To Examine the Differences Between Salaries of Male and Female

question 109

Essay

To examine the differences between salaries of male and female middle managers of a large bank,90 individuals were randomly selected and the following variables considered:
Salary = the monthly salary (excluding fringe benefits and bonuses)
Educ = the number of years of education
Exper = the number of months of experience
Gender = the gender of an individual;1 for males,and 0 for females
The regression results obtained for the models are as follows:
Model A: Salary = β₀+ β₁Educ + β₂Exper + β₃Gender + β₄Exper × Gender + ε,
Model B: Salary = β₀ + β₁Educ + β₂Exper + ε,are summarized in the following table. Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Define the alternative hypothesis for testing the joint significance of Exper and Exper × Gender in Model A?

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Definitions:

Non-integer Number

A number that is not an integer, implying it can be a fraction, decimal, or irrational number.

Unequal-variances Test

Statistical tests used when comparing two groups that are assumed not to have the same variance.

Student T-distributed

Pertaining to a probability distribution used in statistics for estimating population parameters when the sample size is small and population variance is unknown.

Population Variances

Measures of the spread or distribution of a set of data points in a population, quantifying the degree to which these points differ from the population mean.