Problem 3 Displayed below is a pair of frequency distributio
Problem 3 Displayed below is a pair of frequency distribution containing serum cotinine levels for a grou of cigarette smokers and a group of nonsmokers. These measurements were recorded as part of study investigating various risk factors for cardiovascular disease.
a. Compare the grouped mean and grouped standard deviation of the serum cotinine leve measurements for both smokers and nonsmokers. For the last interval—300+ ng/ml— consider the midpoint of the interval to be 340 ng/ml.
b. In which interval does the median serum cotinine level fall for smokers? For nonsmokers?
c. Compare the distribution of serum cotinine levels for smokers and nonsmokers.
I just want to check my numbers thanks!!
| Continie level | Smokers | Non-smokers |
| (0-13) | 90 | 4200 |
| 14-49 | 125 | 57 |
| 50-99 | 166 | 36 |
| 100-149 | 220 | 12 |
| 150-199 | 89 | 5 |
| 200-249 | 213 | 6 |
| 250-299 | 249 | 19 |
| 300+ | 469 | 21 |
Solution
(a)
(b)
For smokers median lies in the interval 200-249.
For non-smokers the median lies in the interval 0-13.
(c)
By comparing the two frequency distributions it is found that serum cotinine level is very high for smokers and extremely low for non-smokers.
| Mean | Standard deviation | |
| Smoker | 206.933 | 114.978 |
| Non-smoker | 1.373 | 33.626 |
