QuestionA study of the effect of caffeine on muscle metabolism used eighteen male volunteers who each underwent arm exercise tests. Nine 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). Does the data provide evidence that caffeine does, on average, reduce RER? PlaceboCaffeine 10496 119100 10094 9789 9896 10393 9489 95105 9888Mean100.8994.44Variance57.1131.28 ginfile.php1 / 1100%1. A study of the effect of caffeine on muscle metabolism used eighteen male volunteers whoeach underwent arm exercise tests. Nine of the men were randomly selected to take acapsule containing pure caffeine one hour before the test. The other men received a placebocapsule. During each exercise the subject's respiratory exchange ratio (RER) was measured.(RER is the ratio of CO2 produced to 02 consumed and is an indicator of whether energy isbeing obtained from carbohydrates or fats). Does the data provide evidence that caffeinedoes, on average, reduce RER?PlaceboCaffeine104961191001009497899896103939489951059888Mean100.8994.44Variance57.1131.28Null hypothesis:Alternative hypothesis:Computation for t:

Any Assumption about the parameter or probability function is known as Hypothesis testing. For the…

Answered: Question A study of the effect of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A study of the effect of caffeine on muscle metabolism used eighteen male volunteers who each underwent arm exercise tests. Nine 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). Does the data provide evidence that caffeine does, on average, reduce RER?

	Placebo	Caffeine
	104	96
	119	100
	100	94
	97	89
	98	96
	103	93
	94	89
	95	105
	98	88
Mean	100.89	94.44
Variance	57.11	31.28

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1. A study of the effect of caffeine on muscle metabolism used eighteen male volunteers who
each underwent arm exercise tests. Nine 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 02 consumed and is an indicator of whether energy is
being obtained from carbohydrates or fats). Does the data provide evidence that caffeine
does, on average, reduce RER?
Placebo
Caffeine
104
96
119
100
100
94
97
89
98
96
103
93
94
89
95
105
98
88
Mean
100.89
94.44
Variance
57.11
31.28
Null hypothesis:
Alternative hypothesis:
Computation for t:

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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