Project Two Summary Report

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Southern New Hampshire University *

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240

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Mathematics

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Jan 9, 2024

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docx

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MAT 243 Project Two Summary Report Joseph Tangen Joseph.Tangen@SNHU.eud Southern New Hampshire University

1. Introduction: Problem Statement We are completed some hypothesis testing to validate the performance of the Warriors compared to other teams in the league in 2013-2015, and we’re comparing them to the Bulls in 1996-1998 where they won three championships in a row to see skill level relative to other teams in the league and that the Warriors score more than 106 points per game on average. The data set being used is hypothesis tests for mean and population proportion to find the requested information. The statistical method that I’ll be using for the analysis for this project is inferential statistics, which is where we draw conclusions from the data that we have. In this case we have population mean and population proportion tests to pull information from and draw conclusions to the hypotheses provided by management and the coach. 2. Introduction: Your Team and the Assigned Team The team I chose was the Warriors, the years that were selected were 2013-2015. The assigned team is the Bulls and the years that were provided were 1996-1998. Table 1. Information on the Teams

Name of Team Years Picked 1. Yours Warriors 2013-2015 2. Assigned Bulls 1996-1998 3. Hypothesis Test for the Population Mean (I) Hypothesis testing for population mean is used to determine if the population mean is the same as the hypothesized mean, assuming the standard deviation is known. If the standard deviation isn’t known, then we would use a t-test to compare observed sample mean to a hypothesized mean. is used to assess the plausibility of an outcome by using sample data. The analysis would provide evidence about the plausibility of the hypothesis, and the hypothesis would be measuring and examining random sample of population being analyzed. There are two tests that can be completed when testing population mean. If σ population standard deviation is known then we use a Z test, if σ population standard deviation is unknown we would use a t test. We’ll have X: be the relative skill in the league, and µ be the average relative skill of the Warriors. The null hypothesis is average relative skill level of the Warriors is over 1340 so it would look like H0: µ=1340. The alternative hypothesis is average relative skill of the Warriors

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