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

question 137

Essay

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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Definitions:

Manifest Content

Refers to the literal surface meaning or storyline of a dream, as distinguished from its hidden or symbolic aspects.

Freud

Sigmund Freud was an Austrian neurologist who founded psychoanalysis, a clinical method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Manifest Content

The apparent and remembered content of a dream, as distinguished from its hidden or latent content.

Freud

Sigmund Freud was an Austrian neurologist known for founding psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.