Homework Help is Here – Start Your Trial Now!
Math
Statistics
A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that has a population variance 242.3. In a different section of Chao Canyon, a random sample of 25 transects gave a sample variance s2 49.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. (a) What is the level of significance? - State the null and alternate hypotheses. o Hội gần 12 Đi Học 42 OH: 0²42.31 H₂:0² 42.3 Omoi gần 420i Hội gì,423 OHội gần đội Hội gần 42 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a uniform population distribution. We assume a binomial population distribution. O We assume a normal population distribution. O We assume a exponential population distribution. (e) Find or estimate the P-value of the sample test statistic. OP-value> 0.100 O 0.050 < P-value < 0.100 O 0.025 P-value < 0.050 O 0.010 P-value < 0.025 O 0.005 P-value < 0.010 OP-value < 0.005

A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that has a population variance 242.3. In a different section of Chao Canyon, a random sample of 25 transects gave a sample variance s2 49.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. (a) What is the level of significance? - State the null and alternate hypotheses. o Hội gần 12 Đi Học 42 OH: 0²42.31 H₂:0² 42.3 Omoi gần 420i Hội gì,423 OHội gần đội Hội gần 42 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a uniform population distribution. We assume a binomial population distribution. O We assume a normal population distribution. O We assume a exponential population distribution. (e) Find or estimate the P-value of the sample test statistic. OP-value> 0.100 O 0.050 < P-value < 0.100 O 0.025 P-value < 0.050 O 0.010 P-value < 0.025 O 0.005 P-value < 0.010 OP-value < 0.005

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ² = 42.3. In a different section of Chaco Canyon, a random sample of 25 transects gave a sample variance s² = 49.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: 0² = 42.3; H₁:0² < 42.3 O Ho: 0² > 42.3; H₁: 0² = 42.3 O Ho: 0² = 42.3; H₁: 0² > 42.3 O Ho: 0² = 42.3; H₁: 0² #42.3 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a uniform population distribution. O We assume a binomial population distribution. O We assume a normal population distribution. O We assume a exponential population distribution. (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 OP-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value ≤ a, we reject the null hypothesis. O Since the P-value ≤ a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, there is insufficient evidence to conclude that the variance is greater in the new section. O At the 5% level of significance, there is sufficient evidence to conclude that the variance is greater in the new section.
Transcribed Image Text:A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ² = 42.3. In a different section of Chaco Canyon, a random sample of 25 transects gave a sample variance s² = 49.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: 0² = 42.3; H₁:0² < 42.3 O Ho: 0² > 42.3; H₁: 0² = 42.3 O Ho: 0² = 42.3; H₁: 0² > 42.3 O Ho: 0² = 42.3; H₁: 0² #42.3 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a uniform population distribution. O We assume a binomial population distribution. O We assume a normal population distribution. O We assume a exponential population distribution. (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 OP-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value ≤ a, we reject the null hypothesis. O Since the P-value ≤ a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, there is insufficient evidence to conclude that the variance is greater in the new section. O At the 5% level of significance, there is sufficient evidence to conclude that the variance is greater in the new section.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS