Question

1. which of the following would not result in a random sample of students at a school?

a. putting all student names in a hat and drawing 20 names
b. using a random number generator to select 20 student id numbers
c. selecting the first 20 students who arrive at school
d. assigning each student a number and using a computer to randomly select 20 numbers

Explanation:

A random sample requires each student to have an equal chance of being selected. Option A (drawing names from a hat), B (random number generator for IDs), and D (assigning numbers and random selection) all ensure randomness. Option C selects the first 20 students who arrive, which is a convenience sample (students arriving early may have different characteristics, e.g., more punctual or involved in morning activities) and not random as not all students have an equal chance (e.g., late students can't be selected this way).

Answer:

C. Selecting the first 20 students who arrive at school