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A sample of n=25 individuals is randomly selected from population with a mean of µ =65, and a treatment is administered to the individuals in the sample. After treatment the sample mean is found to be M=70.
a) If the sample standard deviation is s =10, are the data sufficient to conclude that the treatment has a significant effect using a two-tail test with α =0.05?
b) If the sample standard deviation is s=20, are the data sufficient to conclude that the treatment has a significant effect using a two-tail test with α =0.05?
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67, 54, 78, 95, 56, 78, 44, 78, 76, 87
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