Independent random samples of 80 measurements were drawn from two quantitative populations, 1 and 2. Here is a summary of the sample data:
Sample 1 2
Sample Size 80 80
Sample Mean 11.6 9.7
Sample Variance 27.9 38.4
If your research objective is to show that $\mu_1$ is larger than $\mu_2$, state the alternative and the null hypotheses that you would choose for a statistical test.