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

MATLAB: An Introduction with Applications
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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

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