Question
In: Statistics and Probability
In the spreadsheet "Salary Data" you see sample salaries of employees that were randomly selected from...
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In the spreadsheet "Salary Data" you see sample salaries of employees that were randomly selected from two departments of a company. Assuming that the populations are distributed normally, conduct the appropriate test to determine whether the average salaries are different between these two departments (alpha = .05). Develop the hypotheses and report your conclusion. |
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| Department A | Department B |
| 51000 | 48000 |
| 54000 | 54000 |
| 53000 | 46000 |
| 54000 | 48000 |
| 47000 | 55000 |
| 46000 | 52000 |
| 54000 | 51000 |
| 52000 | 46000 |
| 50000 | 51000 |
| 48000 | 48000 |
| 48000 | 53000 |
| 50000 | 47000 |
| 51000 | 51000 |
| 48000 | 45000 |
| 52000 | 52000 |
| 55000 | 46000 |
| 54000 | 54000 |
| 48000 | 47000 |
| 52000 | 52000 |
| 54000 | 47000 |
| 50000 | 47000 |
| 49000 | 49000 |
| 49000 | 53000 |
| 50000 | 49000 |
| 55000 | 46000 |
| 53000 | 53000 |
| 45000 | 47000 |
| 51000 | 54000 |
| 55000 | 53000 |
| 53000 | 53000 |
| 50000 | |
| 52000 | |
| 54000 |
Solutions
Expert Solution
NULL HYPOTHESIS H0: 
ALTERNATIVE HYPOTHESIS Ha: 
alpha=0.05
By using SPSS we have
From Independent sample test we can see that Equal variances are assumed since p value is greater than 0.05.
t= 1.651
P value = 0.104
Since P value is greater than 0.05 therefore NOT SIGNIFICANT.
DECISION: DO NOT REJECT H0.
Conclusion: WE DON'T HAVE SUFFICIENT EVIDENCE TO SHOW THAT THERE IS DIFFERENCE IN SALARIES.
orchestra answered 2 years agoRelated Solutions
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The Excel file Salary reports the monthly salaries for
93 randomly and independently selected employees of a bank; there
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Let um = the mean monthly salary for all male bank employees,
and uf = the mean monthly salary for all female bank employees.
Your objective is to find some evidence of um > uf, that is, the
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Provide descriptive statistical summaries of the...
The Company collected a sample of the salaries of its employees. There are 70 salary data...
The Company collected a sample of the salaries of its
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Salary
Number of Employees
5,001–10,000
8
10,001–15,000
12
15,001–20,000
20
20,001–25,000
17
25,001–30,000
13
Find the standard deviation.
Find the variance.
The following data set is obtained by a randomly selected sample of 93 employees working at...
The following data set is obtained by a randomly selected sample
of 93 employees working at a bank.
SALARY
EDUC
EXPER
TIME
39000
12
0
1
40200
10
44
7
42900
12
5
30
43800
8
6
7
43800
8
8
6
43800
12
0
7
43800
12
0
10
43800
12
5
6
44400
15
75
2
45000
8
52
3
45000
12
8
19
46200
12
52
3
48000
8
70
20
48000
12
6
23
48000
12...
The following sample observations were randomly selected:
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Round the final answer to 4 decimal places.)
A random sample of 100 employees from 5 different companies was randomly selected, and the number...
A random sample of 100 employees from 5 different companies was
randomly selected, and the number who take public transportation to
work was recorded. The results are listed below. Perform a
homogeneity of proportions test to test the claim that the
proportion who take public transportation to work is the same in
all 5 companies. Use α= 0.01.
1
2
3
4
5
Use Public Trans.
18
25
12
33
22
Don't Use Public Trans.
82
75
88
67
78...
At a local store, 65 female employees were randomly selected and it was found that their...
At a local store, 65 female employees were randomly selected and
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standard deviation of $121.50. Seventy-five male employees were
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be $667 with a standard deviation of $168.70. Test the hypothesis
that male employees have a higher monthly income than female
employees. Use α = 0.01. Use any method, however, follow the
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P - Parameter Statement...
At a local store, 65 female employees were randomly selected and it was found that their...
At a local store, 65 female employees were randomly selected and
it was found that their mean monthly
income was $625 with a standard deviation of $121.50. Seventy-five
male employees were also randomly
selected and their mean monthly income was found to be $667 with a
standard deviation of $168.70. Test the
hypothesis that male employees have a higher monthly income than
female employees. Use α = 0.01.
Use any method, however, follow the PHANTOMS acronym.
P - Parameter Statement...
Suppose the following table was generated from the sample data of 2020 employees relating annual salary...
Suppose the following table was generated from the sample data
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between men and women at the 0.010.01 level of significance? If
yes, write the difference in salary in the space provided, rounded
to two decimal places. Else, select "There is not enough
evidence."
Coefficients
Standard Error
t Stat
P-Value
Intercept
−12231.082830−12231.082830
2488.3280932488.328093
−4.915382−4.915382
0.0001310.000131
Education
3836.8588903836.858890
148.193548148.193548
25.89086325.890863
0.0000000.000000...
Suppose the following table was generated from the sample data of 2020 employees relating annual salary...
Suppose the following table was generated from the sample data
of 2020 employees relating annual salary to years of education and
gender. According to the results, is there a salary difference
between men and women at the 0.010.01 level of significance? If
yes, write the difference in salary in the space provided, rounded
to two decimal places. Else, select "There is not enough
evidence."
Coefficients
Standard Error
t Stat
P-Value
Intercept
−6351.081919
2302.895692
−2.757868
0.013444
Education
3487.0714766
133.810154
26.059842
0.000000...
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28.2.
Calculate the interquartile range. What does this tell you
about the data? Show your work.
Describe the shape of distribution of salaries of employees of
the firm based on the values of the quartiles.
Give a possible reason for the shape of this data set, in terms...
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