Chapter 8, Problem 11CR

For Problems 8-12, categorize each problem according to the parameter being estimated: proportion p or mean µ. Then solve the problem.

Archaeology: Excavations The Wind Mountain archaeological site is located in southwestern New Mexico. Wind Mountain was home to an ancient culture of prehistoric Native Americans called Anasa/i. A random sample of excavations at Wind Mountain gave the following depths (in centimeters) from present-day surface grade to the location of significant archaeological artifacts (Source: Mimbres Mogollon Archaeology, by A. Woosley and A. McIntyre, University of New Mexico Press).

85	45	120	80	75	55	65	60
65	95	90	70	75	65	68

Use a calculator with mean and sample standard deviation keys to verify that $\bar{x}\approx 74.2\text{ cm and }s\approx 18.3\text{ cm}$.

Compute a 95% confidence interval for the mean depth µ at which archaeological artifacts from the Wind Mountain excavation site can be found.