a random sample is selected from a normal population with a mean of 50 and a standard deviation

First, we need to calculate the standard error (SE) for each sample size. The formula for SE is

Question

A random sample is selected from a normal population with a mean of μ=50 and a standard deviation of σ=12. After a treatment is administered to the individuals in the sample, the sample mean is found to be M=55. If the sample consists of n=16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α =0.05. If the sample consists of n=36 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α =0.05. Compare your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.

          A random sample is selected from a normal population with a mean of μ=50 and a standard deviation of σ=12. After a treatment is administered to the individuals in the sample, the sample mean is found to be M=55.
If the sample consists of n=16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α =0.05.
If the sample consists of n=36 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α =0.05.
Compare your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.

Added by Phyllis S.

Question

Please give Ace some feedback