According to USA Today, workers in Germany lead the world in vacation days, aver

Question

According to USA Today, workers in Germany lead the world in vacation days, averaging 23.98 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. 25 p 21 29 25 29 28 27 25 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? O A. Since the population mean, 23.98, is contained within the 90% confidence interval, it can be said with 90% confidence that the sample does not validate the website's findings. O B. Since the population mean, 23.98, is contained within the 90% confidence interval, it can be said with 90% confidence that the sample validates the website's findings. O C. Since the population mean, 23.98, is not contained within the 90% confidence interval, it can be said with 90% confidence that the sample validates the website's findings. O D. Since the population mean, 2398, is not contained within the 90% confidence in 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? O A. The only assumption needed is that the population standard deviation is known.

Explanation / Answer

The statistical software output for this problem is:

One sample T confidence interval:
: Mean of variable

90% confidence interval results:

Hence,

a) 90% confidence interval:

17.41 days to 27.19 days

b) Option B is correct.

c) Option C is correct.

Variable Sample Mean Std. Err. DF L. Limit U. Limit var11 22.3 2.8303803 19 17.405897 27.194103

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