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Homework answers / question archive / Texas Tech UniversityMATH 3371 The Wind Mountain archaeological site is located in southwestern New Mexico
Texas Tech UniversityMATH 3371
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†.
| 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 find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.)
mean : cm
s = cm
Compute a 98% confidence interval for the mean depth μ at which archaeological artifacts from the Wind Mountain excavation site can be found. (Round your answers to one decimal place.)
lower limit:
Upper limit:
Answer:
Mean = 74.2 cm
s = 18.3 cm
98% confidence interval for population mean is x? ± t(s/√n) = (61.8, 86.6)
lower limit: 61.8
Upper limit: 86.6
Step-by-step explanation
| Confidence Interval Estimate for the Mean | |
| Data | |
| Sample Standard Deviation | 18.3 |
| Sample Mean | 74.2 |
| Sample Size | 15 |
| Confidence Level | 98% |
| Intermediate Calculations | |
| Standard Error of the Mean | 4.71 |
| Degrees of Freedom | 14 |
| t Value | 2.6240 |
| Interval Half Width | 12.3667 |
| Confidence Interval | |
| Interval Lower Limit | 61.8 |
| Interval Upper Limit |
86.6 |
