Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant Financial Planner 51.2 59.8 56.3 58.2 55.2 56.0 51.9 60.5 57.0 50.9 50.0 49.2 54.1 56.9 50.9 Find the value of the test statistic. W = 53.6 49.7 53.9 51.8 48.9 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. O Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. O Ho: Median salary for public accountants - Median salary for financial planners 20 H₂: Median salary for public accountants - Median salary for financial planners < 0 O Ho: Median salary for public accountants - Median salary for financial planners ≤ 0 H: Median salary for public accountants - Median salary for financial planners > 0 O Ho: Median salary for public accountants - Median salary for financial planners > 0 H₂: Median salary for public accountants - Median salary for financial planners = 0 ⒸH: The two populations of salaries are identical. H₂: The two populations of salaries are not identical. Find the p-value. (Round your answer to four decimal places.) p-value=

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(b) What are the sample median annual salaries (in $) for the two professions?
Public Accountants
Financial Planners
sample median = $
sample median = $
Transcribed Image Text:(b) What are the sample median annual salaries (in $) for the two professions? Public Accountants Financial Planners sample median = $ sample median = $
Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars.
Public Accountant
51.2
59.8
56.3
58.2
55.2
56.0
51.9
60.5
57.0
50.9
Financial Planner
50.0
49.2
54.1
56.9
50.9
53.6
Find the value of the test statistic.
W =
49.7
53.9
51.8
48.9
(a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners.
State the null and alternative hypotheses.
O Ho: The two populations of salaries are not identical.
H₂: The two populations of salaries are identical.
O Ho: Median salary for public accountants - Median salary for financial planners 20
H₂: Median salary for public accountants - Median salary for financial planners < 0
O Ho: Median salary for public accountants - Median salary for financial planners ≤ 0
H₂: Median salary for public accountants - Median salary for financial planners > 0
O Ho: Median salary for public accountants - Median salary for financial planners > 0
H₂: Median salary for public accountants - Median salary for financial planners = 0
Ho: The two populations of salaries are identical.
H₂: The two populations of salaries are not identical.
Find the p-value. (Round your answer to four decimal places.)
p-value=
Transcribed Image Text:Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant 51.2 59.8 56.3 58.2 55.2 56.0 51.9 60.5 57.0 50.9 Financial Planner 50.0 49.2 54.1 56.9 50.9 53.6 Find the value of the test statistic. W = 49.7 53.9 51.8 48.9 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. O Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. O Ho: Median salary for public accountants - Median salary for financial planners 20 H₂: Median salary for public accountants - Median salary for financial planners < 0 O Ho: Median salary for public accountants - Median salary for financial planners ≤ 0 H₂: Median salary for public accountants - Median salary for financial planners > 0 O Ho: Median salary for public accountants - Median salary for financial planners > 0 H₂: Median salary for public accountants - Median salary for financial planners = 0 Ho: The two populations of salaries are identical. H₂: The two populations of salaries are not identical. Find the p-value. (Round your answer to four decimal places.) p-value=
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Follow-up Question
Find the value of the test statistic.
W = 75.50
X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0587
X
What is your conclusion?
O Do not reject Ho. There sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners.
O Do not reject Ho. There s not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial
planners.
O Reject H. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners.
Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners.
What are the sample median annual salaries (in $) for the two professions?
sample median = $ 56
X
Public Accountants
Financial Planners
sample median = $ 52.85
X
Transcribed Image Text:Find the value of the test statistic. W = 75.50 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0587 X What is your conclusion? O Do not reject Ho. There sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Do not reject Ho. There s not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Reject H. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. What are the sample median annual salaries (in $) for the two professions? sample median = $ 56 X Public Accountants Financial Planners sample median = $ 52.85 X
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