Question 2. Lawyer Salaries [10 marks] Suppose the column Lawyer Salary in Assignment-1_S24.xlsx data file contains the salaries of articling lawyers in Ottawa firms. (a) Test at the 0.05 level of significance whether there is sufficient evidence to conclude that the average salary of articling lawyers in Ottawa exceeds $75,000. Use the critical value approach. (b) Now calculate the p-value for the result in part (a). (c) Finally calculate a 95% 1-sided confidence interval for the average salary of an articling lawyer in Ottawa. (d) Explain why the p-value and confidence interval do or do not support your conclusion in part (a). (e) Show a boxplot of the data and explain whether the assumptions of the test and confidence interval are reasonable.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Question 2. Lawyer Salaries [10 marks] Suppose the column Lawyer Salary in Assignment-1_S24.xlsx data file
contains the salaries of articling lawyers in Ottawa firms. (a) Test at the 0.05 level of significance whether there is
sufficient evidence to conclude that the average salary of articling lawyers in Ottawa exceeds $75,000. Use the
critical value approach. (b) Now calculate the p-value for the result in part (a). (c) Finally calculate a 95% 1-sided
confidence interval for the average salary of an articling lawyer in Ottawa. (d) Explain why the p-value and
confidence interval do or do not support your conclusion in part (a). (e) Show a boxplot of the data and explain
whether the assumptions of the test and confidence interval are reasonable.
Transcribed Image Text:Question 2. Lawyer Salaries [10 marks] Suppose the column Lawyer Salary in Assignment-1_S24.xlsx data file contains the salaries of articling lawyers in Ottawa firms. (a) Test at the 0.05 level of significance whether there is sufficient evidence to conclude that the average salary of articling lawyers in Ottawa exceeds $75,000. Use the critical value approach. (b) Now calculate the p-value for the result in part (a). (c) Finally calculate a 95% 1-sided confidence interval for the average salary of an articling lawyer in Ottawa. (d) Explain why the p-value and confidence interval do or do not support your conclusion in part (a). (e) Show a boxplot of the data and explain whether the assumptions of the test and confidence interval are reasonable.
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