You may need to use the appropriate technology to answer this question. 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. Student Math Writing 540 468 432 380 528 463 574 612 448 420 502 526 480 424 499 459 610 609 10 572 541 11 390 329 12 593 613 (a) Use a 0.05 level of significance and 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.) Formulate the hypotheses HH SO H : H > Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value - What is your conclusion? O Reject H . We can conclude that there is a sign scores for the math test and the writing test. Do not reject Ho. We can conclude that there ores for the math test and the writing test. Reject Ho. We cannot conclude that there is a sig cores for the math test and the writing test. Do not reject Ho. We cannot conclude that there is a signl cores for the math test and the writing test. (b) What Is the point estimate of the difference between the mean scores for the two tests? (Use math score - writing score.) What are the estimates of the population mean scores for the two tests? Math Writing Which test reports the higher mean score? The math test reports a -Select- Vmean score than the writing test. Submit