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B. What is the margin of error for this interval? QMB 3200 Spring 2018 Sydney Gi

ID: 3062575 • Letter: B

Question

B. What is the margin of error for this interval? QMB 3200 Spring 2018 Sydney Gill | 3/15/18 1 1:24 PM Homework: Chapter 8 Homework Save Score: 0 of 1 pt 70f 15 (4 complete) Hw Score: 26.67%, 4 of 15 pts 8.3.27-T According to a travel website, workers in a certain country lead the world in vacation days, averaging 29.02 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 17 15 27 21 27 25 18 41 a. Construct a 99% confidence interval to estimate the average number of paid vacation days for workers from this country. The 99% 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.)

Explanation / Answer

The statistical software output for this problem is:

One sample T confidence interval:
: Mean of variable

99% confidence interval results:

Hence,

99% confidence interval: 13.72 days to 31.32 days

Margin of error = (31.32 - 13.72)/2 = 17.6/2 = 8.80

Variable Sample Mean Std. Err. DF L. Limit U. Limit Data 22.52381 3.0927096 20 13.724 31.323619