Random Sampling and Data Collection

AP Statistics· difficulty 1/5

A factory wants to estimate the proportion of defective bolts produced in a day. Bolts come off the assembly line one at a time. The quality engineer randomly selects a starting position between 1 and 50 and then inspects every 50th bolt thereafter throughout the shift.

Bolts on assembly line Random start, then every 50th bolt Filled circles = inspected

Which sampling method is being used?

  • A

    Cluster sample

  • B

    Systematic sample

    check_circle
  • C

    Convenience sample

  • D

    Simple random sample

Explanation

Selecting every kth element after a random start is a systematic sample. It is not an SRS because not all possible groups of bolts have equal probability of being chosen.

Want 10 more like this — adaptive to your weak spots?

Related questions