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 26.05 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. 23 35 6 30 24. 28 24 29 28 21 31 32 25 64 a. Construct a 90% confidence interval to estimate the average number of paid vacation days for workers from this country days to | | days The 90% confidence interval to estimate the average number of paid vacation days for workers from this country is from (Round to two decimal places as needed.)

Explanation / Answer

n = 20     

x-bar = 24.7     

s = 14.015     

% = 90     

Standard Error, SE = s/n =    14.015/20 = 3.13384927

Degrees of freedom = n - 1 =   20 -1 = 19   

t- score = 1.729132792     

Width of the confidence interval = t * SE =     1.72913279247219 * 3.13384927046596 = 5.41884154

Lower Limit of the confidence interval = x-bar - width =      24.7 - 5.41884154022773 = 19.28115846

Upper Limit of the confidence interval = x-bar + width =      24.7 + 5.41884154022773 = 30.11884154

The 90% confidence interval is [19.28, 30.12]

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