Question

Lincoln high wants to estimate the number of students who drive to school. Answer the following

Answer 1

GIVEN:

We are told that a school wants to estimate the number of students who drive to school.

Required:

To determine which survey would best represent the entire student population..

Step-by-sep solution;

Taking a sample of 11th graders would not correctly represent the entire student population. The result from this survey would at best represent the preference of 11th grade students and not other grades. The same thing applies to a survey of the science club. The science club cannot accurately represent all students (including other clubs).

However, a survey of 25 students from the school would best represent the entire student population since there is a probability of every category of student being represented.

Therefore,

25 students are randomly selected from the school; 4 drive to school.

Part (B):

There are 1750 students at Lincoln High. Use the answer above to estimate the number of students who drive to school.

If the sample of 25 students has 4 students who drive to school, then to estimate the entire population based on this;

`\begin{gathered} Sample\text{ }proportion=(4)/(25) \\ \\ Population\text{ }proportion=(4)/(25)*1750 \\ \\ Population\text{ }proportion=280 \end{gathered}`

Therefore, we now have;

ANSWER:

`\begin{gathered} (a)\text{ 25 students are randomly selected from the school; 4 drive to school.} \\ \\ (b)\text{ }280\text{ }students \end{gathered}`