Chest circumference for 5732 militiamen, Data was collected by an army contractor who was responsible for providing clothing for militia. A frequency distribution for the chest circumferences in inches is given
| Chest size (in.) |
Frequency |
| 33 |
3 |
| 34 |
19 |
| 35 |
81 |
| 36 |
189 |
| 37 |
409 |
| 38 |
753 |
| 39 |
1062 |
| 40 |
1082 |
| 41 |
935 |
| 42 |
646 |
| 43 |
313 |
| 44 |
168 |
| 45 |
50 |
| 46 |
18 |
| 47 |
3 |
| 48 |
1 |
procedure for fitting a normal curve (a special type of bell-shaped curve) to data on chest circumference.
Using procedure for fitting normal curve to the data based on binomial distribution.
A) Construct a relative-frequency histogram for the chest circumference data, using classes based on a single value.
B) The population mean and population standard deviation of the chest circumferences are 39.85 and 2.07, respectively. Identify the normal curve that should be used for the chest circumferences.
C) Use the table to find percentage of militiamen with chest circumference between 36 and 41, inclusive. NOTE: as the circumference went rounded to the nearest inch, you are actually finding the percentage of militiamen with chest circumference between 35.5 and 41.5 inches.
D) Use the normal curve you identified in part (b) to obtain an approximation to the percentage of militiamen in the survey with chest circumference between 35.5 and 41.5 inches. Compare your answers to the exact percentages found in part (c)