Question

• A sample of size 10 is taken from the first population: Sample mean of 101.2 and sample variance of 18.1
• A sample of size 14 is taken from the second population: Sample mean of 98.7 and sample variance of 9.7

1)In order to decide whether pooling is appropriate or not, performing a test at α = 0.2 level of significance : Find the rejection region.

2)In order to decide whether pooling is appropriate or not, performing a test at α = 0.2 level of significance : Find the observed value of the test statistic.

3)If a significance level, not necessarily equal to the choice of questions 1 and 2, is used when the decision on pooling is made and pooling is found to be not appropriate: We wish to compare the means of two populations at α = 0.1 level, testing: Ho: μ1 = μ2 (against H1: μ1 ≠ μ2). Find an interval for the P-value.

Need an answer for 3).

Answer 1

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