MAT 240 1-1 Discussion

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Southern New Hampshire University *

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240

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Mathematics

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Apr 3, 2024

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docx

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Uploaded by lyssabeth711

MAT 240: Applied Statistics 1-1 Discussion: Population, Samples, and Bias 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. 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, systematic, cluster, stratified, or convenience. Hi everyone, My name is Alyssa and I live just north of Boston in a small town called Danvers, with my fiancé, 9-year-old daughter, 3 month old son, 3 cats, and 1 French bulldog. Yes, we have a full house! I am studying marketing with a concentration in digital marketing at SNHU and am excited to learn alongside you this semester. A time when I have used data recently was a big yard sale my parents and I had this past weekend. Yard sales are a lot more work than you think, and there was lots of data to be analyzed. Specifically, once the yard sale was over, we had to analyze what we sold, what we had left, and how much of a profit we made. My dad and fiancé are big on numbers, so of course we had to analyze the data to see what we made per hour and how lucrative the profits were. Another time I have used data, in a professional setting, was when I was the assistant manager at a restaurant. I used to be in charge of running reports, analyzing the data, and putting it into an email format for my bosses to read. Specifically, inventory sticks out to me as a function I had to complete in my job, that included a lot of data. Inventory, as you may know, is taking count of all the liquor in a restaurant once a month. We would have to take count of everything in the restaurant, compare it to the previous month’s data, and analyze how much we needed to order and what was popular and selling the most at the time. Susan is looking to host a movie night that maximizes the number of students who attend. With the data that she collected; she should be able to select a movie title that is popular amongst the majority of her students. When selecting

the movie title, Susan must look at all the data she has collected. Susan should avoid looking at data that is specific to the population, to select the movie title. An example of this would be if Susan picked the movie title based on only the data collected by one grade, such as the 9 th grade only. Susan should also avoid looking at data that is specific to gender as well. Susan must look at all the data from the population and not limit it to only a specific type of student, in order to make her decision. Susan should avoid non-random sampling, sampling from only specific subgroups, and should avoid including or excluding any data from the population when making her decision. A sample of the population that would provide Susan with a movie title that would be liked by the majority of the students would be by using the quantitative data that resulted from Susan’s survey. By taking all of the data and counting up how many votes each movie title received, Susan will be able to determine what movie title is best appropriate for her to show at her movie event in order to get the most students to show. Another way that Susan could decide on the best movie title to show, would be by using random sampling. By using random sampling, Susan would randomly select individuals from the population to ensure that every member has an equal chance of being included in the sample. This would help Susan to minimize bias and increases the likelihood of obtaining a sample that reflects the population's diversity. A sample is a subset of a population that is selected for the purpose of studying and drawing conclusions of the entire population. My first sample would be categorized as convenience sampling, as it is nonrandom and may provide bias data. My second sample is random sampling, as it involves selecting a sample that gives everyone included in the population an equal chance at being selected.

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