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.

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Chapter10: Statistics
Section10.3: Measures Of Spread
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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:**

\[
\text{Lower Limit} \ \_\_\_\_\_ \ A.D.
\]

\[
\text{Upper Limit} \ \_\_\_\_\_ \ A.D.
\]
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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