| In a sample of 100pigs from a large population the following gains in weight (kg)during a 50 day interval were recorded: |
| 36 | 23 | 25 | 21 | 28 | 17 | 35 | 32 | 39 | 30 |
| 7 | 31 | 24 | 26 | 47 | 30 | 30 | 19 | 39 | 22 |
| 29 | 36 | 43 | 21 | 34 | 57 | 33 | 36 | 26 | 44 |
| 41 | 19 | 23 | 41 | 11 | 41 | 45 | 33 | 33 | 33 |
| 13 | 35 | 18 | 26 | 42 | 30 | 33 | 18 | 26 | 31 |
| 37 | 34 | 22 | 40 | 37 | 18 | 40 | 14 | 43 | 28 |
| 30 | 42 | 49 | 27 | 15 | 31 | 29 | 29 | 12 | 16 |
| 48 | 27 | 28 | 20 | 30 | 46 | 19 | 53 | 29 | 24 |
| 17 | 21 | 25 | 35 | 42 | 31 | 34 | 38 | 20 | 38 |
| 30 | 26 | 39 | 24 | 33 | 32 | 27 | 25 | 30 | 30 |
b. What's the prob of randomly selecting a pig that added atleast 44kg to its weight during the test? How does this predictednumber (predicted proportion/percent) compare with the actualnumber? *Hint: remember there are 100 total samples*
c. What's the probability that a pig would increase no less than10kg and no more than 47kg?
d. Construct a 99% confidence interval for this data.
