CENGAGE |MINDTAP Q Search this course apter 10 Assignment O O X The College Board SAT college entrance exam consists of two sections: math and evidence-based reading and writing (EBRW). Sample data showing the math and EBRW scores for a sample of 12 students who took the SAT follow. Click on the datafile logo to reference the data. DATA file Student Math EBRW Student Math EBRW 9 1 540 474 480 430 N 10. 432 380 8 490 459 3 528 463 9 610 615 4 574 612 10 572 541 448 420 11 390 335 502 526 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 EBRW scores. What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places. What is the p-value? Round your answer to four decimal places. What is your conclusion? 1. Reject He. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. II. Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. Ill. Reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. IV. Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. b. What is the point estimate of the difference between the mean scores for the two tests? What are the estimates of the population mean scores for the two tests? Math test