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:

Variables

Elements or characteristics in research that can change or vary, often categorized as dependent or independent.

Correlation Coefficient

A numeric metric that determines the intensity and orientation of a linear association between two numerical variables.

Range

The difference between the highest and lowest values in a set of data.

Magnitude

The size, extent, or importance of something, often quantitative in nature.