In: Statistics and Probability
According to a travel website, workers in a certain country lead the world in vacation days, averaging 21.98 days per year. The following data show the number of paid vacation days for a random sample of 20 workers from this country. Complete parts a through c below.
| 
 88  | 
 44  | 
 88  | 
 66  | 
 1919  | 
 2222  | 
 1818  | 
 2222  | 
 1919  | 
 2727  | 
|
| 
 2020  | 
 3030  | 
 2929  | 
 1616  | 
 3232  | 
 2929  | 
 3434  | 
 3434  | 
 3636  | 
 6262  | 
| 
 a.  | 
Construct a 90 % confidence interval to estimate the average number of paid vacation days for workers from this country. | 
The 90 % confidence interval to estimate the average number of paid vacation days for workers from this country is from nothing days to nothing days.
| sample mean x= | 23.750 | 
| sample size n= | 20.00 | 
| sample std deviation s= | 13.290 | 
| std error sx=s/√n= | 2.9717 | 
| for 90% CI; and 19 df, critical t= | 1.7291 | |
| margin of error E=t*std error = | 5.138 | |
| lower bound=sample mean-E = | 18.612 | |
| Upper bound=sample mean+E= | 28.888 | |
| from above 90% confidence interval for population mean =18.61 days to 28.89 days | ||