Question

In a test of two population means with unknown variances, two independent samples of n1 = 8 and n2 = 10 were taken. The data is given below. Both populations are normally distributed: Sample From Population 1: 12, 10, 20, 20, 11, 13, 8, 9 Sample From Population 2: 20, 19, 16, 23, 17, 17, 18, 17, 10, 18 (a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses: Ho: σ1 = σ2 Ha: σ1 ≠ σ2 (b) Determine the value of the 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. (d) Using a significance level of 0.05, the null hypothesis should be rejected if the variation in Population 1 is statistically different from the variation in Population 2.

          In a test of two population means with unknown variances, two independent samples of n1 = 8 and n2 = 10 were taken. The data is given below. Both populations are normally distributed:

Sample From Population 1: 12, 10, 20, 20, 11, 13, 8, 9
Sample From Population 2: 20, 19, 16, 23, 17, 17, 18, 17, 10, 18

(a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses:
Ho: σ1 = σ2
Ha: σ1 ≠ σ2

(b) Determine the value of the 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.

(d) Using a significance level of 0.05, the null hypothesis should be rejected if the variation in Population 1 is statistically different from the variation in Population 2.

Added by Matthew J.

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