Be what is the point estimate the difference between a mean scores for the two test? What are the estimates of the population mean scores for the to test the math test and EBRW test

ENGAGE |MINDTAP 2 ter 10 Assignment Q Search this course Assignment: Chapter 10 Assignment Assignment Score: 37.57% Save Submit Assignment for Grading Questions Exercise 10.25 (Inferences About the Difference Between Two Population Means: Matched Samples) 4 Question 2 of 10 1. O 2. O Hint(s) Check My Work 3. O The College Board SAT college entrance exam consists of two sections: math and evidence-based reading and writing 4. (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. 5. DATA file 6. O 7. O Student Math EBRW Student Math EBRW 8. O 1 540 474 480 430 N 432 380 8 499 459 9. O 3 528 463 9 610 615 10. O 574 612 10 572 541 UI A 448 $20 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. t = 131.29 X What is the p-value? Round your answer to four decimal places. 64.08 x 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? 13.93 X What are the estimates of the population mean scores for the two tests? 50.15 X Math test 78.01 X EBRW test Which test reports the higher mean score? Math test