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The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available.
Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees?
Choose 1 answer:
(A) Sort a list of the students into a random order, then ask the first 35 students on the list.
(B) Ask the first 35 students in line for the cafeteria.

The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available. $\newline$ Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees? $\newline$ Choose $1$ answer: $\newline$ (A) Sort a list of the students into a random order, then ask the first $35$ students on the list. $\newline$ (B) Ask the first $35$ students in line for the cafeteria.

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Experimental probability

Full solution

Q. The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available.

\newline

Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees?

\newline

Choose

1

answer:

\newline

(A) Sort a list of the students into a random order, then ask the first

35

students on the list.

\newline

(B) Ask the first

35

students in line for the cafeteria.

Randomize and Select Students: Analyze Option (A) - Sort a list of the students into a random order, then ask the first $35$ students on the list. $\newline$ Reasoning: Randomly sorting the list of students and selecting the first $35$ ensures that every student has an equal chance of being selected, regardless of their usual lunchtime behavior or preferences. $\newline$ Calculation: This method uses random sampling, which is a valid statistical method for making inferences about a larger group.
Select Students in Line: Analyze Option (B) - Ask the first $35$ students in line for the cafeteria. $\newline$ Reasoning: This method might introduce bias, as the first students in line might not represent the entire student body. Students who arrive early might have different preferences compared to those who come later. $\newline$ Calculation: This method does not use random sampling and could lead to biased results.

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