with a standard deviation of .7 billion years. (Their ages are approximately normally distributed.) You use a computer to randomly select the coordinates of 40 stars from the catalog of known stars of the type you're studying and you estimate their ages. You find that the mean age of stars in your sample is 3.7 billion years. Suppose (before collecting your sample) that you think the mean age of stars is actually greater than the 3.5 billion year-old claim, and that this would lend support to an alternative theory about how the clusters were formed. A. To test whether the population mean is greater than 3.5 billion years, what would your null and alternative hypotheses be? B. Explain why you can't use the p-value from question 2c to reach a conclusion on this significance test: (question from 2c that I posted on another chegg question is: C. Calculate your test statistic (z- score) and P-value. Show your work, including the formulas you use to calculate the statistic.) c. Using the population and sample from question 2, calculate your test statistic and P-value. Show your work, including the formulas you used to calculate the statistic. [The conditions of the z-test were already checked in question 2b] (question from 2b I posted on another chegg question is: B. What test would you plan to use, how will the test work, and what are the conditions necessary to use the test? Does your situation meet those conditions?) D. What's your conclusion, using a = .05? Compare your results to the previous conclusion in 2D, and explain the difference. E. Extention: Suppose (before collecting your sample) that you think the mean age of stars is actually LESS THAN the 3.5 billion year-old claim. Briefly explain why you would not need to conduct a significance test if your sample mean was 3.53 billion years for a random sample of 40 stars:
with a standard deviation of .7 billion years. (Their ages are approximately normally distributed.) You use a computer to randomly select the coordinates of 40 stars from the catalog of known stars of the type you're studying and you estimate their ages. You find that the mean age of stars in your sample is 3.7 billion years. Suppose (before collecting your sample) that you think the mean age of stars is actually greater than the 3.5 billion year-old claim, and that this would lend support to an alternative theory about how the clusters were formed. A. To test whether the population mean is greater than 3.5 billion years, what would your null and alternative hypotheses be? B. Explain why you can't use the p-value from question 2c to reach a conclusion on this significance test: (question from 2c that I posted on another chegg question is: C. Calculate your test statistic (z- score) and P-value. Show your work, including the formulas you use to calculate the statistic.) c. Using the population and sample from question 2, calculate your test statistic and P-value. Show your work, including the formulas you used to calculate the statistic. [The conditions of the z-test were already checked in question 2b] (question from 2b I posted on another chegg question is: B. What test would you plan to use, how will the test work, and what are the conditions necessary to use the test? Does your situation meet those conditions?) D. What's your conclusion, using a = .05? Compare your results to the previous conclusion in 2D, and explain the difference. E. Extention: Suppose (before collecting your sample) that you think the mean age of stars is actually LESS THAN the 3.5 billion year-old claim. Briefly explain why you would not need to conduct a significance test if your sample mean was 3.53 billion years for a random sample of 40 stars:
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
![A theory predicts that the mean age of stars within a particular type of star cluster is 3.5 billion years,
with a standard deviation of .7 billion years. (Their ages are approximately normally distributed.) You
use a computer to randomly select the coordinates of 40 stars from the catalog of known stars of
the type you're studying and you estimate their ages. You find that the mean age of stars in your
sample is 3.7 billion years.
Suppose (before collecting your sample) that you think the mean age of stars is actually greater than
the 3.5 billion year-old claim, and that this would lend support to an alternative theory about how
the clusters were formed.
A. To test whether the population mean is greater than 3.5 billion years, what would your null and
alternative hypotheses be?
B. Explain why you can't use the p-value from question 2c to reach a conclusion on this significance
test: (question from 2c that I posted on another chegg question is: C. Calculate your test statistic (z-
score) and P-value. Show your work, including the formulas you use to calculate the statistic.)
C. Using the population and sample from question 2, calculate your test statistic and P-value. Show
your work, including the formulas you used to calculate the statistic. [The conditions of the z-test
were already checked in question 2b] (question from 2b I posted on another chegg question is: B.
What test would you plan to use, how will the test work, and what are the conditions necessary to
use the test? Does your situation meet those conditions?)
D. What's your conclusion, using a = .05? Compare your results to the previous conclusion in 2D, and
explain the difference.
E. Extention: Suppose (before collecting your sample) that you think the mean age of stars is actually
LESS THAN the 3.5 billion year-old claim. Briefly explain why you would not need to conduct a
significance test if your sample mean was 3.53 billion years for a random sample of 40 stars:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F244ebe92-30ac-465f-bdd0-106e4aff248d%2Fb0bfb7e9-69df-4b02-8f05-3a5183bc8cad%2Fftdynam_processed.png&w=3840&q=75)
Transcribed Image Text:A theory predicts that the mean age of stars within a particular type of star cluster is 3.5 billion years,
with a standard deviation of .7 billion years. (Their ages are approximately normally distributed.) You
use a computer to randomly select the coordinates of 40 stars from the catalog of known stars of
the type you're studying and you estimate their ages. You find that the mean age of stars in your
sample is 3.7 billion years.
Suppose (before collecting your sample) that you think the mean age of stars is actually greater than
the 3.5 billion year-old claim, and that this would lend support to an alternative theory about how
the clusters were formed.
A. To test whether the population mean is greater than 3.5 billion years, what would your null and
alternative hypotheses be?
B. Explain why you can't use the p-value from question 2c to reach a conclusion on this significance
test: (question from 2c that I posted on another chegg question is: C. Calculate your test statistic (z-
score) and P-value. Show your work, including the formulas you use to calculate the statistic.)
C. Using the population and sample from question 2, calculate your test statistic and P-value. Show
your work, including the formulas you used to calculate the statistic. [The conditions of the z-test
were already checked in question 2b] (question from 2b I posted on another chegg question is: B.
What test would you plan to use, how will the test work, and what are the conditions necessary to
use the test? Does your situation meet those conditions?)
D. What's your conclusion, using a = .05? Compare your results to the previous conclusion in 2D, and
explain the difference.
E. Extention: Suppose (before collecting your sample) that you think the mean age of stars is actually
LESS THAN the 3.5 billion year-old claim. Briefly explain why you would not need to conduct a
significance test if your sample mean was 3.53 billion years for a random sample of 40 stars:
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