2 The volume, in millilitres, of lemonade in mini-cans may be assumed to be normally distributed with a standard deviation of 3.5.
The volumes, in millilitres, of lemonade in a random sample of 12 mini-cans were as follows.
| 155 | 148 | 156 | 149 | 147 | 156 |
| 157 | 156 | 150 | 154 | 148 | 154 |
- Construct a \(98 \%\) confidence interval for the mean volume of lemonade in a mini-can, giving the limits to one decimal place.
- On each mini-can is printed " 150 ml ". Comment on this, using the given sample and your confidence interval in part (a).
- State why, in part (a), use of the Central Limit Theorem was not necessary.