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?
Family Progressive GEICO
Becker 2,090 1,610
Berry 1,247 1,683
Cobb 2,327 1,402
Debuck 1,367 1,830
DuBrul 1,461 930
Eckroate 1,789 697
German 1,621 1,741
Glasson 1,914 1,129
King 1,956 1,018
Kucic 1,772 1,881
Meredith 1,375 1,571
Obeid 1,527 874
Price 1,767 1,579
Phillips 1,636 1,577
Tresize 1,188 860