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The curriculum committee at Larchmont High School wants to offer a new elective course next year. They decide to survey Larchmont's 1500 students to determine which course students would prefer. The choices are History of Art, Robotics, and Money and You.
Which of the following survey methods will allow the committee to make a valid conclusion about which course the students at Larchmont prefer?
Choose 1 answer:
A Ask 150 students in science classes which course they would prefer.
B Assign a number to each student, and use a computer program to generate 150 random numbers between 1 and 1500. Ask those students whose numbers are selected.

The curriculum committee at Larchmont High School wants to offer a new elective course next year. They decide to survey Larchmont's 15001500 students to determine which course students would prefer. The choices are History of Art, Robotics, and Money and You.\newlineWhich of the following survey methods will allow the committee to make a valid conclusion about which course the students at Larchmont prefer?\newlineChoose 11 answer:\newline(A) Ask 150150 students in science classes which course they would prefer.\newline(B) Assign a number to each student, and use a computer program to generate 150150 random numbers between 11 and 15001500. Ask those students whose numbers are selected.

Full solution

Q. The curriculum committee at Larchmont High School wants to offer a new elective course next year. They decide to survey Larchmont's 15001500 students to determine which course students would prefer. The choices are History of Art, Robotics, and Money and You.\newlineWhich of the following survey methods will allow the committee to make a valid conclusion about which course the students at Larchmont prefer?\newlineChoose 11 answer:\newline(A) Ask 150150 students in science classes which course they would prefer.\newline(B) Assign a number to each student, and use a computer program to generate 150150 random numbers between 11 and 15001500. Ask those students whose numbers are selected.
  1. Reasoning: Reasoning: To make a valid conclusion, the sample should be representative of the entire population.\newlineCalculation: None needed.
  2. Option A Analysis: Option A Analysis: Asking only students in science classes could introduce bias, as these students might have different preferences compared to the entire student body.\newlineCalculation: None needed.
  3. Option B Analysis: Option B Analysis: Using a computer program to randomly select students ensures each student has an equal chance of being chosen, making the sample more representative of the entire student body.\newlineCalculation: None needed.

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