In: Statistics and Probability
1. Suppose we have two sets of prediction for the inflation rate for next year: one from a random sample of Fortune 500 firms and another from a random sample of university economists. At 0.05 level can it be claimed that on the average university educators are predicting a higher inflation rate for next year than the major private businesses?
| 
 Fortune 500 Firms  | 
 4.3%  | 
 3.8%  | 
 6.0%  | 
 4.4%  | 
 5.1%  | 
 5.6%  | 
 4.2%  | 
 6.1%  | 
 4.5%  | 
 4.0%  | 
| 
 University Economists  | 
 4.4%  | 
 5.9%  | 
 7.0%  | 
 5.1%  | 
 5.9%  | 
 7.2%  | 
 6.3%  | 
Show the equation for computing the standard error.