Question

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 cares for sale of 12 t h Student Math Writing 38 502 499 610 572 541 390 593 613 math score-writing score) mean for the math scores and the population mean for the writing scores ( (a) Use a 0.05 level of significance and test for a difference between the Formulate the hypotheses. W: 50 M: -0 H: -D Hoilla Hoing so H >

Answer 1

I I let us defined c d= math score-writing score . The nypotheses are Ho: Md = 0 le difference in scores ils insignificant Hai led to le difference in scores ils significant. Here difference (d) Studenti math. 540 432 I writing I 474 380 463 606 २७ 574 - 32. ã Lo so ernswe - 420 586 1.430 -p4 50 u59 448 5०२ YQD 499 610 572 890 1 593 1.40 609 591 335 [613 155 N = 12

Here difference math score-couiting score test statistici es ht: de sin SR I Åldird)? na 12 a = 1 166652f - .+(-20%) +1-26-28)2] SP + 8(66-28) -- 1276.787 1276787 12 p-value = Plotly tear] [ltl 32.521 = Plth -2.501] +P[t> 2521] a P/422.5017 since t is symmetric 2 distribution) 0.0284

since b-value c 0.05 select do we can conclude that there es a significant difference between the population mean score for the math test and the writing test. Part-b Point estimate of difference between Score = math score = 540f.a +593 = 514 12 writing score= 474f- of 613 = 480 clearly math test score the higher mean score. Here math test reports 26 higher mean score than the writing test.