The mean score for all high school seniors taking a college entrance exam equals

Question

The mean score for all high school seniors taking a college entrance exam equals 500 A study is conducted to see whether a different mean applies to those students born in a foreign country. For a random sample of 100 of such students, the mean and standard deviation on this exam equal 515 and 100. a. Set up the hypotheses for a significance test. b. Compute the test statistic c. Based on (b), can you conclude that the population mean for students born in a foreign country equals 500? Why or why not?

Explanation / Answer

Mean = 500
n=100
Stdev = 100
SampleMean = 515

a. Ho: Mu = 500
Ha: Mu !=500

b. Test stattisic = t = (500-515)/(100/sqrt(100)) = -1.5

c.Based on test statistic of -1.5 we conclude that the pop. mean for students born in foreign country equals 500. This is because the test statistic of -1.5 is not inside the critical region of below -1.96

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