According to a salary survey, the average salary offered to computer science Majors who graduated in May 2002 was $50,352. A random sample of 200 showed they were offered a mean salary of $51,750 with a standard deviation of $5240. You want to check if the average salary has increased since 2002. Using the 1% significance level, what's your conclusion? a. State the null and alternative hypotheses. b. Construct a test statistic to test the hypotheses. c. Find the critical value, and determine the rejection and non-rejection regions for this statistic. d. Make the decision and interpret.