Part 1 of 4 A college professor believes that students achieve a higher grade point average (GPA) in the fall semester than in the spring semester. To test her theory, she samples 31 of her fall semester students and 39 of her spring semester students. The fall semester students had an average semester GPA of 3.05 with a standard deviation of 0.53; the spring semester students had an average semester GPA of 3 with a standard deviation of 0.62. If the GPAs in both student populations are normally distributed, conduct a hypothesis test using a 7% level of significance to test the professor's theory. Step 1: State the null and alternative hypotheses. Let up indicate the mean GPA of fall semester students and us indicate the mean GPA of spring semester students. Ho: μF - με εννο Ha: HF-s (So we will be performing a right-tailed The differences of sample means are t-distributed and distribution standard deviation. test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. Submit Part ▼ V with distribution mean o