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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 540 432 528 574 448 502 480 499 610 572 474 380 463 606 420 2 4 526 430 459 609 541 335 613 6 8 10 390 12 593 (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 writing scores. (Use math score- writing score.) Formulate the hypothesesFormulate the hypotheses Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value - What is your conclusion? O 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 H0, 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 H0. we cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. ● Do not reject H0. we can 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? Math Writing

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given dJo ou Hypolhests Test: Paised obserwatins pothesi mean meth 514-000 498.000 meon Hpyr 86.000 men differente Math 64-7014 std. dev. 사doming std. dev exo db P-yalue Lwo-laded) 10 91b 0363 P-e-0565. releet Ho ke an nclude ths there is a men Scores to the month s and theb) he point etimte ob the deee belpeen the meon cors toy the Ao ests fe 96 The math test veports a highe than the test,

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