1. The College Board is interested in learning about its SAT scoring. Specifically, the CEO David Coleman is convinced the Math section is easier than the Verbal. To test this claim, the R&D department at the College Board collected a sample of 100 students and recorded their Math and Verbal scores.
   1. Which hypothesis test is appropriate here? Why?
   2. What are the appropriate hypotheses?
   3. Calculate the test statistic using the below output:
   4. What is the p-value? Interpret this p-value in the context of the question at hand.
   5. Construct your conclusion in context at the alpha significance level of .05.
   6. Can we use the confidence interval approach to hypothesis testing here? If so, confirm your findings using the appropriate confidence level and interpret your C.I. in context. If not, why not?

Descriptive Statistics: Math, Verbal, Difference Statistics Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum Math 100 0 589.31 5.27 52.70 434.00 556.75 589.50 623.00 744.00 Verbal 100 0 561.82 6.80 68.02 307.00 521.00 563.00 606.50 749.00 Difference 100 0 27.49 8.61 86.10 -171.00 -34.25 20.50 83.00 278.00