Determine if the statements below are true or false. For each statement, suggest an alternative wording to make it a true statement.
(a) As the degrees of freedom increases, the mean of the chi-square distribution increases
(b) If you found X2 = 10 with df = 5 you would fail to reject H0 at the 5% significance level
(c) When finding the p-value of a chi-square test, we always shade the tail areas in both tails
(d) As the degrees of freedom increases, the variability of the chi-square distribution decreases