To evaluate the effect of a treatment, a sample is obtained from a population with a mean of m = 20, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 21.3 with a variance of s2= 9. a. Assuming that the sample consists of n = 16 individuals, use a two-tailed hypothesis test with a = .05 to determine whether the treatment effect is significant and compute both Cohen’s d and r 2 to measure effect size. Are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with a =.05? b. Assuming that the sample consists of n = 36 individuals, repeat the test and compute both measures of effect size. c. Comparing your answers for parts a and b, how does the size of the sample influence the outcome of a hypothesis test and measures of effect size?
To evaluate the effect of a treatment, a sample is obtained from a population with a
the treatment is administered to the individuals in the
sample. After treatment, the sample mean is found to
be M = 21.3 with a variance of s2= 9.
a. Assuming that the sample consists of n = 16
individuals, use a two-tailed hypothesis test with
a = .05 to determine whether the treatment effect
is significant and compute both Cohen’s d and r
2
to measure effect size. Are the data sufficient to
conclude that the treatment has a significant effect
using a two-tailed test with a =.05?
b. Assuming that the sample consists of n = 36 individuals, repeat the test and compute both measures
of effect size.
c. Comparing your answers for parts a and b, how
does the size of the sample influence the outcome
of a hypothesis test and measures of effect size?
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