Last year over 8000 students took an entrance exam at a certain state university. Raina's score was at the 23" percentile. Miguel's score was at the 17' percentile. (If necessary, consult a list of formulas.) (a) Which of the following must be true about Raina's score? X 5 ? O Raina got about 23% of the questions correct. O Raina's score was in the top half of all scores. O Raina missed 77 questions. O Raina scored lower than about 77% of the students who took the exam. (b) Which of the following must be true about Raina's and Miguel's scores? O Raina answered 6 more questions correctly than Miguel. O Miguel answered 6 more questions correctly than Raina. O Both Raina and Miguel scored above the median. O Both Raina and Miguel scored below the median.(a) A manager at a bus company wants to survey employees about the new uniforms. Which of the following best describes a cluster sample of employees? The manager takes a list of the employees and selects every 4th employee until 80 employees are selected. 0 O The manager forms groups of 20 employees based on the departments the employees are in. Then, she selects all of the employees in 4 randomly chosen groups. 0 The manager asks for volunteers and selects every volunteer until 80 employees are selected. She selects the volunteers because these employees are easily accessible. (b) A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratied sample of workers'? 0 The consultant forms groups of 12 workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses 5 groups and selects all of the workers in these groups. 0 All of the workers on the second oor of the factory building are easily accessible. So, the consultant selects the rst 60 workers from the second floor to arrive at work on a particular day. 0 The consultant forms 5 groups of workers based on the workers' shifts. 111en, he selects 12 workers at random from each group. (c) A city manager wants to poll residents about a park renovation. Which of the following best describes a systematic sample of residents? 0 The city manager forms 2 groups of residents based on the residents' incomes. Then, she selects 25 residents at random from each group. O The city manager takes a list of the residents and selects every 5th resident until 50 residents are selected. 0 The city manager uses a computer program to draw 50 residents at random and selects these residents. Every set of 50 residents is equally likely to be drawn by the computer program