Answer Happy

You may need to use the appropriate technology to answer this question. 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 2 3 لما O 4 5 6 7 8 9 10 11 12 O Ho: Ma=0 H₁₂ : MO Hoi Hd Hai Hd 50 <=0 540 Ho Hd O H₂: Mg=0 432 Ho: Mg>O Ha Ha so 528 574 448 502 Formulate the hypotheses. Ho: Maso H₂: Mg>O 480 499 Glo 572 390 593 474 613 (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 score.). 380 457 612 420 526 430 459 615 541 329

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? Reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. O 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. O 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. (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 Which test reports the higher mean score? The math test reports a -Select-- mean score than the writing test.