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    The president of the American Insurance Institute wants to c

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    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 a stipend to contact the two companies and ask for a price quote. To make the data comparable, certain features, such as the deductible amount 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?

    Two-Sample Tests of Hypothesis 401

    Progressive GEICO
    Family Car Insurance 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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    Solution Preview

    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 a stipend to contact the two companies and ask for a price quote. To make the data comparable, certain features, such as the deductible amount 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?

    Two-Sample Tests of Hypothesis 401

    Progressive ...

    Solution Summary

    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 a stipend to contact the two companies and ask for a price quote. To make the data comparable, certain features, such as the deductible amount 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?

    Two-Sample Tests of Hypothesis 401

    Progressive GEICO
    Family Car Insurance 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

    $2.19