Population: 550 7th grade students at SCCA
Sample: 75 randomly selected students
Luis wants to know what type of music 7th graders at SCCA like to listen to the most. There are 550 students in the 7th grade. He places each student in a random name generator and randomly selects 75 students. In this situation, what is the population and what is the sample?
(2 points)
_____________ is the population and _____________ is the sample
Responses :
• 550 7th grade students
• All students enrolled at SCCA
• 75 Randomly selected students
• the 475 students who were not chosen
3 answers
It is important to determine if generalizations are valid. We can consider the following two things:
1. Was the sample random? Did all members of the population have an equal chance of being selected?
2. Is the sample size large enough based on the population size?
(3 points)
Valid or Invalid?
The principal at a middle school wants to know the average number of clubs students participate in. She uses a random number generator from 0-500 representing all students. She chooses 100 numbers at random and surveys these students. She concludes that students participate on average in 2 clubs each.
Jorge wants to know how many students in his school are going to the basketball game. Jorge asks 5 of his friends, and all of them say they are going. He concludes that all students will attend the basketball game.
Nick wants to determine the most popular sport in his school of 500 students.
He puts the names of all the students in the box. draws 100 of them, and surveys them all. He determines that soccer is the most popular sport in the school.
1. Was the sample random? Did all members of the population have an equal chance of being selected?
2. Is the sample size large enough based on the population size?
(3 points)
Valid or Invalid?
The principal at a middle school wants to know the average number of clubs students participate in. She uses a random number generator from 0-500 representing all students. She chooses 100 numbers at random and surveys these students. She concludes that students participate on average in 2 clubs each.
Jorge wants to know how many students in his school are going to the basketball game. Jorge asks 5 of his friends, and all of them say they are going. He concludes that all students will attend the basketball game.
Nick wants to determine the most popular sport in his school of 500 students.
He puts the names of all the students in the box. draws 100 of them, and surveys them all. He determines that soccer is the most popular sport in the school.
1. Invalid - The sample was not random since only certain numbers were selected from the random number generator, not all students had an equal chance of being selected. The sample size is adequate.
2. Invalid - The sample size is too small and not random, Jorge only asked 5 of his friends which does not represent the entire school population.
3. Invalid - The sample size is sufficient, but the sample was not random as only 100 drawn names were surveyed. Soccer may not necessarily be the most popular sport in the school.
2. Invalid - The sample size is too small and not random, Jorge only asked 5 of his friends which does not represent the entire school population.
3. Invalid - The sample size is sufficient, but the sample was not random as only 100 drawn names were surveyed. Soccer may not necessarily be the most popular sport in the school.
38 answers