In: Statistics and Probability
In US, the mean weekly earning of male works was $1005 last year. A random sample of 50 female workers, their weekly earnings also last year in dollars are provided in the following table.
| 
 560  | 
 360  | 
 688  | 
 1301  | 
 49  | 
 582  | 
 751  | 
 4131  | 
 3211  | 
 646  | 
| 
 1312  | 
 1931  | 
 764  | 
 297  | 
 232  | 
 699  | 
 88  | 
 364  | 
 1111  | 
 427  | 
| 
 1235  | 
 494  | 
 3430  | 
 298  | 
 245  | 
 448  | 
 785  | 
 1931  | 
 994  | 
 152  | 
| 
 875  | 
 920  | 
 826  | 
 756  | 
 440  | 
 448  | 
 295  | 
 646  | 
 896  | 
 353  | 
| 
 619  | 
 887  | 
 1079  | 
 59  | 
 219  | 
 1019  | 
 1001  | 
 411  | 
 1217  | 
 562  | 
At the 5% significance level, do the data provide sufficient evidence to conclude that last year the mean weekly earnings of female workers are less than the mean weekly earnings of male workers?