In the following problems calculating confidence intervals, the lower bound and

Question

In the following problems calculating confidence intervals, the lower bound and upper bound will be separate answers.   For example, the first question will have two answers: (1) Lower bound of the interval and (2) the upper bound.

It has been noted that workers in Italy lead the world in paid vacation days. A sample of 20 Italian workers was taken and the sample mean was calculated to be 40.15 days with a sample standard deviation of 15.89 days. Compute the following:

Find an 80% confidence interval for the population mean?

Lower Bound

Upper Bound

Find a 90% confidence interval for the population mean?

Lower Bound

Upper Bound

Find a 95% confidence interval for the population mean?

Lower Bound

Upper Bound

Find a 99% confidence interval for the population mean?

Lower Bound

Upper Bound

Explanation / Answer

90% confidence interval 80% confidence interval alpha / 2 = 0.05 df = 19 alpha / 2= 0.10 df = 19 t = 1.729 t = 1.328 I: 40.15 +/- 1.729 * 15.89 / srqt 20 I: 40.15 +/- 1.328 * 15.89 / srqt20 40.15 +/- 6.14 40.15 +/- 4.729 34.01

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