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 a α = .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 a α = .05. Comparing 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
- 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 a α = .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 a α = .05.
- Comparing your answers for parts a and b, explain how the
size of the sample influences the outcome of a hypothesis test.
Given information:
Population mean,
Population standard deviation,
The sample mean, M = 55
The level of significance,
It is required to:
1. determine whether the sample mean is sufficient to conclude that the treatment has a significant effect for a sample of size n = 16 scores.
2. determine whether the sample mean is sufficient to conclude that the treatment has a significant effect for a sample of size n = 36 scores.
3. compare the results of parts 1 and 2 that how the size of the sample is influencing the outcome of a hypothesis test.
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