True or False: (2 questions:

True or False: (2 questions: Explanation as to the answer is encouraged)

1) There is a stochastic process with normally distributed responses being monitored by an x-bar control chart with a fixed sample size.  A change to the control limits can decrease both the type I error rate and the Type II error rates for all possible mean shifts

2) At each time point, we receive a response variable with an explanatory variable.  Suppose we monitor both variables with x-bar chart.  At a single time point, both variables are registered as out-of-control on their respective x-bar charts.  An X-bar chart on the risk-adjusted response necessarily raises an alarm at this time point