A Company Manufactures Shoes in Three Different Factories

question 248

Multiple Choice

A company manufactures shoes in three different factories. Factory Omaha Produces 25% of the companyʹsshoes, Factory Chicago produces 60%, and factory Seattle produces 15%. One percent of the shoes produced inOmaha are mislabeled, 0.5 % of the Chicago shoes are mislabeled, and 2% of the Seattle shoes are mislabeled.If you purchase one pair of shoes manufactured by this company and you determine they are mislabeled whatis the probability they were made in Omaha?

• A) 0.294
• B) 0.353
• C) 0.333
• D) 0.070

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Definitions:

Interval Estimate

Interval Estimate refers to a range of values, derived from sample statistics, used to estimate a population parameter.

Standard Error

Measures the accuracy with which a sample represents a population, showing the dispersion of sample means around the true population mean.

Test Statistic

A standardized value derived from sample data during a hypothesis test that is used to determine the p-value or to compare against the critical value.

Population Means

The average value of a set of characteristics or figures for the entire population.