6.4. Refer to Example 6.1. (a) Redo the analysis in Example 6.1 after transforming the pairs of observations to ln(BOD) and ln(SS) (b) Construct the 95% Bonferroni simultaneous intervals for the components of the mean vector of transformed variables. (c) Discuss any possible violation of the assumption of a bivariate normal distribution for the difference vectors of transformed observations. Example 6.1 (Checking for a mean difference with paired observations) Municipal wastewater treatment plants are required by law to monitor their discharges into rivers and streams on a regular basis. Concern about the reliability of data from one of these self-monitoring programs led to a study in which samples of effluent were divided and sent to two laboratories for testing. One-half of each sample was sent to the Wisconsin State Laboratory of Hygiene, and one-half was sent to a private commercial laboratory routinely used in the monitoring program. Measurements of biochemical oxygen demand (BOD) and suspended solids (SS) were obtained, for n=11 sample splits, from the two laboratories. The data are displayed in Table 6.1. 6.4. Refer to Example 6.1. (a) Redo the analysis in Example 6.1 after transforming the pairs of observations to ln(BOD) and ln(SS) (b) Construct the 95% Bonferroni simultaneous intervals for the components of the mean vector of transformed variables. (c) Discuss any possible violation of the assumption of a bivariate normal distribution for the difference vectors of transformed observations. Example 6.1 (Checking for a mean difference with paired observations) Municipal wastewater treatment plants are required by law to monitor their discharges into rivers and streams on a regular basis. Concern about the reliability of data from one of these self-monitoring programs led to a study in which samples of effluent were divided and sent to two laboratories for testing. One-half of each sample was sent to the Wisconsin State Laboratory of Hygiene, and one-half was sent to a private commercial laboratory routinely used in the monitoring program. Measurements of biochemical oxygen demand (BOD) and suspended solids (SS) were obtained, for n=11 sample splits, from the two laboratories. The data are displayed in Table 6.1