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Two samples were taken respectively from two normal populations of means m, and m, (unknown) but of common variances s2 100. The means of each
Two samples were taken respectively from two normal populations of means m, and m, (unknown) but of common variances s2 100. The means of each sample are presented in the table below. We are interested in the difference of the means. Also provided below is an Excel report of the hypothesis tests on two possible means at the 5% significance level. Sample #1 Sample #2 n = 25 n, = 20 x, = 125 X, = 120 Data Difference between means (hypothesis), m, - m, = 0 Meaning threshold a = 0.05 Sample #1 Sample size 25 n Sample mean 125 Estimated population standard deviation 10 Sample #2 Sample size n 20 Sample mean Estimated 120 population standard deviation 10 Intermediate Calculations Sampling standard deviation 3.0000 Sampling difference 5 Z-statistic 1.6667 Bilateral test Lower critical value (Zc1) -1.960 Upper critical value (Zca) 1.960 Lower critical value -5.880 Upper critical value Only 5,880 descriptive-a One-tailed test on the right Upper critical value (Ze) 1.6449 Upper critical value Descriptive 4.9346 threshold-a From the information provided, what would be your decision for a right one-sided test
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