To evaluate the effect of a treatment, a sample of n = 6 is obtained from a population with a mean of μ = 80, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 72. 1 a. If the sample variance is s² = 54, are the data suf- ficient to conclude that the treatment has a signifi- cant effect using a two-tailed test with a = .05? b. If the sample variance is s² = 150, are the data suf- ficient to conclude that the treatment has a signifi- cant effect using a two-tailed test with a = .05? c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

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14. To evaluate the effect of a treatment, a sample of n = 6
is obtained from a population with a mean of µ = 80,
and the treatment is administered to the individuals in
the sample. After treatment, the sample mean is found
to be M = 72.
a. If the sample variance is s² = 54, are the data suf-
ficient to conclude that the treatment has a signifi-
cant effect using a two-tailed test with a = = .05?
b. If the sample variance is s² = 150, are the data suf-
ficient to conclude that the treatment has a signifi-
cant effect using a two-tailed test with a = = .05?
c. Comparing your answers for parts a and b, how
does the variability of the scores in the sample
influence the outcome of a hypothesis test?
Transcribed Image Text:14. To evaluate the effect of a treatment, a sample of n = 6 is obtained from a population with a mean of µ = 80, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 72. a. If the sample variance is s² = 54, are the data suf- ficient to conclude that the treatment has a signifi- cant effect using a two-tailed test with a = = .05? b. If the sample variance is s² = 150, are the data suf- ficient to conclude that the treatment has a signifi- cant effect using a two-tailed test with a = = .05? c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?
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