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- An apple farmer inspects a large random sample of his apples and finds that 20% contain excellent worms. He wants to charge his customers extra, and claims that the 90% confidence interval for the population pro- portion of apples that contain worms has a margin of error of at most 0.01. At least how many apples did the farmer inspect?In a study of maternal cigarette smoking and bone density in newborns, 77 infants of mothers who smoked had a mean bone mineral content of 0.098 g/cm3 (s1 = 0.026 g/cm3). The 161 infants whose mothers did not smoke had a mean bone mineral content of 0.095 g/cm3 (s2 = 0.025 g/cm3). Calculate the 95% confidence interval for µ1 - µ2