In: Statistics and Probability
1) A simple random sample of four employees of AIG (which has 20,000 employees in all) provided the following information on how long they have been working with the firm.
| 
 Employee:  | 
 Joe  | 
 Bryn  | 
 Paige  | 
 Tristan  | 
| 
 Years with firm:  | 
 20  | 
 35  | 
 20  | 
 25  | 
(Assume that “years with firm” for the 20,000 AIG employees is normally distributed).
What are the degrees of freedom (df) for this problem?
Calculate a point estimate of the average (mean) number of years with the firm of all AIG’s employees.
Calculate the sample standard deviation of years with the firm of the 4 employees sampled
Find the margin of error for a 95% confidence level.