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The hourly wages in a particular industry are normally distributed with mean $13.20 and standard deviation $2.50. A company in this industry employs 40 workers,

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The hourly wages in a particular industry are normally distributed with mean $13.20 and standard deviation $2.50. A company in this industry employs 40 workers, pay- ing them an average of $12.20 per hour. Is this company paying substandard wages? (Use an a = 0.01 level test.) If appropriate (provide your justification), find the confidence interval of the true mean hourly wages paid by this company

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