Jacob Lee is a frequent traveler between Los Angeles and San Francisco. For the past month, we wrote down the flight times on three different airlines. The results are:
| Goust | Jet red | Cloudtran | 
| 51 | 50 | 52 | 
| 51 | 53 | 55 | 
| 52 | 52 | 60 | 
| 42 | 62 | 64 | 
| 51 | 53 | 61 | 
| 57 | 49 | 49 | 
| 47 | 50 | 49 | 
| 47 | 49 | 
 | 
| 50 | 58 | 
 | 
| 60 | 54 | 
 | 
| 54 | 51 | 
 | 
| 49 | 49 | 
 | 
| 48 | 49 | 
 | 
| 48 | 50 | 
 | 
a. Use the .05 significance level and the five-step hypothesis-testing process to check if the there is a difference in the mean flight times.
b. Develop a 95% confidence interval for the difference in the means between Goust and Cloudtran.