8.13 In an advertisement it is claimed that a brand of domestic air freshener will last on...

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8.13 In an advertisement it is claimed that a brand of domestic air freshener will last on average at least 70 days. The mean and standard deviation of the lifetimes of a sample of 19 air fresheners were 69.3 days and 2.9 days respectively.

(a) Test the claim made for the product using a 5 per cent level of significance.

(b) What assumption must be made for the test to be valid?

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