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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
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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.
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