Question: #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 in a foreign country. For a random sample of 100 of such students, the mean and standard deviation are 508 and 100.

(a) Set up the hypotheses

(b) Compute the tests statistics

(c) Find the p-value

(d) Based on (c) can you conclude that the population mean for students born in a foreign country equals 500?