Question 416622
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Hi
Start 25 22 20 21 20 15 17 22 19 16 19 18
Mean[S]= 18.5833
 SD[S] = 3.8720
End 25 23 23 22 22 20 19 20 18 18 21 23
mean[E] = 21.1667  
SD[E} = 2.2088

t =  {{{(MEAN[E] - MEAN[S]) / (SQRT(SD[S]^2/n[S] + SD[E]^2/n[E]))}}}
 t = -2.0075
P(t<-2.0075) = .02 (one-tailed)  .04 (two-tailed)
At the .05  level ofsignificance: .04 <.05 
there is reason to believe there is a dfference in the reading readiness of the
 pupils at the start and at the end of the school year, however at a lower
confidence interval there would not.