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Nelson thinks that the students from the School of Engineering do better in Math 152 than...

Nelson thinks that the students from the School of Engineering do better in Math 152 than the average of all Turabo University students. The average for all the students in that course is 3.11. Nelson randomly selects 50 students from the School of Engineering and for that course they have an average of 3.34 with a standard deviation of 0.11. Do these data provide strong evidence that the students from the School of Engineering do better in Math 152 than the average of all Turabo students? Continue with the problem even if the conditions are not met.

a. Write the hypotheses.

b. Explicitly check conditions and use the appropriate test statistic.

c. Using an alpha of 0.05, provide the conclusion of the hypothesis test.

d. Construct a 98% confidence interval for the average grade of Math 152 for all the students of the School of Engineering based on the information provided here.

Math   Statistics-And-Probability   
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