The president of American insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies. He picks a sample of 15 families some with only the single insured driver, others with many teenage drivers, and pays each family the stipend to contact the two companies and ask for the 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 0.10 significance level, can we conclude that there is the 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 |
| Oennan |
1,741 |
1,621 |
| Glasson |
1,129 |
1,914 |
| King |
1,018 |
1,956 |
| Kucic |
1,881 |
1,777 |
| Meredith |
1,571 |
1,375 |
| Obeid |
874 |
1,527 |
| Poice |
1,579 |
1,767 |
| Phillips |
1,677 |
1,636 |
| Tresize |
860 |
1,188 |