# Attached are the two assignments that we talked about

MA3110: Module 5 Chi Square and Anova Exercise 5.1 Inferences from Two Samples 1 This exercise has the following two tasks: Task 1: Consider the three samples listed in the table: A B C 1 0 3 3 6 12 5 2 6 5 3 2 Obtain the sample mean and the sample standard deviation of each of the three samples. Obtain total sum of squares (SST,) treatment sum of squares (SSTR,) and error sum of squares (SSE) by using the defining formulas and verify that the one-way ANOVA identity holds. Obtain SST, SSTR, and SSE by using the computing formulas. Construct the one-way ANOVA table. Task 2: Read the case study titled “Losses to Robbery” and answer the corresponding questions: Losses to Robbery: The Federal Bureau of Investigation conducts surveys to obtain information on the value of losses from various types of robberies. The results of the surveys are published in Population-at-Risk Rates and Selected Crime Indicators. Independent simple random samples of reports for three types of robberies—highway, gas station, and convenience store—gave the following data, in dollars, on the value of losses. Highway Gas Station Convenience Store 952 1298 844 996 1195 921 839 1174 880 MA3110: Module 5 Chi Square and Anova Exercise 5.1 Inferences from Two Samples 2 Highway Gas Station Convenience Store 1088 1113 706 1024 953 602 1280 614 What does treatment mean square (MSTR) measure? What does error mean square (MSE) measure? Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions? Submission Requirements: Submit the assignment in a Microsoft Word or Excel document. Show detailed steps and provide appropriate rationale with your answers. Evaluation Criteria: Correctly answered each question Included appropriate steps or rationale to determine the answer to each questionMA3110: Module 5 Chi Square and Anova Exercise 5.2 Chi Square Procedures 1 Read the following information and answer the corresponding questions: The following table contains data of region of birth and political party of the first 44 U.S. presidents. The table uses these abbreviations: F = Federalist, DR = Democratic-Republican, D = Democratic, W = Whig, R = Republican, U = Union, NE = Northeast, MW = Midwest, SO = South, WE = West Region Party Region Party Region Party SO F SO R MW R NE F SO U NE D SO DR MW R MW D SO DR MW R SO R SO DR MW R NE D NE DR NE R SO D SO D NE D WE R NE D MW R MW R SO W NE D SO D SO W MW R MW R SO D NE R NE R SO W MW R SO D MA3110: Module 5 Chi Square and Anova Exercise 5.2 Chi Square Procedures 2 Region Party Region Party Region Party NE W SO D NE R NE D MW R WE D NE D NE R What is the population under consideration? What are the two variables under consideration? Group the bivariate data for the variables “birth region” and “party” into a contingency table. Find the conditional distributions of birth region by party and the marginal distribution of birth region. Find the conditional distributions of party by birth region and the marginal distribution of the party. Does an association exist between the variables “birth region” and “party” for the U.S. presidents? Explain your answer. What percentage of presidents are republicans? If no association existed between birth region and party, what percentage of presidents born in the south would be Republicans? In reality, what percentage of presidents born in the south are Republicans? Submission Requirements: Submit the assignment in a Microsoft Word or Excel document. The answer to each question should be supported with an appropriate rationale or the correct steps. Evaluation Criteria: Correctly answered each question Included appropriate steps or rationale to determine the answer to each question

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