To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of µ = 40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 35. a) If the estimated population variance (based on the sample data) is s2 = 32, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = 0.05? b) If the estimated population variance (based on the sample data) is s2 = 72, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = 0.05? c) Comparing your answer for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?
To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of µ = 40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 35.
a) If the estimated population variance (based on the sample data) is s2 = 32, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = 0.05?
b) If the estimated population variance (based on the sample data) is s2 = 72, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = 0.05?
c) Comparing your answer for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?
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