School administrators selected a simple random sample of 40 elementary school st

Question

School administrators selected a simple random sample of 40 elementary school students and divided them into 20 pairs, with members of each pair having equal indicators of academic ability in mathematics. School administrators then selected one student from each pair at random to participate in an alternative mathematics curriculum while the other student received a traditional curriculum. At the end of the year, all of the students received a mathematics skills assessment, measured on a 100-point scale. School administrators are interested in determining if the alternative curriculum helps or hinders student performance. They speci fy a null hypothesis corresponding to no difference between the two curriculums and an alternative hypothesis to indicate that the curriculums are different in some way, where ? is the mean difference in pairs of student's scores. Ho: ? = 0 Group Sample Sample standard Standard error Descriptiorn Alternative Traditional Alternative-Traditional deviation $1 = 7.183 s2= 14.553 s = 17.606 estimate SEI = 1.606 SE2=3.254 SE = 3.937 mean ? = 86.70 X2=77.90 x=8.80 2 Difference

Explanation / Answer

for samples are paired; this is matchd pair study

here as we know that test statistic of the data : test statisic t =rstimated difference/std error =17.606/3.937=4.47

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