Exam 3 Applied

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Industrial Engineering

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Jan 9, 2024

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Avery Rutkowski Exam 3 - Applied (answers in red) Var 1 - Large Central Var 2 - Large fringe Var 3 - Medium Var 4 - Small Var 5 - Micro Var 6 - Non-core (rural) (1) Using StatCrunch and the ‘Urban_Rural Data’ provided on Blackboard, find and report the following summary statistics, representing both measures of center and measures of variation: (i) The mean and median for COVID-19 case rate for all six NCHS classifications. (ii) The standard deviation and range for COVID-19 case rate for all six NCHS classifications. Mean Median Standard deviation Range Var 1 10.189 10.24 1.837 5.96 Var 2 10.529 10.72 2.467 7.89 Var 3 5.171 5.31 0.530 2.75 Var 4 5.134 5.54 0.977 3.75 Var 5 4.521 4.91 1.123 4.05 Var 6 4.108 4.67 1.177 3.89 (2) Using the StatCrunch results obtained in Part (1), state initial/preliminary conclusions that could be made in two to four complete sentences. - We can conclude that the large fringe (var 2) has the highest mean and standard deviation. We can also conclude that non-core (rural) (var 6) has the lowest mean but not the lowest standard deviation, but medium (var 3) has the lowest standard deviation.
(3) Using StatCrunch and the ‘Urban_Rural Data’ provided on Blackboard, create a statistical graph(s) that can be used to compare the COVID-19 case rate for all six NCHS classifications. (i) Provide the statistical graph(s) created (ii) In two to four complete sentences, state initial/preliminary conclusions that could be made. - From this bar graph, we can conclude that the large fringe (var 2) has the largest range of numbers. We can also conclude that the medium (var 3) has the lowest range of numbers and that it contains some outliers. (4) One research question that could be posed using the available data: “Do COVID-19 case rates differ significantly between the six NCHS classifications and, if so, how?” Essentially, we wish to see if urban-rural classification has a significant effect on COVID-19 case rates. (i) What method did you use to answer the research question e.g., One-Sample t-Test for Means? - To answer the research question, I used a one- sample ANOVA test. (ii) Why did you select this particular method to answer the research question? - I used a one-sample ANOVA test because you can compare all of the means while also getting an F-statistic and a P-value. You can compare multiple groups with only one categorical value. (iii) In one to two complete sentences, summarize and interpret the relevant findings of your analysis in the context of the research question i.e., what do the findings suggest about the impact of urban-rural classification on COVID-19 case rates. - H0: N1=N2=N3=N4=N5=N6 - H1: At least two means differ - The calculated P-value is <0.0001. I am using a significance level of 0.05. In this problem, the P-value is less than the significance level so we reject the null hypothesis. There is sufficient evidence to support the claim that at least two means differ from each other and that urban-rural classification has a significant effect on the covid-19 case rates. (iv) Consider and, then, discuss whether the results of your above analysis are or are not applicable currently.
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