A manufacturer of sparkplugs has a goal of producing less than 2% defective ones

Question

A manufacturer of sparkplugs has a goal of producing less than 2% defective ones. Of the last 8,000 sparkplugs, 13 were defective. a. What is the experimental probability that the next sparkplug will be defective? b. Did the manufacturer reach its goal? Explain. A manufacturer of electric switches has a goal of producing less than 1.5% defective switches. Of the last 300 switches, 23 were defective. a. What is the experimental probability that the next switch made will be defective? Did the manufacturer reach its goal? Explain.

Explanation / Answer

13 are defective out of 8000
So, p = 13/8000 = .001625

a. P( the next sparkplug will be defective) = .001625

b. Did the mannufacturer reach its goal = ? Yes it did. .001625<.02. So, the goal is reached as the experimental probability is less than .02

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