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Northwood and Eastwood are rival schools that wish to compare how their students did in a...

Northwood and Eastwood are rival schools that wish to compare how their students did in a math competition. 72 randomly chosen Northwood students participated and received a mean score of 28 with a standard deviation of 8, 98 randomly chosen Eastwood students participated and received a mean score of 25 with a standard deviation of 10.
(a) The Eastwood math teacher wants to show through statistics that her students receive a higher mean score in the contest. State her hypotheses.

(b) Compute the test statistic and p-value for this test.

(c) Reach your conclusion at the 0.05 significance level. Be sure to interpret in the context of the problem.


(d) In a separate test, the Eastwood teacher finds evidence that Eastwood students performed better than Southwood students. Would this prove that the Eastwood teacher was more effective than the Southwood teacher? Explain briefly.

Math   Statistics-And-Probability   
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