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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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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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