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Solution: To evaluate the effect of a treatment, a sample of n=9 is obtained from a population with a mean of μ=40, and the treatment is administered

Question: To evaluate the effect of a treatment, a sample of $n=9$ is obtained from a population with a mean of $\mu=40$, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be $M=33$.

If the sample has a standard deviation of $s=9$, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with $\alpha=.05$ ?
If the sample standard deviation is $s=15$, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with $\alpha=.05 ?$
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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Solution: To evaluate the effect of a treatment, a sample of n=9 is obtained from a population with a mean of μ=40, and the treatment is administered

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