In the bivariate multilevel analysis of the health outcome data, assess normality of the cluster effects in the third model. For example, one may obtain posterior means of \(\left\{\beta_{j 10}, \beta_{j 11}, \beta_{j 20}, \beta_{j 21}\right\}\), and assess normality using normal quantile plots and omnibus tests, such as the univariate and multivariate Shapiro-Wilk tests available in R. Your analysis should reject univariate normality in the slope effects, and also multivariate normality.