3. A personal trainer claims that their exercise programme will lead to a reduction in weight. To test this claim, the weight in kg of 10 participants was measured before and after the programme. Let X, be the weight before and let Y, be the weight after the programme. Let D, be the difference: D, = Xi- Y. The following information is available: -31.71 and D; = 120.358. Page 4 of 15 Answer the following three questions. (a) Carry out an appropriate test on the Personal Trainer's claim. Explain why having the value D, in advance of the test should influence the test. (b) Redo the test if the the personal trainer now claims the exercise programme will lead to a reduction of at least 5 kg. (c) State the best method to explain what the data is showing about the exercise programme.

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