the president of the student council wants to survey the student population about parking. she decides to…

the president of the student council wants to survey the student population about parking. she decides to take a random sample of 100 of the 1,020 students at the school. which of the following correctly labels the population? 1 - 1020 01 - 1020 001 - 1020 0001 - 1020

the president of the student council wants to survey the student population about parking. she decides to take a random sample of 100 of the 1,020 students at the school. which of the following correctly labels the population? 1 - 1020 01 - 1020 001 - 1020 0001 - 1020

Answer

Answer:

C. 001 - 1020

Explanation:

Step1: Understand population - labeling requirements

When labeling a population for sampling, if the population size is (N = 1020), we need labels that can uniquely identify each member.

Step2: Analyze each option

  • Option A (1 - 1020): Single - digit to four - digit numbers are used. But when using random number generators, it may misinterpret single - digit numbers as different from multi - digit numbers.
  • Option B (01 - 1020): Two - digit to four - digit numbers are used. Still, it may cause issues in some random number generation systems.
  • Option C (001 - 1020): Three - digit to four - digit numbers are used. This ensures all labels have at least three digits, which is standard for proper random sampling when using random number tables or generators.
  • Option D (0001 - 1020): Four - digit numbers are used throughout. While it is consistent in digit length, it is more digits than necessary as three digits (001 - 1020) can already cover the 1020 students.