SOLUTION: Hi I got a problem of solving this problem: Please help me I badly need it. 7. A random sample of 12 preschool pupils were rated by their teacher on their reading readiness base

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Question 416622: Hi I got a problem of solving this problem: Please help me I badly need it.
7. A random sample of 12 preschool pupils were rated by their teacher on their reading readiness based on a scale of 25 points at the start of the school year. The same pupils were rated by the same teacher at the end of the school year. The ratings are shown in the table below
Pupil 1 2 3 4 5 6 7 8 9 10 11 12
Start 25 22 20 21 20 15 17 22 19 16 19 18
End 25 23 23 22 22 20 19 20 18 18 21 23

Is there significant difference in the reading readiness of the pupils at the start and at the end of the
school year? Test at 0.05 level of significance.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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 =  

 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.