[Solved] A random sample is selected from a normal population. with a mean of μ=40 and a standard deviation of σ=10 After a treatment is administered


Question: A random sample is selected from a normal population. with a mean of \(\mu=40\) and a standard deviation of \(\sigma=10\) After a treatment is administered to the individuals in the sample is found to be M = 42.

  1. How large a sample is necessary for this sample mean to be statistically significant? Assume a two tailed test with \(\alpha=.05\)
  2. If the sample mean were \(M=41\), what sample size is needed to be significant for a two-tailed test with \(\alpha=.05\)

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