Question: The bad debt ratio for a financial institution is defined to be the dollar value of loans defaulted divided by the total dollar value of
The bad debt ratio for a financial institution is defined to be the dollar value of loans defaulted divided by the total dollar value of all loans made. Suppose that a random sample of sixty-five banks in Illinois is selected and that their bad debt ratios (recorded as a percentage) are presented in this file:
| bank | Bad Debt Ratio |
| 1 | 3.38 |
| 2 | 5.15 |
| 3 | 4.63 |
| 4 | 9.69 |
| 5 | 8.32 |
| 6 | 3.58 |
| 7 | 5.9 |
| 8 | 7.33 |
| 9 | 6.28 |
| 10 | 6.87 |
| 11 | 3.93 |
| 12 | 5.76 |
| 13 | 3.98 |
| 14 | 3.66 |
| 15 | 7.46 |
| 16 | 5.59 |
| 17 | 6.39 |
| 18 | 6.49 |
| 19 | 2.31 |
| 20 | 7.84 |
| 21 | 9.2 |
| 22 | 4.64 |
| 23 | 5.38 |
| 24 | 4.23 |
| 25 | 7.12 |
| 26 | 3.48 |
| 27 | 2.87 |
| 28 | 4.59 |
| 29 | 7.43 |
| 30 | 8.34 |
| 31 | 5.15 |
| 32 | 5.84 |
| 33 | 4.95 |
| 34 | 5.6 |
| 35 | 7.52 |
| 36 | 5.23 |
| 37 | 7.88 |
| 38 | 8.86 |
| 39 | 4.42 |
| 40 | 6.64 |
| 41 | 9.25 |
| 42 | 6.53 |
| 43 | 5.35 |
| 44 | 6.04 |
| 45 | 5.19 |
| 46 | 2.87 |
| 47 | 2.91 |
| 48 | 1.77 |
| 49 | 2.34 |
| 50 | 4.22 |
| 51 | 3.2 |
| 52 | 3.14 |
| 53 | 2.86 |
| 54 | 4.05 |
| 55 | 2.01 |
| 56 | 3.42 |
| 57 | 4.38 |
| 58 | 3.1 |
| 59 | 1.76 |
| 60 | 3.16 |
| 61 | 4.06 |
| 62 | 4.21 |
| 63 | 2.16 |
| 64 | 2.76 |
| 65 | 2.46 |
Banking officials claim that the mean bad debt ratio for all Midwestern banks is 3.5 percent and that the mean bad debt ratio for Illinois banks is higher.
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