Question

In: Statistics and Probability

According to a travel website, workers in a certain country lead the world in vacation days,...

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.

Solutions

Expert Solution

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

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