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 σ2 = 42.3. In a different section of Chaco Canyon, a random sample of 26 transects gave a sample variance s2 = 46.7 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. Find a 95% confidence interval for the population variance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: σ2 = 42.3; H1: σ2 < 42.3
Ho: σ2 = 42.3; H1: σ2 > 42.3
Ho: σ2 > 42.3; H1: σ2 = 42.3
Ho: σ2 = 42.3; H1: σ2 ≠ 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?
We assume a uniform population distribution.
We assume a binomial population distribution.
We assume a normal population distribution.
We assume a exponential population distribution.
(c) Find or estimate the P-value of the sample test
statistic.
P-value > 0.1000
.050 < P-value < 0.100
0.025 < P-value < 0.0500
.010 < P-value < 0.0250
.005 < P-value < 0.010
P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis?
Since the P-value > α, we fail to reject the null hypothesis.
Since the P-value > α, we reject the null hypothesis.
Since the P-value ≤ α, we reject the null hypothesis.
Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, there is insufficient evidence to conclude conclude that the variance is greater in the new section.At the 5% level of significance, there is sufficient evidence to conclude conclude that the variance is greater in the new section.
(f) Find the requested confidence interval for the population
variance. (Round your answers to two decimal places.)
| lower limit | |
| upper limit |
Interpret the results in the context of the application.
We are 95% confident that σ2 lies below this interval.
We are 95% confident that σ2 lies outside this interval.
We are 95% confident that σ2 lies within this interval.
We are 95% confident that σ2 lies above this interval.
In: Statistics and Probability
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 σ2 = 42.3. In a different section of Chaco Canyon, a random sample of 26 transects gave a sample variance s2 = 50.5 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. Find a 95% confidence interval for the population variance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: σ2 = 42.3; H1: σ2 < 42.3Ho: σ2 = 42.3; H1: σ2 > 42.3 Ho: σ2 > 42.3; H1: σ2 = 42.3Ho: σ2 = 42.3; H1: σ2 ≠ 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?
We assume a normal population distribution.We assume a exponential population distribution. We assume a uniform population distribution.We assume a binomial population distribution.
(c) Find or estimate the P-value of the sample test
statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, there is insufficient evidence to conclude conclude that the variance is greater in the new section.At the 5% level of significance, there is sufficient evidence to conclude conclude that the variance is greater in the new section.
(f) Find the requested confidence interval for the population
variance. (Round your answers to two decimal places.)
| lower limit | |
| upper limit |
Interpret the results in the context of the application.
We are 95% confident that σ2 lies outside this interval.We are 95% confident that σ2 lies above this interval. We are 95% confident that σ2 lies below this interval.We are 95% confident that σ2 lies within this interval.
In: Math
When posting about your CAFR or NFP entity, include the entity name in the Subject line and the web link to the document in your posting.
1. What is the name and city of the auditors for the CAFR?
2. Does the auditors' opinion reveal any unfavorable issues?
3. MD&A section: discuss any highlights or issues of concern
In: Accounting
In: Nursing
Use an energy-state diagram to explain the difference between
fluorescence and phosphorescence
In: Chemistry
Please understand that a wrong answer from you will
result in a down vote, negative feedback, and a tweet to chegg
support. I have less tolerance towards incompetency when my money
is spent on your talent. Provide detail explanation and type your
answer.
11) What are Bench Marking Recommendations are all about ?
it is relating to bench marking concept
In: Accounting
The main purpose of this individual assignment is to learn about Cultural Competence to increase professionalism and become more job ready in the multicultural workforce.
For this individual assignment, please do the following:
In: Operations Management
In: Accounting
If you were to start your own business (please state what business), how might you use Net Present Value to help you make a decision if this project is worthwhile. What numbers/inputs would you require to determine the NPV? TO RESPOND TO THIS QUESTION IF MY CHOICE OF THE BUSINESS IS REAL ESTATE. HOW CAN I RESPOND TO THESE QUESTION?
In: Finance
In: Biology