35% ... + 3:24 PM Sun Jun 8 MindTap X | @ Cengage Dic | 7 BUS-352 Ce | . MindTap - C | 7 BUS-352 C 25 ong.cengage.com Q Search this course ? CENGAGE | MINDTAP X Chapter 10 Assignment Hint(s) Check My Work 5 The College Board SAT college entrance exam consists of two sections: math and 6. evidence-based reading and writing (EBRW). Sample data showing the math and 7. EBRW scores for a sample of 12 students who took the SAT follow. Click on the 8. datafile logo to reference the data. DATA file A-Z 10 O EBRW EBRW Student Math Student Math 7 480 430 1 540 474 Office 2 432 380 8 499 459 3 528 463 9 610 615 4 574 612 10 572 541 5 448 420 11 390 335 N 6 502 526 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. t = 2.34 What is the p-value? Round your answer to four decimal places. A+ 0.0394 What is your conclusion? I. 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. 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. III. 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. III b. What is the point estimate of the difference between the mean scores for the two tests? 25.0 What are the estimates of the population mean scores for the two tests? Math test 518.4 X EBRW test 455.6 X