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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

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