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In a test of two population means - ] versus /42 - with unknown variances of and o?, two independent samples of n = 8 and n2 = 10 were taken. The data is given below. Both populations are normally distributed. Sample From Population 1: 11, 14, 20, 22, 15, 12, 17, 30 ; Sample From Population 2: 15, 14, 16, 20, 18, 19, 19, 21, 18, 19; Download .cav file (a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses. OA Ho :0 = 03 HA:0 for OB. Ho:ofa OC. Ho:01 =07 HA:OF 03 (b) Determine Levene's test statistic for this test. Use at least two decimals in your answer. Test Statistic = (c) Determine the P-value for this test, to at least three decimal places. P = (d) Using a = 0.05, the null hypothesis should ? . From this data and this version of the hypothesis we infer, the variation in Population 1 is statistically|? the variation in Population 2