A random sample of N = 25 is selected from a population with a mean
A random sample of N = 25 is selected from a population with a mean μ= 20.2, and a treatment is administered to each individual. Following treatment, the sample mean is found to be X = 22.6 with a standard deviation of 6.2. Based on the sample data, determine whether we can conclude that the treatment had a meaningful effect on scores.
Respond to questions 1 – 5 to demonstrate your understanding of Bayesian Hypothesis Testing.
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Q1. What are the hypotheses for this study of treatment effectiveness? (Fill in the blank.)
H0: __________
H1: __________
Q2. Calculate the t-score to 3 decimal places. Show your work. (Fill in the blank)
t = ___________
Q3. What is the predictive adequacy of the null model relative to the alternative model? Round your answer to 2 decimal places. (Fill in the blank.)
BF01 = ____________
Q4. What is the predictive adequacy of the alternative model relative to the null model? Round your answer to 2 decimal places. (Fill in the blank.)
BF10 = ___________