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4. 20 A grower of organic melons has contracted with an American trucker to ship her melons to Alabama. By contract, the average weight

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4. 20 A grower of organic melons has contracted with an American trucker to ship her melons to Alabama. By contract, the average weight of the melons should be 1.5 kilograms. If the weight per melon is too much above that weight, the trucker will end up paying extra road usage fees. To check a shipment of about 1,000 cartons of melons, a trucker took a random sample of 49 melons and found that y=1.8 with a standard deviation of 1.3 kg. The trucker and the grower agree that Type I error should be 5%. a. Which one the trucker or growerwould find a Type I error level of 10% preferable to a Type I error of 5%? Please explain your reasoning. b. Please formulate a four-step hypothesis test of the question: are the melons overweight? 2

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