In: Statistics and Probability
The table below will be used for the following five questions. The table represents the mean and standard deviation graduation rates, by candidate age, for a population of flight academies. ( No more data was provided). If you only know one method to solve a problem, please don't add a comment asking for more data!
| 
 Age  | 
 Mean Graduation Rate  | 
 Standard Deviation  | 
| 
 16  | 
 76.6  | 
 1.8  | 
| 
 17  | 
 74.2  | 
 1.8  | 
| 
 18  | 
 79.5  | 
 1.7  | 
| 
 19  | 
 79.6  | 
 2.1  | 
| 
 20  | 
 81.2  | 
 2.1  | 
| 
 21  | 
 84.2  | 
 2.2  | 
| 
 22  | 
 85.5  | 
 2.1  | 
| 
 23  | 
 88.5  | 
 1.4  | 
| 
 24  | 
 86.5  | 
 1.5  | 
| 
 25  | 
 87.7  | 
 1.9  | 
| 
 26  | 
 87.8  | 
 1.5  | 
| 
 27  | 
 88.1  | 
 1.6  | 
| 
 28  | 
 89.8  | 
 1.8  | 
| 
 29  | 
 90.1  | 
 1.8  | 
| 
 30  | 
 87.8  | 
 2.3  | 
| 
 31  | 
 88.3  | 
 2.2  | 
| 
 32  | 
 88.3  | 
 1.7  | 
| 
 33  | 
 84.5  | 
 1.9  | 
| 
 34  | 
 85.1  | 
 1.6  | 
| 
 35  | 
 88.1  | 
 1.4  | 
| 
 36  | 
 88.2  | 
 1.5  | 
| 
 37  | 
 86.5  | 
 1.4  | 
| 
 38  | 
 84.5  | 
 1.8  | 
| 
 39  | 
 88.8  | 
 1.9  | 
| 
 40  | 
 84.4  | 
 1.6  | 
1)A flight academy boasts it is among the top 10% for graduation rates among its 25-year old candidates. This academy’s graduation rate is 89.1 over the last two years for 25-year old candidates. Is the claim that this flight academy is in the top 10% a true statement? Explain.
2)A flight academy wants to invest in new training methods to improve its graduation rate of 18-year old candidates. This academy’s graduation rate for 18-year old candidates is 82.6 for the past ten years. Should the academy invest in the new training methods? Explain.