I have this question regarding Hypothesis testing for Business Statistics and as per usual, the lecture seemed so simple and yet I'm faced with a difficult question. If anyone would be so kind to help me with the step-by-step procedure on how to solve this equation, it would be very helpful. Thank you!
Following an advertising campaign, ten people volunteered to embark on a new diet.The company advertising this diet also recruited ten additional people with the sameweights and matched pairs from each group by weight. During the five weeks that thediet lasted, the group that was not dieting undertook an exercise programme andmaintained their eating habits.
The weights of both groups of participants were taken at the start and after the fiveweek programme and are summarised in the table below:
Determine whether you believe the diet was successful (or not), in all cases startingby stating the hypothesis you are testing:
the more appropriate analysis.
Following an advertising campaign, ten people volunteered to embark on a new diet.The company advertising this diet also recruited ten additional people with the sameweights and matched pairs from each group by weight. During the five weeks that thediet lasted, the group that was not dieting undertook an exercise programme andmaintained their eating habits.
The weights of both groups of participants were taken at the start and after the fiveweek programme and are summarised in the table below:
Determine whether you believe the diet was successful (or not), in all cases startingby stating the hypothesis you are testing:
- Assuming the two samples taken from the group embarking on the diet(before and after the diet) were independent;
- Assuming paired samples;
- When compared to the performance of the group on the exercise programme;
- Comment on the outcomes, including an indication of which of the above is
Participant | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Weight at start (all weights in kgs) | 90 | 95 | 100 | 80 | 82 | 93 | 115 | 75 | 70 | 99 |
Weight after diet | 80 | 92 | 83 | 78 | 78 | 92 | 95 | 68 | 71 | 90 |
Weight after exercise programme | 85 | 88 | 92 | 76 | 79 | 90 | 110 | 70 | 65 | 90 |