The method of tree ring dating gave the following years A.D. for an archaeologic
ID: 3133325 • Letter: T
Question
The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1215 1187 1313 1271 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.) x = A.D. s = yr (b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.) lower limit A.D. upper limit A.D.
Explanation / Answer
The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1215 1187 1313 1271 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.) x = A.D. s = yr (b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.) lower limit A.D. upper limit A.D.
a) The mean and standard deviation for the given sample is given as below:
Descriptive Summary
X
Mean
1271
Median
1275
Mode
1275
Minimum
1187
Maximum
1317
Range
130
Variance
2017
Standard Deviation
45
Coeff. of Variation
3.53%
Skewness
-0.8779
Kurtosis
0.0936
Count
9
Standard Error
14.9711
b) Here, we have to find the 90% confidence interval for the mean of all tree ring dates from this archaeological site. The confidence interval is given as below:
Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation
44.91318787
Sample Mean
1270.777778
Sample Size
9
Confidence Level
90%
Intermediate Calculations
Standard Error of the Mean
14.97106262
Degrees of Freedom
8
t Value
1.8595
Interval Half Width
27.8394
Confidence Interval
Interval Lower Limit
1243
Interval Upper Limit
1299
Descriptive Summary
X
Mean
1271
Median
1275
Mode
1275
Minimum
1187
Maximum
1317
Range
130
Variance
2017
Standard Deviation
45
Coeff. of Variation
3.53%
Skewness
-0.8779
Kurtosis
0.0936
Count
9
Standard Error
14.9711
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