a circuit is 10g or more. The units made with aluminium wire have a defective rate 10%. We can use gold wire instead of aluminium wire if the rate of defects is 5% or less. So the goal is to reduce the rate defects in to 5% or less. Here out of the first 100 units manufactured with gold wire, only 4 are defective. We have to find the statements are true or false.
- Since there is only 4% of the 100 units were defective, we can conclude that the goal has been reached.
- Although the sample percentage is under 5%, this may represent sampling variation, so the goal may not yet be reached.
- There is no use in the testing the new process, because no matter what the result is, it could just be due to sampling variation.
- If the sample is a large enough number of units, and if the percentage of defective units is far enough below 5%, then it is reasonable to conclude that the goal has been reached.