At Southwestern University the average ACT mathematics score for freshmen entering college algebra is 25 with s = 1.5. This year a random sample of freshmen will be taken to see if the average ACT math score has changed using a significance level of a = 0.05.

Let's Do It! 10.7

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State the null and alternative hypotheses.

A random sample of 30 freshman entering college algebra revealed Xbar (sample mean)=24.5. Assume that the distribution of ACT scores is normal.What is the value of the test statistic?

What is the p-value for this test?

Should the coordinator think that the average has actually changed? Explain.