To examine the effect of relaxing music on math test performance, a researcher wants to compare the average math test scores of participants who completed the test with relaxing music to performance of participants who completed the same math test without music. The partially computed data collected in the study are shown below: Math Test with Music:         Math Test without Music: n1 = 16                                     n2 = 12 M1 = 82                                    M2 = 78 SS1 = 150                                 SS2 = 140 Based on these results, is there a significant effect of relaxing music on math test performance? Use a t-test for independent samples with p < .01, 2-tails to answer this research 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: Computed pooled variance sp2: Estimated standard SM1 - M2: Computed t: Critical t-value for the 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
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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To examine the effect of relaxing music on math test performance, a researcher wants to compare the average math test scores of participants who completed the test with relaxing music to performance of participants who completed the same math test without music. The partially computed data collected in the study are shown below:

Math Test with Music:         Math Test without Music:

n1 = 16                                     n2 = 12

M1 = 82                                    M2 = 78

SS= 150                                 SS2 = 140

Based on these results, is there a significant effect of relaxing music on math test performance? Use a t-test for independent samples with p < .01, 2-tails to answer this research 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:
  • Computed pooled variance sp2:
  • Estimated standard SM1 - M2:
  • Computed t:
  • Critical t-value for the decision about H0:
  • Decision about H0 (i.e., reject or fail to reject):
  • Estimated Cohen's d (if applicable):
  • Conclusion
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