Please do all parts! Do not use statistics software. I want tosee the formulas.
study of the effect of caffeine on muscle metabolism used 24male volunteers who each underwent arm exercise tests. 12 of themen were randomly selected to take a capsule containing purecaffeine one hour before the test. The other men received a placebocapsule. During each exercise the subject's respiratory exchangeratio (RER) was measured. (RER is the ratio of CO2 produced to O2consumed and is an indicator of whether energy is being obtainedfrom carbohydrates or fats). The question of interest to theexperimenter was whether, on average, caffeine changes RER. Data isin:
Placebo | Caffeine |
105 | 96 |
119 | 99 |
100 | 94 |
97 | 89 |
96 | 96 |
101 | 93 |
94 | 88 |
95 | 105 |
98 | 88 |
95 | 90 |
103 | 97 |
102 | 92 |
a. Construct a hypothesis test that detect whether thereis difference in RER between two groups at .05 significant level(show steps)
b. Construct a hypothesis test that detect whetherCaffeine reduces RER compared to placebo at .05 significant level(show steps)
