College Board SAI college entra exam consists of two sections: math and evidence-based reading and writing (EBKW). 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 1 2 3 4 5 6 v Math 540 432 528 574 448 502 Math test EBRW test Which test reports the higher mean score? - Select your answer - ✓ EBRW 474 380 463 612 420 526 What are the estimates of the population mean scores for the two tests? Student 7 8 9 10 11 12 Math 480 499 610 572 390 593 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= What is the p-value? Round your answer to four decimal places. EBRW 430 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. II. 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. II b. What is the point estimate of the difference between the mean scores for the two tests? 459 615 541 335 613

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 5PPS

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Transcribed Image Text: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 1 2 Math test 3 EBRW test 4 Which test reports the higher mean score? Select your answer - ✓ 5 6 Math 540 432 528 574 448 502 What are the estimates of the population mean scores for the two tests? EBRW 474 380 463 612 420 526 Student 7 8 9 10 11 593 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= What is the p-value? Round your answer to four decimal places. 12 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. II b. What is the point estimate of the difference between the mean scores for the two tests? Math 480 499 610 572 390 EBRW 430 459 615 541 335 613

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