A researcher has a new treatment for anxiety. The researcher knows that anxiety scores are normally distributed with µ= 70 and σ= 15. The researcher administers their new treatment to a sample of individuals and subsequently measures anxiety levels. If the sample size was n = 30 and M = 63 after treatment, can the researcher conclude the new treatment has an effect? Justify your response. If the sample size was n = 120 and M = 60 after treatment, can the researcher conclude the new treatment has an effect? Justify your response.

MATLAB: An Introduction with Applications
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A researcher has a new treatment for anxiety. The researcher knows that anxiety scores are normally distributed with µ= 70 and σ= 15. The researcher administers their new treatment to a sample of individuals and subsequently measures anxiety levels.

      1. If the sample size was n = 30 and M = 63 after treatment, can the researcher conclude the new treatment has an effect? Justify your response.
      2. If the sample size was n = 120 and M = 60 after treatment, can the researcher conclude the new treatment has an effect? Justify your response.  
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