Question

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

22.06 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.

55	55	1010	44	1818	1616	2525	2525	2424	3333
1515	2929	2626	2424	3131	3535	2929	3232	4343	5959

a.a.	Construct a 99​% confidence interval to estimate the average number of paid vacation days for workers from this country.

The 99​% confidence interval to estimate the average number of paid vacation days for workers from this country is from nothing __days to nothing __days.

Answer 1

Solution: Given that 5,5,10,4,18,16,25,25,24,33,15,29,26,24,31,35,29,32,43,59

x = 22.06, sd = 13.4806, n = 20, 99% Confidence interval

df = 19, t = 2.861

99% Confidence interval for the average number = X +/- t*s/sqrt(n)
= 22.06 +/- 2.861*13.4806/sqrt(20)
= (13.4359 , 30.6841)