Solve the problem.
-After constructing a new manufacturing machine, 5 prototype integrated circuit chips are produced and it is
found that 1 is defective (D) and 4 are acceptable (A). Assume that two of the chips are randomly selected with
replacement from this population. (i) After identifying the 25 different possible samples, find the proportion of
circuits that are acceptable in each of them, then use a table to describe the sampling distribution of the
proportions of circuits that are acceptable. (ii) Find the mean of the sampling distribution. (iii) Is the mean of the
sampling distribution equal to the population proportion of circuits that are acceptable? (iv) Does the mean of
the sampling distribution of proportions always equal the population proportion?

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The Answer of Solve the problem.
-After constructing a new manufacturing machine, 5 prototype integrated circuit chips are produced and it is
found that 1 is defective (D) and 4 are acceptable (A). Assume that two of the chips are randomly selected with
replacement from this population. (i) After identifying the 25 different possible samples, find the proportion of
circuits that are acceptable in each of them, then use a table to describe the sampling distribution of the
proportions of circuits that are acceptable. (ii) Find the mean of the sampling distribution. (iii) Is the mean of the
sampling distribution equal to the population proportion of circuits that are acceptable? (iv) Does the mean of
the sampling distribution of proportions always equal the population proportion?

Solve the Problem. -After Constructing a New Manufacturing Machine, 5 Prototype Integrated Circuit