In: Statistics and Probability
On average, they claim that a 1.69 oz bag will contain more than 54 candies. Test this claim (µ > 54) at the 0.01 significance (σ unknown).
| Blue | Orange | Green | Yellow | Red | Brown | Total Number of Candies in Bag | 
| 6 | 17 | 10 | 8 | 10 | 7 | 58 | 
| 8 | 8 | 11 | 12 | 9 | 10 | 58 | 
| 8 | 13 | 14 | 4 | 12 | 7 | 58 | 
| 7 | 13 | 10 | 7 | 14 | 7 | 58 | 
| 12 | 13 | 4 | 13 | 5 | 10 | 57 | 
| 13 | 8 | 12 | 13 | 1 | 10 | 57 | 
| 8 | 8 | 14 | 7 | 9 | 11 | 57 | 
| 16 | 10 | 10 | 5 | 11 | 4 | 56 | 
| 11 | 11 | 8 | 13 | 6 | 7 | 56 | 
| 10 | 9 | 14 | 10 | 9 | 4 | 56 | 
| 6 | 12 | 13 | 8 | 9 | 8 | 56 | 
| 14 | 10 | 2 | 13 | 7 | 10 | 56 | 
| 11 | 10 | 11 | 12 | 5 | 7 | 56 | 
| 14 | 11 | 8 | 6 | 7 | 10 | 56 | 
| 14 | 8 | 9 | 5 | 5 | 15 | 56 | 
| 11 | 12 | 10 | 12 | 7 | 3 | 55 | 
| 12 | 9 | 12 | 8 | 5 | 9 | 55 | 
| 7 | 12 | 10 | 7 | 10 | 9 | 55 | 
| 8 | 9 | 13 | 11 | 10 | 4 | 55 | 
| 10 | 11 | 9 | 10 | 6 | 9 | 55 | 
| 10 | 10 | 9 | 10 | 7 | 9 | 55 | 
| 9 | 3 | 9 | 13 | 8 | 13 | 55 | 
| 10 | 8 | 13 | 10 | 9 | 5 | 55 | 
| 11 | 6 | 11 | 7 | 8 | 12 | 55 | 
| 12 | 13 | 10 | 11 | 5 | 3 | 54 | 
| 12 | 8 | 5 | 15 | 8 | 6 | 54 | 
| 12 | 8 | 5 | 15 | 8 | 6 | 54 | 
| 14 | 14 | 9 | 4 | 6 | 7 | 54 | 
| 13 | 7 | 12 | 9 | 4 | 9 | 54 | 
| 13 | 10 | 11 | 8 | 5 | 6 | 53 | 
| 7 | 11 | 10 | 9 | 7 | 9 | 53 | 
| 9 | 14 | 8 | 6 | 6 | 10 | 53 | 
| 12 | 10 | 8 | 7 | 9 | 6 | 52 | 
| 10 | 7 | 11 | 7 | 8 | 8 | 51 | 
| 11 | 3 | 12 | 8 | 7 | 10 | 51 | 
| 8 | 10 | 12 | 6 | 7 | 6 | 49 |