In: Statistics and Probability
An engineering company, Faison Industries claims that the mean time it takes an employee to evacuate a building during a fire drill is less than 60 seconds. The union believes this is untrue and contracts a company to test the claim. A random sample of 50 employees and their evacuation times (in seconds) is listed in the stem-and-leaf plot below. At level of significance at 0.01, can you reject the company’s claim.
| 
 0  | 
 7,9  | 
| 
 1  | 
 1,9,9  | 
| 
 2  | 
 2,6,7,9,9  | 
| 
 3  | 
 1,1,6,7,7,9,9  | 
| 
 4  | 
 1,1,3,3,3,4,6,6,7  | 
| 
 5  | 
 2,3,4,5,7,8,8,8,9,9  | 
| 
 6  | 
 1,3,3,4,6,6,7  | 
| 
 7  | 
 4,6,9  | 
| 
 8  | 
 4,6  | 
| 
 9  | 
 4  | 
| 
 10  | 
 2  | 
-Is there enough evidence to reject the engineering firm’s claim? Interpret your result.