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Mathematics 241 - Spring 2015
Homework
Section 23.1
Exercise Set A: 1, 2, 3, 4, 9
Section 23.2
Exercise Set B: 1, 4, 5, 6, 7
Section 23.3
Exercise Set C: 1, 5, 6
Section 23.4
Exercise Set D: 1, 2, 4, 6
Also:
- The file http://dananne.org/fu/courses/math-241/R/height.txt contains the observed heights of 200 male adults. Find (a) 95%, (b) 90%, ( c) 80%, and (d) 99% confidence intervals for the true average height of adult males.
- Suppose 50 light bulbs are tested, with lifetimes given in the table below. Find (a) 95% and (b) 90% confidence intervals for the true average lifetime of such a light bulb.
| 172.0 | 273.9 | 175.5 | 1708.7 | 823.3 | 78.9 |
| 740.7 | 836.5 | 292.0 | 392.3 | 567.3 | 688.7 |
| 228.9 | 1462.5 | 454.4 | 154.2 | 157.3 | 258.0 |
| 1121.8 | 1160.6 | 1490.1 | 15.0 | 102.7 | 234.2 |
| 544.6 | 64.3 | 6.5 | 381.5 | 811.7 | 666.2 |
| 519.3 | 244.5 | 211.3 | 1372.9 | 107.7 | 402.6 |
| 1651.8 | 475.2 | 670.5 | 224.7 | 170.5 | 593.5 |
| 847.9 | 510.4 | 399.7 | 337.9 | 273.8 | 1551.2 |
| 557.2 | 3322.5 |
Answers:
1. (a) (68.81, 70.08) (b) (68.92, 69.98) (c) (69.03, 69.86) (d) (68.61, 70.28)
2. (a) (443.5, 776.8) (b) (470.7, 749.6)
