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.StudentMathWriting5404744323743.5284634574612448420502526480430499459610615105725411139032912593613(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. (Usemath score -writing score.)Formulate the hypotheses.O Ho: Hg=0= Pri :°HH = 0 0 5 Pr :°H0 < Pri :°H05 Pri :°HCalculate 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 H:We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.O 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 H. 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 H. 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 scorewriting 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--vmean score than the writing test.

Name: A standardized exam consists of three parts: math, writing, and criti
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 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.StudentMathWriting5404744323743.5284634574612448420502526480430499

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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 folo Student Math Writing 540 474 432 374 528 463 4 574 612