researcher wants to know if a treatment significantly changes the wellbeing of someone with depression. The average person with depression scores a 7.2 on a wellbeing scale with a SD of 1.4 points. The researcher administers the treatment to 25 clients for a month and finds their wellbeing at the end to be 7.7. Assume an alpha level of .05.  How do we interpret this effect size?  Would we reject the null hypothesis if the test was nondirectional(two-tailed)?  Would we reject the null hypothesis if the alpha level was .01 (directional/one-tailed)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A researcher wants to know if a treatment significantly changes the wellbeing of someone with depression. The average person with depression scores a 7.2 on a wellbeing scale with a SD of 1.4 points. The researcher administers the treatment to 25 clients for a month and finds their wellbeing at the end to be 7.7. Assume an alpha level of .05. 

  1. How do we interpret this effect size? 
  2. Would we reject the null hypothesis if the test was nondirectional(two-tailed)? 
  3. Would we reject the null hypothesis if the alpha level was .01 (directional/one-tailed)?
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