Kindergarten students were participants in a study investigating fine motor skills of 37 children. The children had their fine motor skills measured before the study (a combination of hand use, eye-hand coordination, and manual dexterity) and again after undergoing 7 months of occupational therapy. With the instrument used, high scores indicated stronger fine motor skills. Summary statistics are given below:
Difference | n | Sample Diff | Std. Err. | Min | Max |
d = Pre - Post | 37 | -7.8109 | 2.0715 | -36 | 9 |
Can one conclude the fine motor skills in a population similar to these students would be stronger after 7 months of occupational therapy? Use a significance level of 0.01. Refer to your answer above to help with the alternative hypothesis of strengthened scores.
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
ANSWER::
Ho:μd=0 , Ha:μd<0
reject Ho if probability < α
TS:t =difference/standard error =(-7.8109)/(2.0715)=-3.7706
from excel: probability =tdist(abs(-3.7706),36,1)=0.0003
At the 0.01 level, there is significant evidence to conclude occupational therapy strengthens the mean fine motor scores
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