According to a travel website, workers in a certain country lead the world in va

Question

According to a travel website, workers in a certain country lead the world in vacation days, averaging 24.95 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. 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 days to days (Round to two decimal places as needed.)

Explanation / Answer

from above std error =std deviation/(n)1/2  where n=20

=3.071

here degree of freedom =n-1 =19

hence from t value table for 19 df and 90% CI, t=1.729

hence confidence interval=mean +/- t*std error =17.44 ; 28.06

X 2 3 8 7 13 23 16 28 20 27 22 27 24 15 28 25 35 35 35 62 mean 22.75 std deviation 13.73

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