Project part-2 (3)

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Yale University *

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Statistics

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Nov 24, 2024

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Statistical Applications Final Project Part 2 Name: Part 2: Summary Statistics & Statistical Analysis Summary Statistics of the Independent Variable ( x ) . 1. Data selection methodology In statistics, how the sample is obtained for data analysis is important. Explain how you obtained or selected your data. Did you choose all the data because it is comprehensive of your data sets (example: all 50 states)? Did you to delete some values because it was missing? Was your data selected because it meets the criteria? What is your sample size? 2. Independent Variable ( x ¿ a. Identify the Independent Variable ( x ): Write the name that you used to label the independent variable in Excel : b. Describe and explain the independent variable in a complete sentence with units and years if applicable. Use the wording from the data source.

3. Measures of Center of the Independent Variable ( 𝑥) a. You may paste the summary statics table from Excel below for the independent variable . Adjust the font size if necessary. ~ optional ~ b. Determine the mean, median, and midrange of the independent variable. Include units. Carry one more decimal place than is present in the original set of values. {Chapter 3} Mean: Median: Midrange: 4. Measures of Variation of the Independent Variable ( x ¿ a. Determine the range, standard deviation, and variance of the independent variable. Include units. Carry one more decimal place than is present in the original set of values. {Chapter 4} Range: Standard Deviation: Variance: 5. Measures of Relative Standing of the Independent Variable ( x ) a. Identify the measures of the independent variable. Include units . Min: Median: Maximum: b. Determine the data point that has the minimum and maximum values in your independent variables column.

With Minimum Value: With Maximum Value: 6. Analysis Describe the independent variable in a short paragraph based on your analysis of the data. Summary Statistics of the Dependent Variable (y) 1. Dependent (response) Variable (y) a. Identify the dependent variable (y): Write the name that you used to label the dependent variable. Include units. b. Describe and explain the dependent variable in a complete sentence with units and years if applicable. Use the wording from the data source (website). 2. Measures of Center of the Dependent Variable ( y ¿

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a. You may paste the summary statics table below for the dependent variable . Adjust the font size if necessary. ~ optional ~ b. Determine the mean, median, and midrange of the dependent variable. Include units. Carry one more decimal place than is present in the original set of values. {Chapter 3} Mean: Median: Midrange: 3. Measures of Variation of the Dependent Variable ( ^ y ¿ a. Determine the range, standard deviation, and variance of the dependent variable. Include units. Carry one more decimal place than is present in the original set of values. {Chapter 4} Range: Standard Deviation: Variance: 4. Measures of Relative Standing of the Dependent Variable (y ) a. Identify each value below. Include units. Minimum Median: Maximum: b. Determine the data point that has the minimum and maximum values in your dependent variables column.

With Minimum Value: With Maximum Value: c. Separate the data for your dependent variable into two groups based on a designation of your independent variable – For example, Group one can be for any 15 values that correspond to the lower levels of the independent variable and Group two can be for the other 15 values that correspond to the higher levels of the independent variable. {Chapter 4} Group One Group Two N = N = M = M = 5. Analysis a. Describe the dependent variable in a short paragraph (at least three sentences) based on your analysis of the data. SS = SS =

Hypothesis Testing 1. Hypothesis Test Test the claim that there is a significant difference for your independent ( x ) variable between the two groups of the dependent ( y ) variable. a. State the null and alternative hypothesis. {Chapter 8} b. Find the pooled variance for the two groups. {Chapter 10} c. Compute the standard error of the difference between the means of the two groups. {Chapter 10} d. Hypothesis Test Based on the t-Test using a α = 0.01 significance level.

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e. Write a statement stating whether there is significant difference between the two groups as related to the independent and the dependent variables. f. Write 2 or more paragraphs stating your conclusions, observations, analysis, and evaluation.