Question 464220: A physiologist wishes to study the effect of birth control pills on exercise capacity. Five female subjects who have never taken the pill have their maximal oxygen uptake measured during a treadmill session. The five subjects then take the pill for a specified length of time and their uptakes are measured again, as given below. Do the data provide sufficient evidence to indicate that the mean maximal oxygen uptake after taking birth control pills is less than the mean uptake before taking the pill?
Use α = .01.
MAXIMAL OXYGEN UPTAKE
SUBJECT BEFORE AFTER
1 35.0 29.5
2 36.5 33.5
3 36.0 32
4 39.0 36.5
5 37.5 35.0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A physiologist wishes to study the effect of birth control pills on exercise capacity. Five female subjects who have never taken the pill have their maximal oxygen uptake measured during a treadmill session. The five subjects then take the pill for a specified length of time and their uptakes are measured again, as given below. Do the data provide sufficient evidence to indicate that the mean maximal oxygen uptake after taking birth control pills is less than the mean uptake before taking the pill?
Use alpha = .01.
MAXIMAL OXYGEN UPTAKE
SUBJECT BEFORE AFTER
1 35.0 29.5
2 36.5 33.5
3 36.0 32
4 39.0 36.5
5 37.5 35.0
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Procedure:
Calculate the 5 "after"-"before" differences.
Find the mean of those 5 differences: I get d-bar = -3.5 and s-diff = 1.2748
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Ho: u(difference) = 0
Ha: u(difference) < 0
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test statistic: t = (-3.5-0)/[1.2748/sqrt(5)) = -6.14
----
P-value = P(t < -6.14,df = 4) = 0.001
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Since the p-value is less than 1%, reject Ho.
The test results support the claim that the
mean uptake is less after taking the pill.
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Cheers,
Stan H.
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