Mathematics (AS & A Level) · May / June 2019 · Paper 73 · Question 5
9709
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The amount of money, in dollars, spent by a customer on one visit to a certain shop is modelled by the distribution N-, 1.94 . In the past, the value of - has been found to be 20.00, but following a rearrangement in the shop, the manager suspects that the value of - has changed. He takes a random sample of 6 customers and notes how much they each spend, in dollars. The results are as follows. 17.60 23.50 17.30 22.00 31.00 15.50 The manager carries out a hypothesis test using a significance level of !%. The test does not support his suspicion. Find the largest possible value of !. [6] 7
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