STATISTICS AND PROBABILITY Classifying samples 3/5 (a) A facilities supervisor at a sports stadium wants to rate the condition of the seats at the stadium. Which of the following best describes a cluster sample of seats? The supervisor forms groups of 8 seats based on the sections the seats are in. Then, she selects all of the seats in 8 randomly chosen groups. All of the seats in the VIP section are easily accessible. So, the supervisor selects the 64 seats in this section. The supervisor uses a computer program to draw 64 seats at random and selects these seats. Every set of 64 seats is equally likely to be drawn by the computer program. (b) A host on a cruise ship wants to collect data on the time passengers spend at various activities on board. Which of the following best describes a systematic sample of passengers? The host takes a list of the passengers and selects every 6 passenger until 60 passengers are selected. O O The host forms 5 groups of passengers based on the levels of the ship that the passengers' cabins are on. Then, he selects 12 passengers at random from each group. O The host forms groups of 12 passengers based on the passengers' ages. Then, he randomly chooses 5 groups and selects all of the passengers in these groups. (c) A city manager wants to poll residents about a park renovation. Which of the following best describes a convenience sample of residents? O The city manager uses a computer program to draw 78 residents at random and selects these residents. Every set of 78 residents is equally likely to be drawn by the computer program. The first 78 residents who walk into city hall one day are easily accessible. So, the city manager selects these residents. O The city manager takes a list of the residents and selects every 3" resident until 78 residents are selected. O X