V (a) A botanist at a nursery wants to inspect the health of the plants at the nursery. Which of the following best describes a stratified sample of plants? O The botanist forms groups of 20 plants based on the heights of the plants. Then, he randomly chooses 4 groups and selects all of the plants in these groups. O The botanist forms 4 groups of plants based on the ages of the plants (in months). Then, he selects 20 plants at random from each group. The botanist assigns each plant a different number. Using a random number table, he draws 80 of those numbers at random. Then, he selects the plants assigned to the drawn numbers. Every set of 80 plants is equally likely to be drawn using the random number table. (b) Counselors at a college want to poll students about how much time the students spend studying. Which of the following best describes a systematic sample of students? O The counselors take a list of the students and select every 7" student until 56 students are selected. The counselors form 7 groups of students based on the numbers of classes the students are taking. Then, the counselors select 8 students at random from each group. O The students living in a particular dorm building on campus are easily accessible. So, the counselors select the 56 students living in that particular dorm building. (c) The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees? O The organizers form groups of 9 attendees based on the day the attendees registered. Then, the organizers randomly choose 6 groups and select all of the attendees in these groups. O The organizers take a list of the attendees and select every 6" attendee until 54 attendees are selected. O The organizers assign each attendee a different number. Using a random number table, the organizers draw 54 of those numbers at random. Then, the organizers select the attendees assigned to the drawn numbers. Every set of 54 attendees is equally likely to be drawn using the random number table