Assume that a treatment really does have an effect and that the treatment effect is being evaluated with a hypothesis test.

Assume that a treatment really does have an effect and that the treatment effect is being evaluated with a hypothesis test. If all other factors are held constant, how is the outcome of the hypothesis test influenced by sample size? To answer this question, do the following two tests and compare the results. For both tests, a sample is selected from a normal population distribution with a mean of μ = 60 and a standard deviation of σ = 10. After the treatment is administered to the individuals in the sample, the sample mean is found to be 65. In each case, use a two-tailed test with α = .05.

1. For the first test, assume that the sample consists of n=4 individuals.
2. For these condtest, assume that the sample consists of n=25
3. individuals.
4. Explain how the outcome of the hypothesis test is influenced by the
5. sample size.