Participant #1 #2 #3 #4 #5 #6 #7 #8 Before 86 65 74 55 93 52 66 67 After 81 62 71 49 83 51 61 63 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 State any assumptions you made in (i). State an alternative hypothesis test to determine whether the fitness programme is effective in reducing weight. Justify why you did not use this hypothesis test in part (i). Give a 95% confidence interval for the difference in 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

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A new fitness programme is devised for people who would like to lose weight. 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

Before

86

65

74

55

93

52

66

67

After

81

62

71

49

83

51

61

63

  1. 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
  2. State any assumptions you made in (i).
  • State an alternative hypothesis test to determine whether the fitness programme is effective in reducing weight. Justify why you did not use this hypothesis test in part (i).
  1. Give a 95% confidence interval for the difference in
  2. 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

 

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