Expert answer:Week 3 assignment in Statistics

Answer & Explanation:Please see attached assignment and respond in Microsoft Excel format.week_3_hw_a.xlsx
week_3_hw_a.xlsx

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Week 3
ANOVA and Paired T-test
At this point we know the following about male and female salaries.
a.
Male and female overall average salaries are not equal in the population.
b.
Male and female overall average compas are equal in the population, but males are a bi
c.
The male and female salary range are almost the same, as is their age and service.
d.
Average performance ratings per gender are equal.
Let’s look at some other factors that might influence pay – education(degree) and performance ratings.
<1 point>
1
Last week, we found that average performance ratings do not differ between males and
Now we need to see if they differ among the grades. Is the average performace rating th
(Assume variances are equal across the grades for this ANOVA.)
Null Hypothesis:
Alt. Hypothesis:
Place B17 in Outcome range box.
Interpretation:
What is the p-value:
Is P-value < 0.05? Do we REJ or Not reject the null? If the null hypothesis was rejected, what is the effect size Meaning of effect size measure: What does that decision mean in terms of our equal pay question: 2 <1 point>
While it appears that average salaries per each grade differ, we need to test this assump
Is the average salary the same for each of the grade levels? (Assume equal variance, an
Use the input table to the right to list salaries under each grade level.
Null Hypothesis:
Alt. Hypothesis:
Place B55 in Outcome range box.
What is the p-value:
Is P-value < 0.05? Do you reject or not reject the null hypothesis: If the null hypothesis was rejected, what is the effect size Meaning of effect size measure: Interpretation: <1 point>
3
The table and analysis below demonstrate a 2-way ANOVA with replication. Please in
Male
BA
1,017
0,870
1,052
1,175
MA
1,157
0,979
1,134
1,149
Ho: Average compas by gender are e
Ha: Average compas by gender are n
Ho: Average compas are equal for e
Ha: Average compas are not equal fo
Ho: Interaction is not significant
Female
1,043
1,074
1,020
0,903
0,982
1,086
1,075
1,052
1,096
1,025
1,000
0,956
1,000
1,043
1,043
1,210
1,187
1,043
1,043
1,145
1,043
1,134
1,000
1,122
0,903
1,052
1,140
1,087
1,050
1,161
1,096
1,000
1,041
1,043
1,119
1,043
1,000
0,956
1,129
1,149
Ha: Interaction is significant
Perform analysis:
Anova: Two-Factor With Replication
SUMMARY BA
Male
Count
Sum
Average
Variance
12
12,349
1,02908333
0,00668645
Female
Count
Sum
Average
Variance
12
12,791
1,06591667
0,00610245
Total
Count
Sum
Average
Variance
24
25,14
1,0475
0,00647035
ANOVA
Source of Variation SS
Sample
Columns
Interaction
Within
0,00225502
0,00623352
0,00641719
0,25873675
Total
0,27364248
Interpretation:
For Ho: Average compas by gender are equal Ha: Average compas by gender are n
What is the p-value:
Is P-value < 0.05? Do you reject or not reject the null hypothesis: If the null hypothesis was rejected, what is the effect size value (eta squared): Meaning of effect size measure: For Ho: Average compas are equal for all degrees Ha: Average compas are not equal fo What is the p-value: Is P-value < 0.05? Do you reject or not reject the null hypothesis: If the null hypothesis was rejected, what is the effect size value (eta squared): Meaning of effect size measure: For: Ho: Interaction is not significant Ha: Interaction is significant What is the p-value: Is P-value < 0.05? Do you reject or not reject the null hypothesis: If the null hypothesis was rejected, what is the effect size value (eta squared): Meaning of effect size measure: What do these decisions mean in terms of our equal pay question: <1 point>
4
Many companies consider the grade midpoint to be the “market rate” – what is needed t
Does the company, on average, pay its existing employees at or above the market rate?
Null Hypothesis:
Alt. Hypothesis:
Statistical test to use:
Place the cursor in B160 for test.
What is the p-value:
Is P-value < 0.05? What else needs to be checked on a 1-tail in Do we REJ or Not reject the null? If the null hypothesis was rejected, what is NA Meaning of effect size measure: NA Interpretation: <2 points>
5.
Using the results up thru this week, what are your conclusions about gender equal pay
ation, but males are a bit more spread out.
iffer between males and females in the population.
age performace rating the same for all grades?
You can use these columns to place grade Perf Ratings if desired.
A
B
C
D
E
F
need to test this assumption.
sume equal variance, and use the analysis toolpak function ANOVA.)
If desired, place salaries per grade in these columns
A
B
C
D
E
th replication. Please interpret the results.
compas by gender are equal
compas by gender are not equal
compas are equal for each degree
compas are not equal for each degree
F
on is significant
actor With Replication
MA
Total
12
24
12,9
25,249
1,075 1,052042
0,00652 0,006866
12
24
12,787
25,578
1,065583 1,06575
0,004213 0,004933
24
25,687
1,070292
0,005156
df
MS
F
P-value
F crit
1 0,002255 0,383482 0,538939 4,061706 (This is the row variable or gender.)
1 0,006234 1,060054 0,30883 4,061706 (This is the column variable or Degree.)
1 0,006417 1,091288 0,301892 4,061706
44 0,00588
47
compas by gender are not equal
Place data values in these columns
Salary
Midpoint
about gender equal pay for equal work at this point?
…
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