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Shipments of Coffee Beans Are Checked for Moisture Content μ\mu Represent the Mean Water Content (In Percent by Weight) in High

question 91

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Shipments of coffee beans are checked for moisture content. A high moisture content indicates water contamination and will result in the shipment being rejected. Let μ\mu represent the mean water content (in percent by weight) in a shipment. Sixty moisture measurements will be made on beans chosen at random from the shipment. A test of the hypotheses H0:μ=11H _ { 0 } : \mu = 11 versus H1:μ>11H _ { 1 } : \mu > 11 will be made at the α=0.01\alpha = 0.01 level of significance. Assume the standard deviation of moisture content is σ\sigma = 5.0. Find the power of the test against the alternative μ1\mu _ { 1 } =13.


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