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Coffee beans: Shipments of coffee beans are checked for moisture content. A high moisture content indicates...

Coffee beans: 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 represent the mean water content (in percent by weight) in a shipment. Fifty moisture measurements will be made on beans chosen at random from the shipment. A test of the hypotheses H0: μ = 10 versus H1: μ > 10 will be made at the α = 0.05 level of significance. Assume the standard deviation of moisture content is σ = 5.0.

Find the power of the test against the alternative μ1 = 12.

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