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23.8 Suppose that in Exercise 23.1 the content of the bottles has to be determined by...

23.8 Suppose that in Exercise 23.1 the content of the bottles has to be determined by weighing. It is known that the wine bottles involved weigh on average 250 grams, with a standard deviation of 15 grams, and the weights follow a normal distribution. For a sample of 16 bottles, an average weight of 998 grams was found. You may assume that 1 ml of wine weighs 1 gram, and that the filling amount is independent of the bottle weight. Construct a 95% confidence interval for the expected amount of wine per bottle, µ.

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