Suppose a Sample of 120 Items Is Drawn from a Population

question 118

Essay

Suppose a sample of 120 items is drawn from a population of manufactured products and the number of defective items is recorded. Prior experience has shown that the proportion of defectives is 0.05.
Is the sampling distribution of the proportion of defectives approximately normal?
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What is the mean?
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What is the standard deviation?
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What is the probability that the sample proportion is less than 0.10?
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How would the sampling distribution of the sample proportion change if the sample size were raised to 200?
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Definitions:

Sternum

The sternum, or breastbone, is a long flat bone located at the center of the chest, connecting to the ribs and supporting the thoracic region.

Epiphysis

The end part of a long bone, which is initially growing separately from the shaft during development.

Diaphysis

The diaphysis is the main or midsection (shaft) of a long bone, distinguished from the bone's ends or epiphyses.

Disk

A flat, thin, round object or medium, often used for storing digital data.