For each scenario below, identify which sampling method was used. Explain your reasoning. a) A dean decided to assess students' views on the school cafeteria's food. To do so, the dean randomly picked 50 students from each of the four class levels (freshmen, sophomores, juniors, and seniors) to participate in a survey. (5 pts) b) A manufacturing company produces a batch of 100,000 widgets. The intern needs to inspect a sample of 1,000 widgets to check for quality defects. To do this, the intern assigns a unique number to each widget in the batch. They then use a random number generator to select 1,000 numbers between 1 and 100,000. The widgets with the selected numbers are then inspected. (5 pts) c) At an all-school assembly held in the gym, students are divided into four sections based on their class level (freshman, sophomore, junior, senior). Within each section, there are numerous rows for students to sit in. In order to gauge the percentage of students who had a positive experience at the assembly, members of the student government randomly choose 5 rows within the gym and survey every student sitting in those selected rows. (5 pts) d) A manufacturing company produces a batch of 100,000 widgets. The intern needs to inspect a sample of 1,000 widgets to check for quality defects. To do this, the intern randomly generates a number between 1 and 100. They find 34. The intern then inspects every 100th widget from that 34th widget, i.e., they inspect widgets 34, 134, 234, 334, etc. until they've inspected 1,000 widgets. (5 pts)