MAT 243 Project Two Summary Report Template (2)

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Southern New Hampshire University *

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Mathematics

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Feb 20, 2024

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docx

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MAT 243 Project Two Summary Report Courtney McDonald Courtney.McDonald1@snhu.edu Southern New Hampshire University

1. Introduction: Problem Statement I am using historical datasets for the Spurs to analyze performance patterns. I will also be using the Bulls' historical data to compare with the Spurs sets and provide data evidence for possible feedback/conclusion. The timeline that will be used to group and filter the data gathered is for the game and points information for the Spurs games from the years 2013-2015, while the Bulls data is from the years 1996-1998. We conducted two hypothesis tests to find the population mean, or the average relative skill level of the Spurs in this case, and tested it against the hypothesis. We also conducted another test against the hypothesis for population proportion and the difference between the Bulls and Spurs population means. 2. Introduction: Your Team and the Assigned Team Two teams were used to effectively perform the analysis and provide a comparison between datasets. The first team is mine, which is the Spurs and the range of years used was 2013-2015. The second team is an assigned team, the Bulls, and their range of years used was 1996-1998. It is displayed in the below table the teams used as well as the year ranges for each. Table 1. Information on the Teams

Name of Team Years Picked 1. Yours Spurs 2013 - 2015 2. Assigned Bulls 1996- 1998 3. Hypothesis Test for the Population Mean (I) Hypothesis testing uses samples of specified data to evaluate a claim that a population mean has a certain value. In this project, I found the average relative skill level of the Spurs from the years 2013-2014, which was 1685.42. A null and alternative hypothesis was created with this information. The null hypothesis is that the population of the NBA mean is equal to 1685.42, while the alternative hypothesis states that the NBA population mean is not equal to 1685.42. This would be to prove the correlation between the averages of the Spurs and NBA skill level. The test statistic had a value of 168.11 and the p-value was 0.0. Since the p-value is less than the alpha level of 0.05, this is statistically significant and different, therefore rejecting the null hypothesis. A second hypothesis test was then performed to evaluate the proportion of games that the team scored less than 106 points in the years 2013-2015. This was found to be 103.85, which is around the projected good score of 106. When evaluating to see if the NBA population

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