Under some circumstances a 6-point treatment effect can be very large, and in some circumstances it can be very small. Assume that a sample of n=18 individuals is selected from a population with a mean of μ=70. A treatment is administered to the sample and, after the treatment, the sample mean is found to be M=77. Notice that the treatment appears to have increased scores by an average of 7 points. For all parts below, explain logic, show all formulas, include all steps and plug in the numbers (show all work). Explain the decision to reject or fail (significant or not significant effect). a. If the population standard deviation is σ=28, is the 7-point effect large enough to be statistically significant? Use a two-tailed test with α=.05. Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of the answers. b. If the population standard deviation is σ=6, is the 7-point effect large enough to be statistically significant? Use a two-tailed test with α=.05. Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of the answers. c. Compare and contrast your answers between part a and b above. What can you conclude? PLEASE only USE: Z = x – μ /σ Om= σ/ √n formulas
Under some circumstances a 6-point treatment effect can be very large, and in some circumstances it can be very small. Assume that a sample of n=18 individuals is selected from a population with a mean of μ=70. A treatment is administered to the sample and, after the treatment, the sample mean is found to be M=77. Notice that the treatment appears to have increased scores by an average of 7 points. For all parts below, explain logic, show all formulas, include all steps and plug in the numbers (show all work). Explain the decision to reject or fail (significant or not significant effect).
a. If the population standard deviation is σ=28, is the 7-point effect large enough to be statistically significant? Use a two-tailed test with α=.05. Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of the answers.
b. If the population standard deviation is σ=6, is the 7-point effect large enough to be statistically significant? Use a two-tailed test with α=.05. Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of the answers.
c. Compare and contrast your answers between part a and b above. What can you conclude?
PLEASE only USE:
Z = x – μ /σ
Om= σ/ √n
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