Respuesta :
The population that this teacher should take a random sample from is from all the students from each grade. Hope this helps you!!!
The language arts teacher should select the group which contains all students in each grade to take a random sample to get the best results for her survey.
We have a situation in which arts teacher wants to know whether the students in the entire school prefer a debate or an speech. In order to do so she draws a random sample from the following groups:
- All teachers in the school
- All boys in each grade
- All students in the speech club
- All students in each grade
We have to find the best group from which she should take a random sample of the above mentioned to get the best results for her survey.
What is the condition for Set A to be a Superset of Set B?
Set A is superset of Set B if Set A contains all the elements of Set B.
In our question, we have four groups in the form of four sets as -
- Set of all teachers in school (say Set T)
- Set of all boys in each grade (say Set B)
- Set of All students in speech club (Say Set C)
- Set of all students in each grade (Say Set S)
Since the art teacher wants to know the opinion of students, therefore Set T is not correct. Set B contains all boys in each grade, but it would exclude the girls in each grade, therefore it is also not correct. Set C consists of all students in speech club, but it would exclude students who are not in any club, therefore incorrect. Set S consist of all Students in each grade, this means that Set S is the superset of Set B and Set C and contains all the students of the school.
Hence, the group that contains all students in each grade should be selected to take a random sample to get the best results for her survey.
To solve more questions like these, visit the link below -
https://brainly.com/question/4093666
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