Question
According to a travel website, workers in a certain country lead the world in vacation days, averaging 22.24 days per year. The following data show
According to a travel website, workers in a certain country lead the world in vacation days, averaging 22.24 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.
2 9 2 8 19 25 21 24 24 34
15 25 20 19 27 32 28 34 45 57
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.
B. Do the results from this sample validate the website's findings?
a .Since the population mean, 22.24, 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, 22.24, is contained within the 90% confidence interval, it can be said with 90% confidence that the sample validates the website's findings.
c. Since the population mean, 22.24, is contained within the 90% confidence interval, it can be said with 90% confidence that the sample does not validate the website's findings.
d. Since the population mean, 22.24, 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. What assumptions need to be made about this population?
a. The only assumption needed is that the population distribution is approximately uniform.
b. The only assumption needed is that the population distribution is approximately normal.
c. The only assumption needed is that the population standard deviation is known.
d. No assumptions are required.
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