A sample of n = 4 individuals is selected from a normal population with μ = 70 and σ = 10. A treatment is administered to the individuals in the sample, and after the treatment, the sample mean is found to be M = 75. Part A. On the basis of the sample data, can you conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. Part B. Suppose that the sample consisted of n = 25 individuals and produced a mean of M = 75. Repeat the hypothesis test at the .05 level of significance. Part C. Compare the results from part (a) and part (b). How does the sample size influence the outcome of a hypothesis test? Your answers for parts (A), (B), and (C) respectively are A) N.S. (meaning "Not Significant"); significant; larger n means MORE likely to be significant B) significant; N.S.; larger n means MORE likely to be significant C) N.S.; significant; larger n means LESS likely to be significant D) significant; N.S.; larger n means LESS likely to be significant
A sample of n = 4 individuals is selected from a normal population with μ = 70 and σ = 10. A treatment is administered to the individuals in the sample, and after the treatment, the sample mean is found to be M = 75.
Part A. On the basis of the sample data, can you conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
Part B. Suppose that the sample consisted of n = 25 individuals and produced a mean of M = 75. Repeat the hypothesis test at the .05 level of significance.
Part C. Compare the results from part (a) and part (b). How does the
Your answers for parts (A), (B), and (C) respectively are
A) N.S. (meaning "Not Significant"); significant; larger n means MORE likely to be significant
B) significant; N.S.; larger n means MORE likely to be significant
C) N.S.; significant; larger n means LESS likely to be significant
D) significant; N.S.; larger n means LESS likely to be significant
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