Suppose we wished to test the hypothesis at the 005 level of

Suppose we wished to test the hypothesis at the 0.05 level of significance. What value of the F distribution would mark the rejection region?

E-Train Corporation designs employee training software for the oil industry. It is investigating three different designs for a new training program, with the goal of choosing the one that helps people best learn new concepts, as measured by a test on the new material. As a first step, the company wants to see if there is a difference in the average improvement from a pre-test (given before training) to a post-test (given after training) among the three designs. The company will use ANOVA to determine this. Three random samples of people with similar employment experience in the oil industry were chosen and given a pre-test and a post-test on the material. The company will compare the mean percentage change from pre-test to post-test for each design. The results of running the ANOVA are shown below Anova: Single Factor SUMMARY Grou Count Sum A Variance Design 1 Design 2 Design3 12 173.9 12 238.3 12 94.4 14.5 19.9 7.9 29.0 8.1 25.5 ANOVA Source of Variation MS p-value 0.0076 F crit Between Groups (SST Within Groups (SSE 236.7? 688.2 18.3? 20.9 Total (SSTot 925 35 Which of the following represents the correct statement of the ANOVA null and alternative hypotheses?

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