Conduct a test of LaTeX: H_0: mu_1 le mu_2H0:μ1≤μ2 versus LaTeX: H_a: mu_1 > mu_2Ha:μ1>μ2 for the sample data summarized here. Use LaTeX: alpha = 0.05α=0.05.
Population1 Population2
Sample Size 15 12
Sample Mean 70.5 78.5
Sample Standard Deviation 8.27 8.38