A researcher would like to determine if art therapy is effective in increasing well-being of nursing home residents. A sample of n = 16 nursing home residents was asked to rate their well-being before and after an art therapy session. The data showed that the average change in participants' well-being was MD = 6.1 with the standard deviation of D scores s = 15. Are the data sufficient to conclude that there is a significant improvement of well-being of nursing home residents after the art therapy? Use the repeated-measures t-test with α = .05 1-tail to answer this question. Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors. ANSWER H0: H1: Estimated standard error SM: Computed t statistic: Critical t-value used for decision about H0: Decision about H0 (i.e., reject or fail to reject): Estimated Cohen's d (if applicable): Conclusion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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A researcher would like to determine if art therapy is effective in increasing well-being of nursing home residents. A sample of n = 16 nursing home residents was asked to rate their well-being before and after an art therapy session. The data showed that the average change in participants' well-being was MD = 6.1 with the standard deviation of D scores = 15.

Are the data sufficient to conclude that there is a significant improvement of well-being of nursing home residents after the art therapy? Use the repeated-measures t-test with α = .05 1-tail to answer this question.

Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors.

ANSWER

  • H0:
  • H1:
  • Estimated standard error SM:
  • Computed t statistic:
  • Critical t-value used for decision about H0:
  • Decision about H0 (i.e., reject or fail to reject):
  • Estimated Cohen's d (if applicable):
  • Conclusion
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