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Suppose that we are testing 0: 1 = 2 v.s. 1: 1 2 where the two sample size are 1 = 2 = 20. Both
population variances are unknown. The sample variances are 1 2 = 2.9241 and 2 2 = 6.1504. The
sample mean are 1=50.19 and 2=52.52, respectively. (1) Can you conclude that the two
population variances are equal? (2) Is there any statistical significance between two population
means? (3) Find a 95% Confidence Interval on the difference in the two population means.

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Suppose that we are testing 0 1 2 vs 1 1 2 where the .pdf

  • 1. Suppose that we are testing 0: 1 = 2 v.s. 1: 1 2 where the two sample size are 1 = 2 = 20. Both population variances are unknown. The sample variances are 1 2 = 2.9241 and 2 2 = 6.1504. The sample mean are 1=50.19 and 2=52.52, respectively. (1) Can you conclude that the two population variances are equal? (2) Is there any statistical significance between two population means? (3) Find a 95% Confidence Interval on the difference in the two population means.