We wish to compare the GPAs of male and female Eberly College of Science undergraduates. We want to see if there is a difference in the GPAs for the two groups of students. The computer output from our analysis is below:
Two-Sample T-Test and CI: GPA, Gender
Gender N Mean StDev SE Mean
Female 126 3.277 0.469 0.042
Male 99 3.205 0.455 0.046
Difference = mu (Female) - mu (Male)
Estimate for difference: 0.071371
95% CI for difference: (-0.051222, 0.193964)
T-Test of difference = 0 (vs not =): T-Value = 1.15 P-Value = 0.252
a. What is the response variable?
b. What is the explanatory variable?
c. What type of data is the response variable? Measurement or categorical?
d. What population value will be used in our hypotheses? Population mean or Population proportion?
e. What type of samples do we have? Dependent (matched pairs) or Independent
f. What type of study is this? Observational or Randomized Experiment
g. What are the null and alternative hypotheses?