Second part to this question is also what is test statistic t= ### Correlation Analysis between Court Income and Justice Salaries**Context:**This exercise aims to analyze the relationship between court income and the salaries paid to town justices. The data is provided in thousands of dollars. A scatterplot is constructed to visualize the data distribution, and the linear correlation coefficient \( r \) is calculated to assess the strength and direction of the relationship. The hypothesis testing at a significance level \( \alpha = 0.05 \) is conducted to evaluate if there is sufficient evidence of a linear correlation between court income and justice salaries.**Data Provided:**| Court Income (in thousands) | 64.0 | 406.0 | 1567.0 | 1132.0 | 274.0 | 251.0 | 110.0 | 153.0 | 33.0 ||-----------------------------|------|-------|--------|--------|-------|-------|-------|-------|------|| Justice Salary (in thousands) | 31 | 46 | 92 | 58 | 45 | 61 | 25 | 26 | 19 |**Hypotheses:**D. \( H_0: \rho = 0 \) (Null Hypothesis: No linear correlation)\( H_1: \rho \neq 0 \) (Alternative Hypothesis: Linear correlation exists)**Scatterplot Options:** From the provided options, select the correct scatter plot representing the given data.**Scatterplot Selection:**- **Option A:** Does not represent the correct data distribution.- **Option B:** Correct scatter plot selection based on visual analysis.- **Option C:** Does not represent the correct data distribution.- **Option D:** Does not represent the correct data distribution.**Correlation Coefficient Calculation:**The linear correlation coefficient \( r \) needs to be calculated and the value should be rounded to three decimal places.- **Formula:** \( r = \frac{\text{Cov}(X, Y)}{\sigma_X \sigma_Y} \) - Where \( \text{Cov}(X, Y) \) is the covariance between the variables X (Court Income) and Y (Justice Salary). - \( \sigma_X \) and \( \sigma_Y \) are the standard deviations of X and Y, respectively.**Note:** After calculation, the value of \( r \) should be filled in the blank.### Conclusion:

Given: The data set: Court Income Justice Salary 64.0 31 406.0 46 1567.0 92 1132.0 58…

Answered: nts SS rary ons Listed below are…

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

Similar questions

HELP ME WITH THIS ONE PLEASE! NEED IT SO MUCH You are a teacher whose goal is to determine how well your class consisting of twenty-nine students performed in asummative examination. You are supposed to present the results of your study to the students in order to convince them that you have to conduct a remedial class on top of their regular class hours. You have to present your data in proper form and analyze and interpret the results using the most appropriate measures.
What is a confidence interval in statistics?
IQ tests are approximately normally distributed with a mean of 100 for adults. A tech company CEO wants to conduct a hypothesis test to see if the average IQ of employees at high-tech firms in California is higher than average. What is Type I error in the context of this problem?
One advantage of transforming x-values (raw scores) to a-score is
Explain the Difference between Hypothesized and True Mean?
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145, but you have good reason to believe that μ is less than 145. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 139 and that the standard deviation of their scores is 28. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1that should be used for the test? H0: H1: (b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 136. Fill in the blanks to describe a Type II error. A Type II error…
How will you assess the validity of the questionnaire?
claim that the mean IQ score of people With low blood lead levels is higher than the mean IQ score of people with high blood lead levels.
Which type of validity can be affected by missing values problems?
What are the four of the most important qualitative methods?
Hi there, I hope you’re well. We have a research report/proposal due for Statistics next month. We were told to gather data on anything related to schools, learners or teachers. I have chosen to gather data on academic achievement and sports participation. I am interested in the difference between a learners academic achievement and whether he/she takes part in sports or not. I received data from the school which I put into a table. It is the academic term average for those who do sports and those who do not. We are now required to carry out two tests along with graphs etc. I have done the t-test and am happy with the results. I would like to do a chi-square test as my second test, but I am completely lost. I have my raw data (please see attached) but I am struggling to move forward. I need to find out what the observed and expected data is (from my raw data) and carry out the test. Please could you assist me. I would really love to do well in this course, but it is not my strongest…
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145 , but you have good reason to believe that μ is less than 145 . You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 140 and that the standard deviation of their scores is 22 . Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: (b) Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 137 . Fill in the blanks to describe…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS