Question

4 Desiree, Marina, and Raúl each survey random samples of 60 students in their

school about whether they prefer to listen to music while completing homework.
They use the results to infer about what percent of students in the school prefer to
listen to music while completing homework. Based on the results of the three
surveys, what range of inferences is reasonable? Write your answers in the blanks.
Student Who
Gave Survey
Students Who Prefer to Listen to
Music While Completing Homework
48
39
42
Desiree
Marina
Raúl
39
48
From
% to
listen to music while completing homework.
% of the school population prefers to

Answer 1

To calculate the range of inferences, we need to find the minimum and maximum percentages based on the results of the three surveys.

Desiree's survey found that 48 out of 60 students prefer to listen to music while completing homework, which is 80%.

Marina's survey found that 39 out of 60 students prefer to listen to music while completing homework, which is 65%.

Raúl's survey found that 42 out of 60 students prefer to listen to music while completing homework, which is 70%.

To find the minimum percentage, we can take the lowest value of the three surveys, which is 65%. To find the maximum percentage, we can take the highest value of the three surveys, which is 80%. Therefore, a reasonable range of inferences is:

From 65% to 80% of the school population prefers to listen to music while completing homework.