Question: Quality Control After constructing a new manufacturing machine, 5 prototype car headlights are produced and it is found that 2 are defective (D) and 3

Quality Control After constructing a new manufacturing machine, 5 prototype car headlights are produced and it is found that 2 are defective (D) and 3 are acceptable

(A). Assume that two headlights are randomly selected with replacement from this population.

a. After identifying the 25 different possible samples, find the proportion of defects in each of them.

b. Describe the sampling distribution of proportions of defects. (Hint: See Table 5-2.)

c. Find the mean of the sampling distribution.

d. Is the mean of the sampling distribution (from part [c]) equal to the population proportion of defects? Does the mean of the sampling distribution of proportions always equal the population proportion?

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