SOLUTION: Problem 11-38. Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times

Question 143677This question is from textbook Statistical Techniques in business and economics
: Problem 11-38. Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
Boat Times (minutes)
Prada (Italy) 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3
Oracle (U.S.A.) 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 19.0
This question is from textbook Statistical Techniques in business and economics

Answer by stanbon(48516) (Show Source):
You can put this solution on YOUR website!
Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
Boat Times (minutes)
Prada (Italy) 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3
Oracle (U.S.A.) 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 19.0
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Prada sample mean time = 12.17; s = 1.056..
Oracle sample mean time = 14.875; s = 2.2079...
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Ho: u(Prada)-u(Oracle) = 0
Ha: u(P)-u(O) is not zero
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I ran a 2-Sample Ttest on the data and got the following results:
test statistic: t= -3.759..
p-value = 0.0016..
df= 16.36
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Conclusion:
Since p is less than alpha=5%, reject Ho.
u(P) is not statistically the same as u(O)
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Cheers,
Stan H.