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 57.3 59.2 54.2 56.0 51.9 58.5 58.0 50.9 Financial Planner 50.0 48.2 54.1 54.9 50.9 52.6 49.7 52.9 50.8 Find the value of the test statistic. W = 13.5 x 49.9 (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. Ho: The two populations of salaries are not identical. H: The two populations of salaries are identical. Ho: Median salary for public accountants - Median salary for financial planners > H₂: Median salary for public accountants - Median salary for financial planners = 0 Ho: Median salary for public accountants - Median salary for financial planners ≤ 0 H: Median salary for public accountants - Median salary for financial planners > 0 Ho: Median salary for public accountants - Median salary for financial planners 20 H.: Median salary for public accountants - Median salary for financial planners < 0 ⒸH: The two populations of salaries are identical. H: The two populations of salaries are not identical. Find the p-value. (Round your answer to four decimal places.) p-value=0.0058 x

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ISBN:9781119256830
Author:Amos Gilat
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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
57.3
59.2
54.2
56.0
51.9
58.5
58.0
50.9
50.0
48.2
54.1
54.9
50.9
Find the value of the test statistic.
W = 13.5
X
52.6
49.7
52.9
50.8
49.9
(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.
Ho: The two populations of salaries are not identical.
H₂: The two populations of salaries are identical.
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: Median salary for public accountants - Median salary for financial planners ≤ 0
H₂: Median salary for public accountants - Median salary for financial planners > 0
Ho: Median salary for public accountants - Median salary for financial planners 20
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 = 0.0058
X
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 Financial Planner 51.2 59.8 57.3 59.2 54.2 56.0 51.9 58.5 58.0 50.9 50.0 48.2 54.1 54.9 50.9 Find the value of the test statistic. W = 13.5 X 52.6 49.7 52.9 50.8 49.9 (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. Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. 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: Median salary for public accountants - Median salary for financial planners ≤ 0 H₂: Median salary for public accountants - Median salary for financial planners > 0 Ho: Median salary for public accountants - Median salary for financial planners 20 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 = 0.0058 X
A large corporation sends many of its first-level managers to an off-site supervisory skills training course. Four different management development centers offer this course. The director of human resources would like to know whether there is a difference among the quality of training provided at the
four centers. An independent random sample of five employees was chosen from each training center. The employees were then ranked 1 to 20 in terms of supervisory skills. A rank of 1 was assigned to the employee with the best supervisory skills. Suppose the ranks are as shown.
Course
ABCD
5
14 10 16 4
7
2 18 17
13
3 9 15
1
11 12
20 6
12 19 8
Use a = 0.05 and test whether there is a significant difference among the quality of training provided by the four programs.
State the null and alternative hypotheses.
Ho: Median
Median Median Median
A
H₂: Median = Median Median Median
А
Ho: Median = Median = Median
Median Median Median
=
=
Median
Median
ⒸH: Median = Median
Median
Median
A
H₂: Median > Median < Median > Median
H: There is a difference in the quality of the training for the programs.
H₂: There is no difference in the quality of the training for the programs.
a
ⒸH₁: There is no difference in the quality of the training for the programs.
H₂: There is a difference in the quality of the training for the programs.
✓
Find the value of the test statistic. (Round your answer to two decimal places.)
4.29
x
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.021
X
State your conclusion
Transcribed Image Text:A large corporation sends many of its first-level managers to an off-site supervisory skills training course. Four different management development centers offer this course. The director of human resources would like to know whether there is a difference among the quality of training provided at the four centers. An independent random sample of five employees was chosen from each training center. The employees were then ranked 1 to 20 in terms of supervisory skills. A rank of 1 was assigned to the employee with the best supervisory skills. Suppose the ranks are as shown. Course ABCD 5 14 10 16 4 7 2 18 17 13 3 9 15 1 11 12 20 6 12 19 8 Use a = 0.05 and test whether there is a significant difference among the quality of training provided by the four programs. State the null and alternative hypotheses. Ho: Median Median Median Median A H₂: Median = Median Median Median А Ho: Median = Median = Median Median Median Median = = Median Median ⒸH: Median = Median Median Median A H₂: Median > Median < Median > Median H: There is a difference in the quality of the training for the programs. H₂: There is no difference in the quality of the training for the programs. a ⒸH₁: There is no difference in the quality of the training for the programs. H₂: There is a difference in the quality of the training for the programs. ✓ Find the value of the test statistic. (Round your answer to two decimal places.) 4.29 x Find the p-value. (Round your answer to three decimal places.) p-value = 0.021 X State your conclusion
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