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To test the effectiveness of a treatment, a sample of n = 25 people is selected from a normal population with a mean of µ = 60. After the treatment is administered to the individuals in the sample, the sample mean is found to be M = 55.

a) If the population standard deviation is σ = 10, can you conclude that the treatment has a significant effect? Use a two-tailed with α = .05.

b) If the population standard deviation is σ = 20, can you conclude that the treatment has s significant effect? Use a two-tailed test with α = .05.

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