PLZ HELP. Rima wants to learn more about the heights of the students at Spring Valley Middle School. The school teaches students in grades 6 through 8. Each subject is taught by a different teacher, so students change classrooms every period. Students don’t have a class every period, but every student has a homeroom class. Consider five samples from this population, then answer the questions that follow. Sample A: Survey four random students in each of Rima's classes. Sample B: Survey two random students from each homeroom class. Sample C: Survey three random girls from every third-period class. Sample D: Survey every sixth person in the student directory. Sample E: Survey every third person in the band directory. Part A Is sample A a random sample? Why or why not?

PART A: Sample A is not a random sample. In a random sample, all members of the population have an equal chance of being selected. Sample A has students from Rima’s classes, but no students from other classes. Students from the other two grades in the school won’t be represented.

PART B: Sample B is a random sample. Every student, or every member of the population, has a homeroom class. All of them have an equal chance of being selected in the sample.

PART C: Sample C is not a random sample because the sample excludes boys. The sample should include both girls and boys to represent the entire student population.

PART D:  Sample D is a random sample. All students in all grades are featured in the student directory, so all of them have an equal chance of being picked for the sample.

PART E: Sample E is not a random sample because it consists of only the students in the band and excludes all other students from the sample. Because not every student is in the band, this is not a fair representation of the entire student body.

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