A guitar amp production line manager wants to know the proportion of defective g

Question

A guitar amp production line manager wants to know the proportion of defective guitar amps produced by his production process. Rather than checking every guitar amp produced, the production manager plans on taking a random sample of size 180 in order to estimate the proportion of defective guitar amps being produced by the process. If the sample proportion of defective guitar amps is greater than 4 out of 100, the manager will consider adjusting the production process. Expressed as percentage, the manager will consider adjusting the production process if the percentage of defective guitar amps being produced is greater tharn Expressed as proportion, the manager will consider adjusting the production process if the proportion of defective guitar amps being produced is greater than Expressed as probability, the manager will consider adjusting the production process if the probability that a randomly selected guitar amp is defective is greater than Suppose that the true (but unknown) proportion of defective guitar amps is 0.02 and the If many samples of size 180 are taken, the expected mean of the sample proportions will be standard deviation of the sample proportions will be The frequency curve made from the sample proportions of the many samples approximately bell-shaped because be assumed to be The Rule for Sample Proportions does not apply. O The Rule for Sample Proportions applies. Since many samples are taken, the frequency curve will always be approximately bell-shaped.

Explanation / Answer

a) Percentage = 4/100=4%

Proportion = 0.04

Probability = 0.04

d) eXPECTED mean = np= 180*0.02=3.6 standard deviation = sqrt(npq)=sqrt( 180*0.02*0.98) = 1.878

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