Week 2: Identifying Significant Differences – part 1

To Ensure full credit for each question, you need to show how you got your results. This involves either showing where the data you used is located

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Get Help Now!or showing the excel formula in each cell. Be sure to copy the appropriate data columns from the data tab to the right for your use this week.

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As with our examination of compa-ratio in the lecture, the first question we have about salary between the genders involves equality – are they the same or different?

What we do, depends upon our findings.

1 As with the compa-ratio lecture example, we want to examine salary variation within the groups – are they equal? Use Cell K10 for the Excel test outcome location.

a What is the data input ranged used for this question:

b Which is needed for this question: a one- or two-tail hypothesis statement and test ?

Answer:

Why:

c. Step 1: Ho:

Ha:

Step 2: Significance (Alpha):

Step 3: Test Statistic and test:

Why this test?

Step 4: Decision rule:

Step 5: Conduct the test – place test function in cell k10

Step 6: Conclusion and Interpretation

What is the p-value:

What is your decision: REJ or NOT reject the null?

Why?

What is your conclusion about the variance in the population for male and female salaries?

2 Once we know about variance quality, we can move on to means: Are male and female average salaries equal? Use Cell K35 for the Excel test outcome location.

(Regardless of the outcome of the above F-test, assume equal variances for this test.)

a What is the data input ranged used for this question:

b Does this question need a one or two-tail hypothesis statement and test?

Why:

c. Step 1: Ho:

Ha:

Step 2: Significance (Alpha):

Step 3: Test Statistic and test:

Why this test?

Step 4: Decision rule:

Step 5: Conduct the test – place test function in cell K35

Step 6: Conclusion and Interpretation

What is the p-value:

What is your decision: REJ or NOT reject the null?

Why?

What is your conclusion about the means in the population for male and female salaries?

3 Education is often a factor in pay differences.

Do employees with an advanced degree (degree = 1) have higher average salaries? Use Cell K60 for the Excel test outcome location.

Note: assume equal variance for the salaries in each degree for this question.

a What is the data input ranged used for this question:

b Does this question need a one or two-tail hypothesis statement and test?

Why:

c. Step 1: Ho:

Ha:

Step 2: Significance (Alpha):

Step 3: Test Statistic and test:

Why this test?

Step 4: Decision rule:

Step 5: Conduct the test – place test function in cell K60

Step 6: Conclusion and Interpretation

What is the p-value:

Is the t value in the t-distribution tail indicated by the arrow in the Ha claim?

What is your decision: REJ or NOT reject the null?

Why?

What is your conclusion about the impact of education on average salaries?

4 Considering both the compa-ratio information from the lectures and your salary information, what conclusions can you reach about equal pay for equal work?

Why – what statistical results support this conclusion?

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