Lecture12 - March 19th Example Bayport High was chosen to...

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Unformatted text preview: March 19th Example Bayport High was chosen to participate in a new curriculum program. A year later, 86 Bayport sophomores who participated in this program was randomly selected to take a SAT-I math exam. The national average on this exam was 494 with a standard deviation of 124. The 86 students averaged a score of 528. Can it be claimed at the 0.05 = level that the new curriculum is effective? (Another question for later, if the true mean is 514, what is the power of the test at 0.05 = ?) Solution Test on one population mean 86, 528, 124, large sample n x = = = : 494 : 494 a H H = f Test statistic : (0,1) ~ H X Z N n - = & 528 494 2.54 124 86 z- = = At 0.05 0.05, z 2.54 1.645 Z = = = f Therefore, we reject H and conclude the new curriculum is effective. p-value It is the probability that we observe something at least as extreme as the sample (or test statistic) observed, given that the null hypothesis is true....
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Lecture12 - March 19th Example Bayport High was chosen to...

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