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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 SATI 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. pvalue 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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 Spring '08
 Zhu,W

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