Question

According to a travel​ website, workers in a certain country lead the world in vacation​ days, averaging 24.07 days per year. The following data show the number of paid vacation days for a random sample of 20 workers from this country.

9,19,5,26,2,25,8,20,18,35,23,31,24,27,30, 34,15,43,33,63

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.)

Answer 1

From the given data, the following statistics are calculated.

n = 20

= 500/20 = 25

s = 14.3417

SE = s/

= 14.3417/

3.2069

= 0.10

ndf = n -1 = 20-1 = 19

From Table, critical values of t = 1.7291

Confidence Interval:

25 (1.7291 X 3.2069)

= 20 5.5451

= ( 14.45 ,25.55)

The 90% confidence interval to estimate the average number of paid vacation days for workers from this country is from 14.45 days to 25.55 days.