Question: A particular diet has been advertised in a well-known day-time TV chat show with the claim "guaranteed: at least 5 kilos gone in a week". A sample of ten people who have followed the diet for a week showed an average weight loss of 5.3 kilos. Assume that the population standard deviation is 1.75 kilos.

1. Use an upper tail test to test the claim used to market the diet at the 5% significance level.
2. What do you think of the claim used to market the diet?
3. Compute the power of this test, assuming that the true mean weight loss is 5.5 kilos.

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