Question 250897: 7. The pulse rates below were recorded over a 30-second time period, both before and after a physical fitness regimen. The data is shown below for 8 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume pulse rates are normally distributed. Test using a = 0.05.
•State the null and alternate hypotheses
•Calculate the mean and standard deviation
•Determine which test statistic applies, and calculate it
•Determine the critical value(s).
•State your decision: Should the null hypothesis be rejected?
Before 43 34 37 41 41 59 36 58
After 37 36 40 49 52 51 31 55
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The pulse rates below were recorded over a 30-second time period, both before and after a physical fitness regimen. The data is shown below for 8 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume pulse rates are normally distributed. Test using a = 0.05.
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Improvement would mean the pulse rates would decrease so Before-After > 0
Calculate the difference data and find the mean and standard deviation of
that data. d-bar = ? ; s =
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•State the null and alternate hypotheses
Ho: d-bar=0
H1: d-bar > 0
•Calculate the mean and standard deviation
d-bar = 0 ; = s = 6.4587
•Determine which test statistic applies, and calculate it
t(0) = (0-0)/6.4587/(sqrt(8)] = 0
p-value = 0.50
•Determine the critical value(s).
invT(0.95,7) = 1.8946
•State your decision: Should the null hypothesis be rejected?
Since ts is < 1.8946 fail to reject Ho
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Before::::::: 43 34 37 41 41 59 36 58
After:::::::: 37 36 40 49 52 51 31 55
Befor-After::..6.-2.-3.-8.-9..8..5..3
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Cheers,
Stan H.
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