!Marc Gestopa Difference in Salary of Education and Engineer Majors by Gender
Generated Jun 3, 2016 by terrycrews
State: μ_{F} μ_{M }= the true difference in mean salary of male and female education and engineer majors like those in the sample.
H_{o}: μ_{F} μ_{M }= 0
H_{A : }μ_{F} μ_{M}≠ 0
Plan: 2sample ttest for difference in means
α = 0.05
Random: 2 independent random samples
10 % Rule: Females= 10(1088) = 10880 is less than the total population of females
Males= 10(1144) = 11440 is less than the total population of males
LCC: Females: 1088 is more than 30 so is a large sample size and therefore the sampling distribution is normally distributed.
Males: 1144 is more than 30 so it is a large sample size and therefore the sampling distribution is normally distributed.
Do: t = 23.335772 Pvalue= <0.0001 df = 2202.1975
Conclude: Since the p value is less than the alpha (<0.0001 < .05) we reject the null and have convincing evidence that there is a difference in the the mean salary of male and female education and engineering majors like those in the sample.
Hypothesis test results: μ_{1} : Mean of Salary where Gender="Female" μ_{2} : Mean of Salary where Gender="Male" μ_{1}  μ_{2} : Difference between two means H_{0} : μ_{1}  μ_{2} = 0 H_{A} : μ_{1}  μ_{2} ≠ 0 (without pooled variances)

Summary statistics for Salary:
Where: Gender="Female" Group by: Gender

Summary statistics for Salary:
Where: Gender="Male" Group by: Gender
