Two given populations have distributions with respective means $mu_1$ and $mu_2$ and standard deviations $sigma_1$ and $sigma_2$. You wish to perform the following hypothesis test at a significance level of $alpha = 0.01$. $H_0: mu_1 = mu_2$ $H_1: mu_1 > mu_2$ You obtain the following two (independent) samples: • a sample of size $n = 87$ with a mean of $ar{x}_1 = 50.7$ and a standard deviation of $s_1 = 9.7$ from the first population; • a sample of size $m = 68$ with a mean of $ar{x}_2 = 47.9$ and a standard deviation of $s_2 = 5.1$ from the second population. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is...
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