Question

Kindergarten students were participants in a study investigating fine motor skills of 37 children. The children...

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
  • Determine what positive and negative differences mean regarding a student's fine motor skills. Pay attention to the order of subtraction in the output.
    • A positive difference means the Select an answer pre-test post-test  score was greater than the Select an answer pre-test post-test  , implying fine motor skills were Select an answer strengthened weakened  over the 7 months. A negative difference means the Select an answer pre-test post-test  score was greater than the Select an answer post-test pre-test  score, implying fine motor skills were Select an answer strengthened weakened  over the 7 months.

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.

  • Select the appropriate hypotheses to test the claim made.

    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

  • =    reject HoHo if probability ? < ≠ >   αα
  • TS: t =
  • probability = Select an answer 0.0006 0.0003 0.9997
  • decision: Select an answer Reject H₀ fail to reject H₀
  • At the 0.01 level, there Select an answer is is not  significant evidence to conclude occupational therapy strengthens the mean fine motor scores.

Homework Answers

Answer #1

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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