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Confidence interval of the average weight of loaves

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A bakery was taken to court for selling loaves of bread that were underweight. These loaveswere advertised as weighing 24 ounces. In its defense, the bakery claimed that the advertisedweight was meant to imply not that each loaf weighed exactly 24 ounces, but rather that theaverage value over all loaves was 24 ounces. The prosecution in a rebuttal produced evidencethat a randomly chosen sample of 30 loaves had an average weight of 22.8 ounces with a samplestandard deviation of 1.4 ounces. In her ruling, the judge stated that advertising a weight of 24ounces would be acceptable if the mean weight were at least 23 ounces. Can the bakery's claimbe rejected at 10% significance level? Explain. Then, calculate the 90% confidence interval of the average weight of loaves of bread.

Reference no: EM131332548

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