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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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