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. 1,222 1,180 1,243 1,187 1,268 1,316 1,275 1,317 1,275 A USE SALT (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 four decimal places.) A.D. S = yr (b) When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.) What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number. E = 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. 1,222 1,180 1,243 1,187 1,268 1,316 1,275 1,317 1,275 A USE SALT (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 four decimal places.) A.D. S = yr (b) When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.) What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number. E = 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Tree-Ring Dating and Statistical Analysis**
The method of tree-ring dating provided the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution:
1,222, 1,180, 1,243, 1,187, 1,268, 1,316, 1,275, 1,317, 1,275
---
**(a) Calculation of Sample Mean and Standard Deviation**
- Use a calculator with mean and standard deviation keys to find the sample mean year \(\overline{x}\) and sample standard deviation \(s\).
- Round your answers to four decimal places.
\[
\overline{x} = \_\_\_\_
\]
\[
s = \_\_\_\_
\]
---
**(b) 90% Confidence Interval for the Mean**
1. Determine the critical value for a 90% confidence level. Give your answer to three decimal places.
\[
t_c = \_\_\_\_
\]
2. Calculate the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. Round your answer to the nearest whole number.
\[
E = \_\_\_\_
\]
3. 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.
---
**Assistance and Resources**
- Need Help? [Read It] [Watch It]
**Metadata**
- Problem Reference: 14. [-/4 Points] BBBASICSTAT8 8.2.014.M.I.S.
- Related Concepts: Mean, Standard Deviation, Confidence Interval, Margin of Error.
For further understanding, you can access more detailed instructions and guided solutions through educational tools and resources.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00154cd9-82c7-455b-845c-02cf21fdb65c%2Fc3a7b147-deda-4cca-8bc0-456724c4703e%2Fo4ot7hc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Tree-Ring Dating and Statistical Analysis**
The method of tree-ring dating provided the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution:
1,222, 1,180, 1,243, 1,187, 1,268, 1,316, 1,275, 1,317, 1,275
---
**(a) Calculation of Sample Mean and Standard Deviation**
- Use a calculator with mean and standard deviation keys to find the sample mean year \(\overline{x}\) and sample standard deviation \(s\).
- Round your answers to four decimal places.
\[
\overline{x} = \_\_\_\_
\]
\[
s = \_\_\_\_
\]
---
**(b) 90% Confidence Interval for the Mean**
1. Determine the critical value for a 90% confidence level. Give your answer to three decimal places.
\[
t_c = \_\_\_\_
\]
2. Calculate the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. Round your answer to the nearest whole number.
\[
E = \_\_\_\_
\]
3. 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.
---
**Assistance and Resources**
- Need Help? [Read It] [Watch It]
**Metadata**
- Problem Reference: 14. [-/4 Points] BBBASICSTAT8 8.2.014.M.I.S.
- Related Concepts: Mean, Standard Deviation, Confidence Interval, Margin of Error.
For further understanding, you can access more detailed instructions and guided solutions through educational tools and resources.
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