Is it significant More than 200,000 people worldwide take

Chapter , Problem 6.90

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Is it significant? More than 200,000 people worldwide take the GMAT examination each year when they apply for MBA programs. Their scores vary Normally with mean about m 525 and standard deviation about s 100. One hundred students go through a rigorous training program designed to raise their GMAT scores. Test the following hypotheses about the training program H0: m 525 Ha: m 525 in each of the following situations. (a) The students average score is x 541.4. Is this result significant at the 5% level? (b) Now suppose that the average score is x 541.5. Is this result significant at the 5% level? (c) Explain how you would reconcile this difference in significance, especially if any increase greater than 15 points is considered a success. USE

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