Question: A math test was administered to a sample of 41 eighth grade students, at the end of the eighth grade, who had enrolled in a

A math test was administered to a sample of 41 eighth grade students, at the end of the eighth grade, who had enrolled in a special enrichment program since the beginning of the school year. Suppose that the population standard deviation is 100, and the sample mean is 470.174. The researcher is interested in comparing the sample mean and the population mean of the untreated population (which is 440).

a.Construct a test statistic to determine whether the mean difference between 470.174 and 440 is statistically significant. What do you conclude?

b.Compute the p-value of the test statistic (using excel or SPSS).

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