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. 1194 1229 1299 1278 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.
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. 1194 1229 1299 1278 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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![### Tree Ring Dating Analysis
The method of tree ring dating yielded the following years A.D. for an archaeological excavation site. Assume that the population of \( x \) values follows an approximately normal distribution.
**Tree Ring Dates (Years A.D.):**
1194, 1229, 1299, 1278, 1268, 1316, 1275, 1317, 1275
#### Part (a): Calculation of Mean and Standard Deviation
Use a calculator to find the sample mean year (\( \overline{x} \)) and the sample standard deviation (\( s \)). Round your answers to the nearest whole number.
\[
\overline{x} = \_\_\_\_\_ \ A.D.
\]
\[
s = \_\_\_\_\_ \ yr
\]
#### Part (b): 90% Confidence Interval
Determine a 90% confidence interval for the mean of all tree ring dates from this archaeological site. Round your answers to the nearest whole number.
**Confidence Interval:**
\[
\text{Lower Limit} \ \_\_\_\_\_ \ A.D.
\]
\[
\text{Upper Limit} \ \_\_\_\_\_ \ A.D.
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80d12b27-2476-49ce-98fb-3e23c71be9c7%2Fa22aaeb1-22de-4334-8667-9b0f11eb1442%2Ftify4ke.png&w=3840&q=75)
Transcribed Image Text:### Tree Ring Dating Analysis
The method of tree ring dating yielded the following years A.D. for an archaeological excavation site. Assume that the population of \( x \) values follows an approximately normal distribution.
**Tree Ring Dates (Years A.D.):**
1194, 1229, 1299, 1278, 1268, 1316, 1275, 1317, 1275
#### Part (a): Calculation of Mean and Standard Deviation
Use a calculator to find the sample mean year (\( \overline{x} \)) and the sample standard deviation (\( s \)). Round your answers to the nearest whole number.
\[
\overline{x} = \_\_\_\_\_ \ A.D.
\]
\[
s = \_\_\_\_\_ \ yr
\]
#### Part (b): 90% Confidence Interval
Determine a 90% confidence interval for the mean of all tree ring dates from this archaeological site. Round your answers to the nearest whole number.
**Confidence Interval:**
\[
\text{Lower Limit} \ \_\_\_\_\_ \ A.D.
\]
\[
\text{Upper Limit} \ \_\_\_\_\_ \ A.D.
\]
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