7. The ne idle loping problem as about 10 per cent of the Tigercats have an unstable fluctuating engine speed when they are idling. An engineering 'fix' is put in a production pilo- lot of a hundred cars. (a) If the fix has no effect on the problem, how many cars would yo expect to have the fault? (b) If only two of the pilot lot have the idling fault, and the othe ninety-eight cars are not defective, would you conclude that the fix h a significant effect? (Hint: Show that the probability of getting two less defectives in a sample size of a hundred, given that the fix has is very small indeed.)

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7. The new 'Tigercat' sports car has an idle loping problem as about
10 per cent of the Tigercats have an unstable fluctuating engine speed
when they are idling. An engineering 'fix' is put in a production pilot
lot of a hundred cars.
(a) If the fix has no effect on the problem, how many cars would you
expect to have the fault?
(b) If only two of the pilot lot have the idling fault, and the other
ninety-eight cars are not defective, would you conclude that the fix has
a significant effect? (Hint: Show that the probability of getting two or
less defectives in a sample size of a hundred, given that the fix has no
effect, is very small indeed.)
Transcribed Image Text:7. The new 'Tigercat' sports car has an idle loping problem as about 10 per cent of the Tigercats have an unstable fluctuating engine speed when they are idling. An engineering 'fix' is put in a production pilot lot of a hundred cars. (a) If the fix has no effect on the problem, how many cars would you expect to have the fault? (b) If only two of the pilot lot have the idling fault, and the other ninety-eight cars are not defective, would you conclude that the fix has a significant effect? (Hint: Show that the probability of getting two or less defectives in a sample size of a hundred, given that the fix has no effect, is very small indeed.)
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