ndom sample of 9 people tried a specific diet that lasted 2 months to lose weight. The weights of these people, measured in kilograms, were measured at both the beginning and the end of the diet, and are shown in the table below: Weight before diet Weight after diet 75 73 76 72 90 92 92 93 89 89 63 61 65 62 80 76 90 84 (i)Carry out an appropriate hypothesis test to determine whether the diet is effective in helping people lose weight. State the test hypotheses, and specify your test statistic and its distribution under the null hypothesis. Comment on your findings. (ii)State any assumptions you made in(i) (iii)Give a 90% confidence interval for the difference between the means of the weights before and after the diet.

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A random sample of 9 people tried a specific diet that lasted 2 months to lose weight. The weights of these people, measured in kilograms, were measured at both the beginning and the end of the diet, and are shown in the table below: Weight before diet Weight after diet 75 73 76 72 90 92 92 93 89 89 63 61 65 62 80 76 90 84 (i)Carry out an appropriate hypothesis test to determine whether the diet is effective in helping people lose weight. State the test hypotheses, and specify your test statistic and its distribution under the null hypothesis. Comment on your findings. (ii)State any assumptions you made in(i) (iii)Give a 90% confidence interval for the difference between the means of the weights before and after the diet.
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