Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot inthe upcoming
America's Cup race. They race over a part of the course several times. Below are the sample times in
minutes. Assume the population standard deviations are not the same. 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 11.013.3 11.211.411.612.3 14.211.3
Oracle (U.S.A.) 14.1 14.1 14.2 17. 15 .8 16.7 16.1 13.3 13.4 13.6 10.8 19.0
The president of the American Insurance Institute wants to compare the yearly costs of auto
insurance offered by two leading companies. He selects a sample of 15 families, some with only a
single insured driver, others with several teenage drivers, and pays each family stipend to contact
the two companies and ask for a price quote. Tomake the data comparable, certain features, such as
the amount deductible and limits of liability, are standardized The sample information is reported
At the .10 significance level, can we conclude that there is a difference in the amounts quoted?
Family Progressive Car Insurance
Geico Mutual Insurance
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The t-statistic is -3.76 the absolute value of which is a lot larger than the critical value with the degrees of freedom 16, 2.119. ...