Question
A vehicle lighting engineer wanted to evaluate process of making stop lamp production line. The stop lamps must meet the luminous intensity requirements specified in
A vehicle lighting engineer wanted to evaluate process of making stop lamp production line. The stop lamps must meet the luminous intensity requirements specified in the Federal Motor Vehicle Safety Standard 108. The standard requires that each manufactured stop lamp must not produce luminous intensity greater than 300 candelas and no less than 60 candelas. The engineer measured luminous intensity of six randomly drawn tail lamps from each day's production for over 25 consecutive work days. The data are provided below.
Does the company meet Federal Motor Vehicle Safety Standard 108?
Guidance:
- State the appropriate/sequence analysis that you plan to follow and State why?
- Refer to specific data in the analysis that will be used for making decisions.
- If you have to make an assumption, state the assumption.
| Stop Lamp Intensity Data (Measured in candelas directed along lamp axis) | ||||||
| Day (Subgroup Number) | Sample 1 | Sample 2 | Sample 3 | Sample 4 | Sample 5 | Sample 6 |
| 1 | 182.7525 | 148.3437 | 181.4500 | 105.3335 | 70.0500 | 156.0477 |
| 2 | 153.3354 | 91.9254 | 223.7872 | 138.5683 | 202.4554 | 81.0864 |
| 3 | 278.8600 | 320.4500 | 160.8959 | 225.3546 | 214.2414 | 323.6700 |
| 4 | 172.1962 | 90.6688 | 184.5007 | 130.9003 | 137.4145 | 180.4376 |
| 5 | 188.5203 | 107.9802 | 84.4981 | 108.4748 | 196.3269 | 201.3176 |
| 6 | 121.7920 | 155.4759 | 192.3153 | 180.5695 | 119.6950 | 177.4087 |
| 7 | 46.3561 | 57.3000 | 101.2628 | 117.9930 | 124.1918 | 65.0000 |
| 8 | 237.3607 | 176.9007 | 85.1908 | 179.9382 | 265.4626 | 171.1042 |
| 9 | 222.1822 | 140.2529 | 185.9309 | 160.5219 | 152.1929 | 197.9807 |
| 10 | 78.6825 | 61.9989 | 58.5600 | 113.7648 | 144.3852 | 69.3000 |
| 11 | 176.9754 | 181.2777 | 204.7568 | 76.6200 | 249.6410 | 223.9811 |
| 12 | 146.7970 | 161.9977 | 118.3967 | 255.7315 | 162.1274 | 180.0665 |
| 13 | 154.0822 | 170.3851 | 160.4711 | 129.9792 | 211.0853 | 174.2429 |
| 14 | 234.6956 | 231.1796 | 187.3336 | 158.7634 | 190.5015 | 148.3172 |
| 15 | 124.5893 | 211.9066 | 249.6577 | 89.3059 | 138.6948 | 204.5938 |
| 16 | 135.3645 | 218.6214 | 186.0294 | 190.1362 | 192.0286 | 160.9371 |
| 17 | 132.0349 | 91.6663 | 187.5714 | 243.8086 | 191.9021 | 136.2311 |
| 18 | 222.8563 | 97.8855 | 116.9568 | 98.5582 | 123.1949 | 166.3439 |
| 19 | 147.6779 | 178.5980 | 232.7669 | 158.2369 | 137.5820 | 127.3525 |
| 20 | 289.5600 | 305.6020 | 141.5561 | 56.5600 | 178.3605 | 80.0682 |
| 21 | 103.2748 | 180.1074 | 184.7230 | 131.6536 | 80.7579 | 214.1831 |
| 22 | 253.0183 | 206.3307 | 185.0581 | 174.4404 | 154.8177 | 207.3145 |
| 23 | 82.2395 | 135.1930 | 190.2676 | 189.1059 | 160.2788 | 112.0033 |
| 24 | 174.3280 | 151.7704 | 102.3860 | 188.9163 | 257.4749 | 146.3062 |
| 25 | 153.7029 | 115.8488 | 154.6188 | 139.4667 | 149.6967 | 169.7729 |
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An Introduction to the Mathematics of financial Derivatives
Authors: Salih N. Neftci
2nd Edition
978-0125153928, 9780080478647, 125153929, 978-0123846822
