Question 6.16: Shipments of coffee beans are checked for moisture content. ...
Shipments of coffee beans are checked for moisture content. High moisture content indicates possible water contamination, leading to rejection of the shipment. Let μ represent the mean moisture content (in percent by weight) in a shipment. Five moisture measurements will be made on beans chosen at random from the shipment. A test of the hypothesis H_0: μ ≤ 10 versus H_1: μ > 10 will be made at the 5% level, using the Student’s t test. What is the power of the test if the true moisture content is 12% and the standard deviation is σ = 1.5%?
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