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The Hawkins Company Randomly Samples 10 Items from Every Large

question 31

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The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected. Based on this sampling plan, the probability that a batch that contains twice the amount of defects allowed by the contract requirements will be shipped without further inspection is approximately .3874.

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Definitions:

Sampling Distribution

The configuration of probability for a given statistic, determined by a random sample.

Sample Mean

The average value calculated from a set of samples or observations drawn from a larger population.

Population Mean

The population mean is the average value of a population attribute, computed by summing all the values in the population and dividing by the total number of values.

Sample Proportion

The ratio of members in a sample that have a particular characteristic to the total number of members in the sample.

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