A tank in the shape of a hemisphere with a radius r = 7 ft is full of water to a depth of 3 ft. Set up the integral that would find the work W required to pump the water out of the spout. Use the location of the origin and the direction of the positive axis as specified in the different parts. hemisphere Note: Use 62.5 lb/ft3 as the weight of water. (A) The origin is at the top of the tank with positive y variables going down. dy
(B) The origin is at the bottom of the tank with positive y-values going up. dy

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.