In theory, Monte Carlo studies rely on computers to generate large sets of random numbers. Particula
Question: In theory, Monte Carlo studies rely on computers to generate large sets of random numbers. Particularly important are random variables representing the uniform pdf defined over the unit interval, \[{{f}_{Y}}(y)=1,0\le y\le 1.\] In practice, though, computers typically generate pseudorandom numbers, the latter being values produced systematically by sophisticated algorithms that presumably mimic “true” random variables. Below are one hundred pseudorandom numbers from a uniform pdf. Set up and test the appropriate goodness-of-fit hypothesis. Let \[\alpha =0.05\]
| 0.216 | 0.673 | 0.130 | 0.587 | 0.044 | 0.501 | 0.958 | 0.415 | 0.872 | 0.329 |
| 0.786 | 0.243 | 0.700 | 0.157 | 0.614 | 0.071 | 0.528 | 0.985 | 0.442 | 0.899 |
| 0.356 | 0.813 | 0.270 | 0.727 | 0.184 | 0.641 | 0.098 | 0.555 | 0.012 | 0.469 |
| 0.926 | 0.383 | 0.840 | 0.297 | 0.754 | 0.211 | 0.668 | 0.125 | 0.582 | 0.039 |
| 0.496 | 0.953 | 0.410 | 0.867 | 0.324 | 0.781 | 0.238 | 0.695 | 0.152 | 0.609 |
| 0.66 | 0.523 | 0.980 | 0.437 | 0.894 | 0.351 | 0.808 | 0.265 | 0.722 | 0.179 |
| 0.636 | 0.093 | 0.550 | 0.007 | 0.464 | 0.921 | 0.378 | 0.835 | 0.292 | 0.749 |
| 0.206 | 0.663 | 0.120 | 0.577 | 0.034 | 0.491 | 0.948 | 0.405 | 0.862 | 0.319 |
| 0.776 | 0.233 | 0.690 | 0.147 | 0.604 | 0.061 | 0.518 | 0.975 | 0.432 | 0.889 |
| 0.346 | 0.803 | 0.260 | 0.717 | 0.174 | 0.631 | 0.088 | 0.545 | 0.002 | 0.459 |
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