Scores on a reading comprehension test were recorded for twogroups of 9 students

Question

Scores on a reading comprehension test were recorded for twogroups of 9 students enrolled in a remedial reading class. Onegroup read each test passage aloud and the other group readsilenlty. The resulting test scores are given below: Oral    35 31 29 25 34 40 27 32 31 Silent   41 35 31 28 35 44 32 37 34 Do the data provide sufficient evidence to indicate that themean comprehension score is different for the oral and silentreading methods? Use alpha = .05 Scores on a reading comprehension test were recorded for twogroups of 9 students enrolled in a remedial reading class. Onegroup read each test passage aloud and the other group readsilenlty. The resulting test scores are given below: Oral    35 31 29 25 34 40 27 32 31 Silent   41 35 31 28 35 44 32 37 34 Do the data provide sufficient evidence to indicate that themean comprehension score is different for the oral and silentreading methods? Use alpha = .05

Explanation / Answer

Oral: xbar1=31.56, s1=4.48 Silent: xbar2= 35.22, s2= 4.94 The test hypothesis is Ho:1=2 Ha:1 not equal 2 The test statistic is t=(xbar1-xbar2)/(s1^2/n+s2^2/n) =(31.56-35.22)/sqrt(4.48^2/9 + 4.94^2/9) = -1.65 t(0.025,df=n1+n2-2=9+9-2=16) =-2.12 (check student t table) Since t=-1.65>-2.12, we do not reject Ho.

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