The data in MEAP01.RAW are for the state of Michigan in the year 2001. Use these data to answer the following questions.
(i) Find the largest and smallest values of math4. Does the range make sense? Explain.
(ii) How many schools have a perfect pass rate on the math test? What percentage is this of the total sample?
(iii) How many schools have math pass rates of exactly 50%?
(iv) Compare the average pass rates for the math and reading scores. Which test is harder to pass?
(v) Find the correlation between math4 and read4. What do you conclude?
(vi) The variable exppp is expenditure per pupil. Find the average of exppp along with its standard deviation. Would you say there is wide variation in per pupil spending?
(vii) Suppose School A spends $6,000 per student and School B spends $5,500 per student. By what percentage does School A's spending exceed School B's? Com- pare this to 100 · [log(6,000) - log(5,500)], which is the approximation percent- age difference based on the difference in the natural logs. (See Section A.4 in Appendix A.)