In: Statistics and Probability
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.