The connection speed of two Internet service providers in a specific area at 7:0

Question

The connection speed of two Internet service providers in a specific area at 7:00 p.m. can be modeled by Normal random variables X_1~N(mu_1, 0.927) and X_2~N([mu_2, 1.422). In an experiment, the connection speed at 7:00 p.m. for 16 customers of Provider 1 and 20 customers of Provider 2 in this area were sampled (customers were selected at random). Given equal population means mu_1= mu_2=mu_3 Is the following statement true or false? Explain your answer. "The two sample averages [X_1 and X_2) will also be the same." Compute the probability that X_2 - X_2 > 0.5388

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The connection speed of two Internet service providers in a specific area at 7:0

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