Calculate the test statistic. (Round your answer to three decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-valueWhat is your conclusion?Reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.Reject Ho. We cannot conclude that there is a significant difference between the population mean scores 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?MathWritingWhich test reports the higher mean score?The math test reports a---Select---O mean score than the writing test. 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.StudentMathWriting5404742432380352845745746125448420650252674804308.4994539.610615105725411139033512593613(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.Ho: Ha s0Hi Hd>Ho: Hd = 0+ 0Hai Hd = 00 5 PH :0HHo: Ha# 0Ho: Hg> 0Hai HdsO

Name: Calculate the test statistic. (Round your answer to three decimal pla
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Calculate the test statistic. (Round your answer to three decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-valueWhat is your conclusion?Reject Ho. We can conclude that there is a significant difference between the

Solution: n = 12 Sample size Let x= math score and y = writing score x y d=x-y (d-d) (d-d)2…

Math

Statistics

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 1 540 474 432 380 528 457 4 574 612 448 420 6. 502 526 480 430 8. 499 453 610 615 10 572 541 11 390 335 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 s Formulate the hypotheses. Hoi Hoso Hai Hg> 0 Ho: Hg = 0 Hoi Hoso Hại Ho = 0 Ho: Ho #0 Hgi Ho = 0 Ho: Ha > 0