# Q11-48 Two boats, the Prada (Italy) and the Oracle (U.S.A.), are c...

## Transcribed Text

Q11-48 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 Q 11-52 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 below. At the .10 significance level, can we conclude that there is a difference in the amounts quoted? Family Progressive Car Insurance Geico Mutual Insurance Becker \$2,090 \$1,610 Berry 1,683 1,247 Cobb 1,402 2,327 Debuck 1,830 1,367 DuBrul 930 1,461 Eckroate 697 1,789 German 1,741 1,621 Glasson 1,129 1,914 King 1,018 1,956 Kucic 1,881 1,772 Meredith 1,571 1,375 Obeid 874 1,527 Price 1,579 1,767 Phillips 1,577 1,636 Tresize 860 1,188

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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. ...

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