How would I find the t and the d in this problem? Could someone show me, thank y

Question

How would I find the t and the d in this problem? Could someone show me, thank you.

Some researchers are interested in a new math intervention to improve the math skills of children with dyscalculia. Children are measured with a math fluency measure before and after 6 weeks of intervention. Scores of the children on the test are below. Did the intervention improve math fluency scores in the children?

Child    Before After 1          24         40

2          26        36

3          35        43

4          32        39

5          42        52

2a. Translate the above question into the symbolic form of a null hypothesis where 1 represents math fluency scores after intervention and 2 represents math fluency scores before intervention. (1 point)

a. 1 2

b. 1 2

c. 1 2

d. 1 = 2

2b. List degrees of freedom, df =           . (1 point) 2c. Calculate the standard error =

         . (2 points)

2d. Calculate the t-statistic, t =         . (2 points)

2e. Assuming an alpha level of 0.05 you would       the null hypothesis. (1 point)

a. Reject

b. Fail to reject

2f. Calculate the effect size, d =          . (2 points)

2g. Interpret this effect size in the context of the example (Hint: Do not just indicate whether it is small, medium, or large). (1 point)

Explanation / Answer

H0: mu1 = mu2

Ha: mu1>mu2

Right tailed test

p value = 0.9856

As p >0.05, fail to reject null hypothesis.

Fluency scores in children Child Before After Diff D 1 24 40 -16 2 26 36 -30 3 35 43 -8 4 32 39 -7 5 42 52 -10 Mean -14.2 Std dev 9.497368 Std error 4.249382 t -3.34166

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