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:

Complex Strategies

Involves multifaceted and often sophisticated plans or methods aimed at achieving a particular goal or solving specific problems.

Subgoals

Intermediate goals or problems to solve that put one in a better position for reaching a final goal or solution.

Evaluating

The process of assessing or judging the value, nature, character, or quality of something through careful consideration and analysis.

Trial-and-Error

A problem-solving method involving repeated, varied attempts to find a solution, learning from the failures along the way.