Respuesta :
Answer:
267 students.
Step-by-step explanation:
Let x be the total number of students who average watching more than 4 hours of TV each day.
We have been given that Timpony School District surveyed a random sample of 60 middle school students about the amount of time they watch TV. Of the students surveyed, 14 average watching more than 4 hours of TV each day.
So the probability of a student watching more than 4 hours of TV each day will be [tex]\frac{14}{60}[/tex]
To find the estimated number of students, who watch the TV more than 4 hours each day, we will use relative probability as it is the ratio of the occurrence of a singular event and the total number of outcomes.
So we can set a proportion as:
[tex]\frac{14}{60}=\frac{x}{1143}[/tex]
Upon dividing both sides of our equation by 1143 we will get,
[tex]\frac{14}{60}*1143=\frac{x}{1143}*1143[/tex]
[tex]0.23333*1143=x[/tex]
[tex]266.69999=x[/tex]
[tex]x=266.69999\approx 267[/tex]
Therefore, approximately 267 students of Timpony School District middle school average watching more than 4 hours of TV each day.
