Homework SourseConsider the following frequency table of observation on the
Consider the following frequency table of observation on the random variable X.
Values
0
1
2
3
4
5
Observed Frequency
8
25
23
21
16
7
Based on these 100 observations, is a Poisson distribution with a mean of 2.4 an appropriate model? Perform a goodness-of-fit procedure with
Calculate the P-value for this test. show youre work for this
Solution
See that the mean and std deviation are not the same.
Hence Poisson cannot be fitted
| Values | Observed Frequency | f*x | f*x^2 | ||
| 0 | 8 | 0 | 0 | ||
| 1 | 25 | 25 | 25 | ||
| 2 | 23 | 46 | 92 | ||
| 3 | 21 | 63 | 189 | ||
| 4 | 16 | 64 | 256 | ||
| 5 | 7 | 35 | 175 | ||
| 100 | 233 | 737 | |||
| Mean | 2.33 | ||||
| Variance | 1.9411 | ||||
| Std dev | 1.393234 |
