To evaluate the effect of a treatment, a sample was obtained from a population with a mean of 7.2: Sample scores: 6, 4, 5, 6, 10, 6.

(a) Compute a 95% confidence interval for , the population mean for the treatment group.

(b) Compute Cohen's d to estimate the size of the described effect.

(c) Perform a hypothesis test to decide whether the population mean of the treatment group is significantly different from the mean of the general population.

(d) Compute and interpret a Bayes factor for the model (either H0 or H1) with the best predictive adequacy.

(e) Compute and interpret the posterior model probability for the winning model chosen in part (d).