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A sample of n = 16 individuals is selected from a population with µ = 30....

A sample of n = 16 individuals is selected from a population with µ = 30. After a treatment is administered to the individuals, the sample mean is found to be M = 33. We do not know the population standard deviation.

A. If the sample variance is s2 = 16, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. Provide the standard error, the value of the test statistic, the value(s) of degrees of freedom, the critical region value, the decision regarding the null, and put your final answer in APA format.

B. If the sample variance is s2 = 64, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. Provide the standard error, the value of the test statistic, the value(s) of degrees of freedom, the critical region value, the decision regarding the null, and put your final answer in APA format.

C. Describe how increasing the variance affects the standard error and the likelihood of rejecting the null hypothesis.

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