8. 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 m a foreign country. For a random sample of 100 of such students. the mean and standard deviation on this exam equal 508 and 100.

a) Set up hypotheses for a significance test.

b) Compute the test stausuc.

c) Report the P-valute, and interpret

d) Based on (c). can you conclude that the population mean for students born in a foreign county equals 500? Why or why not?

e) Make a decision about Ho, using a = 05

f) Construct a 95% confidence interval for u. Show the correspondence between whether 500 falls in the interval and whether H = 500 is rejected in favor of Hu=500