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3. Repeated measurements are made of the age (based on Carbon 14 content) of a fossil. The average of 9 measurements is 2,050 years, with an SD of 90 years. (a) Is there substantial evidence that the fossil is more than 2000 years old? Formulate the null hypothesis and answer the question at significant level 5%? (b) What is the 95% confidence lower bound? What can you conclude for the question in (a) based on the result here?

3. Repeated measurements are made of the age (based on Carbon 14 content) of a fossil. The average of 9 measurements is 2,050 years, with an SD of 90 years. (a) Is there substantial evidence that the fossil is more than 2000 years old? Formulate the null hypothesis and answer the question at significant level 5%? (b) What is the 95% confidence lower bound? What can you conclude for the question in (a) based on the result here?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. Repeated measurements are made of the age (based on Carbon 14 content) of a fossil. The average of 9 measurements is 2,050 years, with an SD of 90 years. (a) Is there substantial evidence that the fossil is more than 2000 years old? Formulate the null hypothesis and answer the question at significant level 5%? (b) What is the 95% confidence lower bound? What can you conclude for the question in (a) based on the result here? (c) What assumptions do you make in making the above calculations? (d) What is the sample size needed in order to have 95% confidence that your estimate of the fossil age has error at most 30 years? Use the formula for z-test, as the required sample will be large!
Transcribed Image Text:3. Repeated measurements are made of the age (based on Carbon 14 content) of a fossil. The average of 9 measurements is 2,050 years, with an SD of 90 years. (a) Is there substantial evidence that the fossil is more than 2000 years old? Formulate the null hypothesis and answer the question at significant level 5%? (b) What is the 95% confidence lower bound? What can you conclude for the question in (a) based on the result here? (c) What assumptions do you make in making the above calculations? (d) What is the sample size needed in order to have 95% confidence that your estimate of the fossil age has error at most 30 years? Use the formula for z-test, as the required sample will be large!
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