Sampling Methods for Susan.
ANSWER
Samples That Wouldn’t Accurately Reflect the Population:
Samples That Wouldn’t Accurately Reflect the Population:
Susan, you could choose students from a single classroom or grade level if you want to take a sample that is not really representative of the population. Choosing pupils solely from 12th-grade courses or a single classroom would result in an unrepresentative and non-diverse sample. Because it ignores the variation in preferences across grades and classrooms, this sample would be biased.
Selections That Would Accurately Reflect the Population:
One way to make sure your sample accurately reflects the whole student body is to combine stratified and random sampling techniques:
a. Stratified Sampling: Given that you stated variations in movie choices by grade and gender, stratify the pupils according to their grade levels and maybe gender. For example, you can create strata for boys and girls in the ninth grade, girls and boys in the tenth grade, and so on. You’ll have representative samples from every subgroup in this manner.
a. Random Sampling: Choose a proportionate number of pupils at random from each stratum. By doing this, you may be confident that you are not favoring any certain group within a grade or gender.
You’ll get a sample that takes into consideration the differences in preferences across various student demographics by employing this combination strategy.
Classification of Samples and Their Relation to the Population:
A sample is a portion of a larger population that has been chosen so that conclusions about the population as a whole can be drawn. The sampling technique you use will determine the caliber of your sample and its capacity to reflect the population. Regarding you:
Selected from a single grade or classroom, the sample would not accurately reflect the population. It can be categorized as a “convenience sample” because it is handy but may not be representative.
It is possible to classify the sample that would accurately represent the population (using stratified and random sampling) as a “stratified random sample” since it takes into account the various strata within the population and selects individuals within those strata using randomness. This method guarantees a more true representation of the range of movie tastes within the community.
With this advice, I hope you can choose the best choice possible for the movie night, maximize attendance, and accommodate the wide range of tastes of our high school students.
Because it ignores the variation in preferences across grades and classrooms, this sample would be biased.
Selections That Would Accurately Reflect the Population:
One way to make sure your sample accurately reflects the whole student body is to combine stratified and random sampling techniques:
a. Stratified Sampling: Given that you stated variations in movie choices by grade and gender, stratify the pupils according to their grade levels and maybe gender. For example, you can create strata for boys and girls in the ninth grade, girls and boys in the tenth grade, and so on. You’ll have representative samples from every subgroup in this manner.
a. Random Sampling: Choose a proportionate number of pupils at random from each stratum. By doing this, you may be confident that you are not favoring any certain group within a grade or gender.
You’ll get a sample that takes into consideration the differences in preferences across various student demographics by employing this combination strategy.
Classification of Samples and Their Relation to the Population:
A sample is a portion of a larger population that has been chosen so that conclusions about the population as a whole can be drawn. The sampling technique you use will determine the caliber of your sample and its capacity to reflect the population. Regarding you:
Selected from a single grade or classroom, the sample would not accurately reflect the population. It can be categorized as a “convenience sample” because it is handy but may not be representative.
It is possible to classify the sample that would accurately represent the population (using stratified and random sampling) as a “stratified random sample” since it takes into account the various strata within the population and selects individuals within those strata using randomness. This method guarantees a more true representation of the range of movie tastes within the community.
With this advice, I hope you can choose the best choice possible for the movie night, maximize attendance, and accommodate the wide range of tastes of our high school students.
QUESTION
Description
In real-life applications, statistics helps us analyze data to extract information about a population. In this module discussion, you will take on the role of Susan, a high school principal. She is planning on having a large movie night for the high school. She has received a lot of feedback on which movie to show and sees differences in movie preferences by gender and also by grade level.
She knows if the wrong movie is shown, it could reduce event turnout by 50%. She would like to maximize the number of students who attend and would like to select a PG-rated movie based on the overall student population’s movie preferences. Each student is assigned a classroom with other students in their grade. She has a spreadsheet that lists the names of each student, their classroom, and their grade. Susan knows a simple random sample would provide a good representation of the population of students at their high school, but wonders if a different method would be better.
You can review the student demographics here: Module One Discussion Data PDF.
In your initial discussion post, specifically address the following:
Introduce yourself and describe a time when you used data in a personal or professional decision. This could be anything from analyzing sales data on the job to making an informed purchasing decision about a home or car.
Describe to Susan how to take a sample of the student population that would not represent the population well.
Describe to Susan how to take a sample of the student population that would represent the population well.
- Finally, describe the relationship of a sample to a population and classify your two samples as random, cluster, stratified, or convenience.
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