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A perfume factory wishes to ensure that an average of 16ml of perfume is used to...

A perfume factory wishes to ensure that an average of 16ml of perfume is used to fill each bottle. In order to analyse the accuracy of the bottling process, he takes a random sample of 48 bottles. The mean weight of the sample is 15.8ml. Assume that the population standard deviation is 0.8ml.

(i) State the null and the alternative hypotheses for the test

(ii) use the critical value apporach to test the bottler’s concern at alpha = 0.05

(iii) make a recommendation to the bottler

Math   Statistics-And-Probability   
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