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 |