Question

garret is in a band and wants to estimate the number of students from his school who will attend the band’s show this weekend. he decides to ask every student in his math class if they will attend the band’s show this weekend. does garret’s method encourage a representative random sampling of the population? if it does, explain why it does. if it does not, explain why it does not and provide a better way that garret can select his sample to be more representative of the population.

Explanation:

Garret's method (asking every student in his math class) does not encourage a representative random sample. His math class is a convenience sample, not random, as it only includes students in that specific class, which may not reflect the entire school's student population (e.g., different grades, interests, or schedules). A better way: Use a random sampling method like assigning each student in the school a number and using a random number generator to select a sample, or randomly selecting students from different grade levels, classes, or lunch periods to ensure a mix of students with varying characteristics related to attending the band show.

Answer:

Garret’s method does not encourage a representative random sample. A better way is to use a random sampling method (e.g., random number selection from all school students or sampling across different groups like grades/classes).