=====Mathematics 241 - Spring 2016=====

==== 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|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)