14 It is known that a hospital has a mean waiting time of 4 hours for its Accident and Emergency (A\&E) patients.
After some new initiatives were introduced, a random sample of 12 patients from the hospital's A\&E Department had the following waiting times, in hours.
| 4.25 | 3.90 | 4.15 | 3.95 | 4.20 | 4.15 |
| 5.00 | 3.85 | 4.25 | 4.05 | 3.80 | 3.95 |
Carry out a hypothesis test at the \(10 \%\) significance level to investigate whether the mean waiting time at this hospital's A\&E department has changed.
You may assume that the waiting times are normally distributed with standard deviation 0.8 hours.
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