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.  Imagine we know that a treatment actually does have an effect but the researcher concludes there is no effect. 1a. What error has the researcher made?  1b. Why might a researcher make this error?  1c. What is the probability of this error?  1d. How could we decrease this probability?

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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. Imagine we know that a treatment actually does have an effect but the researcher concludes there is no effect.

1a. What error has the researcher made? 

1b. Why might a researcher make this error? 

1c. What is the probability of this error? 

1d. How could we decrease this probability? 

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