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A certain process for manufacturing integrated circuits has been in use for a period of
Chapter 1, Problem 5(choose chapter or problem)
A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that \(12 \%\) of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of \(100 \text { circuits }\) produced by the new process, 12 were defective.
a. One of the engineers suggests that the test proves that the new process is no better than the old process, since the proportion of defectives in the sample is the same. Is this conclusion justified? Explain.
b. Assume that there had been only 11 defective circuits in the sample of 100. Would this have
proven that the new process is better? Explain.
c. Which outcome represents stronger evidence that the new process is better: finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?
Equation Transcription:
Text Transcription:
12%
100 circuits
Questions & Answers
QUESTION:
A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that \(12 \%\) of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of \(100 \text { circuits }\) produced by the new process, 12 were defective.
a. One of the engineers suggests that the test proves that the new process is no better than the old process, since the proportion of defectives in the sample is the same. Is this conclusion justified? Explain.
b. Assume that there had been only 11 defective circuits in the sample of 100. Would this have
proven that the new process is better? Explain.
c. Which outcome represents stronger evidence that the new process is better: finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?
Equation Transcription:
Text Transcription:
12%
100 circuits
ANSWER:12 defective
a. This conclusion is not justified. The proportion of defectives in the sample could be due to random chance and may not be an accurate indication of the new process's effectiveness.