MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 post-test pre-test  score was greater than the Select an answer post-test pre-test  , implying fine motor skills were Select an answer weakened strengthened  over the 7 months. A negative difference means the Select an answer post-test pre-test  score was greater than the Select an answer post-test pre-test  score, implying fine motor skills were Select an answer weakened strengthened  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 0.9997 0.0003 0.0006 
  • decision: Select an answer fail to reject H₀ Reject H₀ 
  • At the 0.01 level, there Select an answer is not is  significant evidence to conclude occupational therapy strengthens the mean fine motor scores. 
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