Question

question boy Using the following output: Analysis of Variance for SAT Group 2 625.2 1... 0.000 27.1 Total 32 1945.9 we can conclude that: the data provide strong evidence that SAT scores are related to learning strategy the data provide strong evidence that SAT scores are related to learning strategy in the following way. The mean SAT score for students who pay for coaching is higher than the mean SAT score for students who study themselves, which in turn is higher than that of students who do not study for the test. the data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal the data do not provide sufficient evidence that SAT scores are related to learning strategy. Both (A) and (C) are correct.

Answer 1

Answer Date: 11/11/2019 To test the hypothesis is that the three mean SAT scores are not all equal at 5% level of significance. The null and alternative hypothesis is, H:44 = 4y = 2 H : at least one u is unequal. The F-test statistics is, From Computer output, the F-test statistics is 11.43. The p-value for this test is, From Computer output, the p value for this test is 0.000. Decision

The conclusion is that p-value in this context is less than 0.05 which is 0.000, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that the three mean SAT scores are not all equal and SAT scores are related to learning strategy. The result is statistically significant. The answer option is 5.