The Wind Mountain archaeological site is located in southwestern New Mexico. Win

Question

The Wind Mountain archaeological site is located in southwestern New Mexico. Wind Mountain was home to an ancient culture of prehistoric Native Americans called Anasazi. 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†.

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.)

(b) Compute a 99% confidence interval for the mean depth ? at which archaeological artifacts from the Wind Mountain excavation site can be found. (Round your answers to one decimal place.)

Explanation / Answer

solution:-
given values 85,45,120,80,75,55,65,60,65,95,90,70,75,65,68
(a)mean x = 74.2
standard deviation s = 18.3

(b) given n = 15

99% confidence with df 14 is t = 2.977
confidence interval formula = x +/- t * s / sqrt(n)
=> 74.2 +/- 2.977 * 18.3/sqrt(15)
=> 74.2 +/- 14.0664
=> (60.1 , 88.3)

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