Question: Consider the following data from two independent random samples. Assume that the populations are normally distributed. Sample 1 Sample 2 x 1 = 57.8 ????

Consider the following data from two independent random samples. Assume that the populations are normally distributed. Sample 1 Sample 2 x 1 = 57.8 ???? 1 = 5 7 . 8 x 2 = 65.8 ???? 2 = 6 5 . 8 s 1 = 16.2 ???? 1 = 1 6 . 2 s 2 = 10.6 ???? 2 = 1 0 . 6 n 1 = 24 ???? 1 = 2 4 n 2 = 36 ???? 2 = 3 6 Is there evidence that the population variances are different? = 0.04 ???? = 0 . 0 4 (Larger variance is in the numerator.) The test statistic and the statistical decision for this test are, respectively: Choose the closest value 1.58 do not reject H0 -1.32 do not reject H0 1.82 do not reject H0 3.07 reject H0 2.34 reject H0

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