Construct a hypothesis test that detect whether there is difference in RER between two groups at .05 significant level (show steps) Construct a hypothesis test that detect whether Caffeine reduces RER compared to placebo at .05 significant level (show steps)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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  • A study of the effect of caffeine on muscle metabolism used 24 male volunteers who each underwent arm exercise tests. 12 of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to O2 consumed and is an indicator of whether energy is being obtained from carbohydrates or fats). The question of interest to the experimenter was whether, on average, caffeine changes RER. Data is in:

 

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

  1. Construct a hypothesis test that detect whether there is difference in RER between two groups at .05 significant level (show steps)
  2. Construct a hypothesis test that detect whether Caffeine reduces RER compared to placebo at .05 significant level (show steps)
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