To evaluate the effect of a treatment, a sample is obtained from a population with a mean of 20 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be X = 17.7 with a standard deviation of ô = 3. (a) If the sample consists of N = 16 individuals, are the data sufficient to conclude that the treatment decreases scores? (b) If the sample consists of N = 36 individuals, are the data sufficient to conclude that the treatment decreases scores? (c) Comparing your answers for parts (a) and (b), how does the size of the sample influence the size of the obtained Bayes factor?

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To evaluate the effect of a treatment, a sample is obtained from a population with a mean of
20 and the treatment is administered to the individuals in the sample. After treatment, the
sample mean is found to be X = 17.7 with a standard deviation of ô = 3.
(a) If the sample consists of N = 16 individuals, are the data sufficient to conclude that the
treatment decreases scores?
(b) If the sample consists of N = 36 individuals, are the data sufficient to conclude that the
treatment decreases scores?
(c) Comparing your answers for parts (a) and (b), how does the size of the sample influence
the size of the obtained Bayes factor?
Transcribed Image Text:To evaluate the effect of a treatment, a sample is obtained from a population with a mean of 20 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be X = 17.7 with a standard deviation of ô = 3. (a) If the sample consists of N = 16 individuals, are the data sufficient to conclude that the treatment decreases scores? (b) If the sample consists of N = 36 individuals, are the data sufficient to conclude that the treatment decreases scores? (c) Comparing your answers for parts (a) and (b), how does the size of the sample influence the size of the obtained Bayes factor?
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