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 26.08 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.) b. Do the results from this sample validate the website's findings? A. Since the population mean, 26.08, is not contained within the 90% confidence interval, it can be said with 90% confidence that the sample validates the website's findings B. Since the population mean, 26.08, is not contained within the 90% confidence interval, it can be said with 90% confidence that the sample does not validate the website's findings C. Since the population mean, 26.08, is contained within the 90% confidence interval, it can be said with 90% confidence that the sample validates the website's findings D. Since the population mean, 26.08, is contained within the 90% confidence interval, it can be said with 90% confidence that the sample does not validate the website's findings.

Explanation / Answer

for 90% CI, and n-1=19 degree of freedom ; t=1.729

therefore confidence interval =sample mean -/+ t*std error =18.01 ; 29.09

b)

option C is correct

X 2 3 9 6 18 16 23 22 23 27 22 30 22 22 31 25 27 33 45 65 mean(X) 23.550 std deviation(S) 14.318 std error =S/(n)1/2 3.202

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