A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. MY NOTES ASK YOUR TEACHER Student Math Writing 540 474 N 432 380 M 528 463 574 606 448 420 502 520 480 430 499 459 610 615 572 541 390 335 593 613 Test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score - writing score.) Calculate the test statistic. (Round your answer to three decimal places.) DETAILS MY NOTES ASK YOUR TEACHER The average home in the U.S. is expected to cost $240,000. A random sample of 53 homes sold this month showed an average price of $232,000. Assume that you have access to this data. We are Interested In determining if the cost of the average home has decreased this month. If the test statistic is -1.62, what is the p-value? (Round your answer to three decimal places.)