(b) A new fitness programme is devised for people who would lhke to lose Each participants' weight in kg was measured before and after the fitness program to see if it is effective in reducing their weights. The following data were obtained. Participant #1 #2 #3 #4 #5 #6 #7 #8 55 74 Before 86 65 93 52 66 67 After 81 62 71 49 83 51 61 63 i. Carry out an appropriate hypothesis test to determine whether the fitness programme is effective in reducing 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. State an alternative hypothesis test to determine whether the fitness pro- gramme is effective in reducing weight. Justify why you did not use this hypothesis test in part 4i. iv. Give a 95% confidence interval for the difference in means. v. On the basis of the data alone, would you consider trying this fitness programme if you wanted to lose weight? Provide an explanation with your answer.

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Hello, please help on part i to iii! 

I will post part iv and v as a separate question, thank you

(b) A new fitness programme is devised for people who would lhke to lose
Each participants' weight in kg was measured before and after the fitness
program to see if it is effective in reducing their weights. The following data
were obtained.
Participant #1 #2 #3 #4 #5 #6 #7 #8
55
74
Before
86
65
93
52
66
67
After
81
62
71
49
83
51
61
63
i. Carry out an appropriate hypothesis test to determine whether the fitness
programme is effective in reducing 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. State an alternative hypothesis test to determine whether the fitness pro-
gramme is effective in reducing weight. Justify why you did not use this
hypothesis test in part 4i.
iv. Give a 95% confidence interval for the difference in means.
v. On the basis of the data alone, would you consider trying this fitness
programme if you wanted to lose weight? Provide an explanation with
your answer.
Transcribed Image Text:(b) A new fitness programme is devised for people who would lhke to lose Each participants' weight in kg was measured before and after the fitness program to see if it is effective in reducing their weights. The following data were obtained. Participant #1 #2 #3 #4 #5 #6 #7 #8 55 74 Before 86 65 93 52 66 67 After 81 62 71 49 83 51 61 63 i. Carry out an appropriate hypothesis test to determine whether the fitness programme is effective in reducing 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. State an alternative hypothesis test to determine whether the fitness pro- gramme is effective in reducing weight. Justify why you did not use this hypothesis test in part 4i. iv. Give a 95% confidence interval for the difference in means. v. On the basis of the data alone, would you consider trying this fitness programme if you wanted to lose weight? Provide an explanation with your answer.
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