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MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Prof ...
MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Professors often will clarify their expectations regarding the format and presentation of your submission. The Range Rule of Thumb is based on the insight that the range is often approximately 4 times as large as the standard deviation. This insight enables you to quickly estimate the standard deviation of a data set by finding the maximum and minimum data values, using them to compute the range, and then dividing this value by 4. Each of the following 5 data sets has a mean close to 100, and a standard deviation in the 20s. Assume that each of these are sample data sets. For each of the 5 data sets given below, use the Excel function “=stdev.s” (or technology) to find the actual sample standard deviation (10 points), compute the estimate given by the Range Rule of Thumb (RROT) Estimate (10 points), and compute the percentage error of the estimate (10 points). The formula for the RROT estimate is RROT estimate = Range/4 (where the range = maximum value – minimum value), on the assumption that the Standard Deviation » RROT estimate. The formula used to find the percentage error of the estimate is: Summarize what you learned: % Error = | RROT Estimate – Standard deviation | / Standard Deviation × 100 = ____ % . Data Set 1: No outliersData Set 2: 1 outlierData Set 3: 2 outliersData Set 4: Normal (Bell-Shaped) DistributionData Set 5: Uniform Distribution (evenly-spaced values) 68 68 68 68 68 133 133 133 133 133 Actual Standard deviation = RROT Estimate = % Error = 68 81 81 81 81 82 82 82 82 160 Actual Standard deviation = RROT Estimate = % Error = 38 86 88 89 90 90 91 92 104 152 Actual Standard deviation = RROT Estimate = % Error = 51 67 74 81 87 93 99 106 115 128 Actual Standard deviation = RROT Estimate = % Error = 65 73 81 89 97 105 113 121 129 137 Actual Standard deviation = RROT Estimate = % Error = a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation? (3 points) b) What is the largest percentage error? (3 points) c) Each of the data sets given above is artificially contrived. If you were to apply the RROT estimate to a typical real-world data set, about how accurate would you expect it to be (your answer here should be a numerical estimate of the percentage error, based on your previous results)? (4 points)
How to divide polynomials
Simplify the expression.a. b. c. d. 6ab - 15ab^3Simplify the expression.a. b.  ...
How to divide polynomials
Simplify the expression.a. b. c. d. 6ab - 15ab^3Simplify the expression.a. b. c. d. Simplify the expression. a. b. c. d. Which of the following shows how you would correctly set up the following problem to divide using synthetic division. a. b. c. d. Which of the following shows the solution when the following synthetic division model is set up?a. b. c. d. Simplify the expression a. b. x-3c. d. Simplify the expression a. 3t2 -2t +3b. c. d. Simplify the expression.a. b. c. d. Divde.a. b. c. d. Divde.a. b. c. d.
12 pages
20180421134254mthh040059 51 Hassan Omar
Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is
20180421134254mthh040059 51 Hassan Omar
Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is
6 pages
Recommender System.edited
The system highlighted below uses metadata to suggest movies for a user based on their history of rating movies. To build ...
Recommender System.edited
The system highlighted below uses metadata to suggest movies for a user based on their history of rating movies. To build this system we will answer ...
MAT 240 Southern New Hampshire University Median Housing Price Prediction Paper
CompetencyIn this project, you will demonstrate your mastery of the following competency:Apply statistical techniques to a ...
MAT 240 Southern New Hampshire University Median Housing Price Prediction Paper
CompetencyIn this project, you will demonstrate your mastery of the following competency:Apply statistical techniques to address research problemsPerform hypothesis testing to address an authentic problemOverviewIn this project, you will apply inference methods for means to test your hypotheses about the housing sales market for a region of the United States. You will use appropriate sampling and statistical methods.ScenarioYou have been hired by your regional real estate company to determine if your region’s housing prices and housing square footage are significantly different from those of the national market. The regional sales director has three questions that they want to see addressed in the report:Are housing prices in your regional market higher than the national market average?Is the square footage for homes in your region different than the average square footage for homes in the national market?For your region, what is the range of values for the 95% confidence interval of square footage for homes in your market?You are given a real estate data set that has houses listed for every county in the United States. In addition, you have been given national statistics and graphs that show the national averages for housing prices and square footage. Your job is to analyze the data, complete the statistical analyses, and provide a report to the regional sales director. You will do so by completing the Project Two Template located in the What to Submit area below.DirectionsIntroductionPurpose: What was the purpose of your analysis, and what is your approach?Define a random sample and two hypotheses (means) to analyze.Sample: Define your sample. Take a random sample of 100 observations for your region.Describe what is included in your sample (i.e., states, region, years or months).Questions and type of test: For your selected sample, define two hypothesis questions and the appropriate type of test hypothesis for each. Address the following for each hypothesis:Describe the population parameter for the variable you are analyzing.Describe your hypothesis in your own words.Describe the inference test you will use.Identify the test statistic.Level of confidence: Discuss how you will use estimation and conference intervals to help you solve the problem.1-Tailed TestHypothesis: Define your hypothesis.Define the population parameter.Write null (Ho) and alternative (Ha) hypotheses.Specify your significance level.Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.Summarize your sample data using appropriate graphical displays and summary statistics.Provide at least one histogram of your sample data.In a table, provide summary statistics including sample size, mean, median, and standard deviation.Summarize your sample data, describing the center, spread, and shape in comparison to the national information.Check the conditions.Determine if the normal condition has been met.Determine if there are any other conditions that you should check and whether they have been met.Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.Calculate the hypothesis statistics.Determine the appropriate test statistic (t).Calculate the probability (p value).Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.Relate the p value and significance level.Make the correct decision (reject or fail to reject).Provide a conclusion in the context of your hypothesis.2-Tailed TestHypotheses: Define your hypothesis.Define the population parameter.Write null and alternative hypotheses.State your significance level.Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.Summarize your sample data using appropriate graphical displays and summary statistics.Provide at least one histogram of your sample data.In a table, provide summary statistics including sample size, mean, median, and standard deviation.Summarize your sample data, describing the center, spread, and shape in comparison to the national information.Check the assumptions.Determine if the normal condition has been met.Determine if there are any other conditions that should be checked on and whether they have been met.Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.Calculate the hypothesis statistics.Determine the appropriate test statistic (t).Determine the probability (p value).Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.Relate the p value and significance level.Make the correct decision (reject or fail to reject).Provide a conclusion in the context of your hypothesis.Comparison of the test results: See Question 3 from the Scenario section.Calculate a 95% confidence interval. Show or describe your method of calculation.Interpret a 95% confidence interval.Final ConclusionsSummarize your findings: Refer back to the Introduction section above and summarize your findings of the sample you selected.Discuss: Discuss whether you were surprised by the findings. Why or why not?What to SubmitTo complete this project, you must submit the following:Project Two Template: Use this template to structure your report, and submit the finished version as a Word document.Supporting MaterialsThe following resources may help support your work on the project:Data Set: House Listing Price by RegionUse this data for input in your project report.Document: National Statistics and GraphsUse this data for input in your project report.Use these tutorials for support with the Excel functions you will use in the project:Tutorial: Random Sampling in ExcelTutorial: Scatterplots in ExcelTutorial: Descriptive Statistics in ExcelTutorial: Creating Histograms in Excel
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MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Prof ...
MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Professors often will clarify their expectations regarding the format and presentation of your submission. The Range Rule of Thumb is based on the insight that the range is often approximately 4 times as large as the standard deviation. This insight enables you to quickly estimate the standard deviation of a data set by finding the maximum and minimum data values, using them to compute the range, and then dividing this value by 4. Each of the following 5 data sets has a mean close to 100, and a standard deviation in the 20s. Assume that each of these are sample data sets. For each of the 5 data sets given below, use the Excel function “=stdev.s” (or technology) to find the actual sample standard deviation (10 points), compute the estimate given by the Range Rule of Thumb (RROT) Estimate (10 points), and compute the percentage error of the estimate (10 points). The formula for the RROT estimate is RROT estimate = Range/4 (where the range = maximum value – minimum value), on the assumption that the Standard Deviation » RROT estimate. The formula used to find the percentage error of the estimate is: Summarize what you learned: % Error = | RROT Estimate – Standard deviation | / Standard Deviation × 100 = ____ % . Data Set 1: No outliersData Set 2: 1 outlierData Set 3: 2 outliersData Set 4: Normal (Bell-Shaped) DistributionData Set 5: Uniform Distribution (evenly-spaced values) 68 68 68 68 68 133 133 133 133 133 Actual Standard deviation = RROT Estimate = % Error = 68 81 81 81 81 82 82 82 82 160 Actual Standard deviation = RROT Estimate = % Error = 38 86 88 89 90 90 91 92 104 152 Actual Standard deviation = RROT Estimate = % Error = 51 67 74 81 87 93 99 106 115 128 Actual Standard deviation = RROT Estimate = % Error = 65 73 81 89 97 105 113 121 129 137 Actual Standard deviation = RROT Estimate = % Error = a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation? (3 points) b) What is the largest percentage error? (3 points) c) Each of the data sets given above is artificially contrived. If you were to apply the RROT estimate to a typical real-world data set, about how accurate would you expect it to be (your answer here should be a numerical estimate of the percentage error, based on your previous results)? (4 points)
How to divide polynomials
Simplify the expression.a. b. c. d. 6ab - 15ab^3Simplify the expression.a. b.  ...
How to divide polynomials
Simplify the expression.a. b. c. d. 6ab - 15ab^3Simplify the expression.a. b. c. d. Simplify the expression. a. b. c. d. Which of the following shows how you would correctly set up the following problem to divide using synthetic division. a. b. c. d. Which of the following shows the solution when the following synthetic division model is set up?a. b. c. d. Simplify the expression a. b. x-3c. d. Simplify the expression a. 3t2 -2t +3b. c. d. Simplify the expression.a. b. c. d. Divde.a. b. c. d. Divde.a. b. c. d.
12 pages
20180421134254mthh040059 51 Hassan Omar
Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is
20180421134254mthh040059 51 Hassan Omar
Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is
6 pages
Recommender System.edited
The system highlighted below uses metadata to suggest movies for a user based on their history of rating movies. To build ...
Recommender System.edited
The system highlighted below uses metadata to suggest movies for a user based on their history of rating movies. To build this system we will answer ...
MAT 240 Southern New Hampshire University Median Housing Price Prediction Paper
CompetencyIn this project, you will demonstrate your mastery of the following competency:Apply statistical techniques to a ...
MAT 240 Southern New Hampshire University Median Housing Price Prediction Paper
CompetencyIn this project, you will demonstrate your mastery of the following competency:Apply statistical techniques to address research problemsPerform hypothesis testing to address an authentic problemOverviewIn this project, you will apply inference methods for means to test your hypotheses about the housing sales market for a region of the United States. You will use appropriate sampling and statistical methods.ScenarioYou have been hired by your regional real estate company to determine if your region’s housing prices and housing square footage are significantly different from those of the national market. The regional sales director has three questions that they want to see addressed in the report:Are housing prices in your regional market higher than the national market average?Is the square footage for homes in your region different than the average square footage for homes in the national market?For your region, what is the range of values for the 95% confidence interval of square footage for homes in your market?You are given a real estate data set that has houses listed for every county in the United States. In addition, you have been given national statistics and graphs that show the national averages for housing prices and square footage. Your job is to analyze the data, complete the statistical analyses, and provide a report to the regional sales director. You will do so by completing the Project Two Template located in the What to Submit area below.DirectionsIntroductionPurpose: What was the purpose of your analysis, and what is your approach?Define a random sample and two hypotheses (means) to analyze.Sample: Define your sample. Take a random sample of 100 observations for your region.Describe what is included in your sample (i.e., states, region, years or months).Questions and type of test: For your selected sample, define two hypothesis questions and the appropriate type of test hypothesis for each. Address the following for each hypothesis:Describe the population parameter for the variable you are analyzing.Describe your hypothesis in your own words.Describe the inference test you will use.Identify the test statistic.Level of confidence: Discuss how you will use estimation and conference intervals to help you solve the problem.1-Tailed TestHypothesis: Define your hypothesis.Define the population parameter.Write null (Ho) and alternative (Ha) hypotheses.Specify your significance level.Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.Summarize your sample data using appropriate graphical displays and summary statistics.Provide at least one histogram of your sample data.In a table, provide summary statistics including sample size, mean, median, and standard deviation.Summarize your sample data, describing the center, spread, and shape in comparison to the national information.Check the conditions.Determine if the normal condition has been met.Determine if there are any other conditions that you should check and whether they have been met.Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.Calculate the hypothesis statistics.Determine the appropriate test statistic (t).Calculate the probability (p value).Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.Relate the p value and significance level.Make the correct decision (reject or fail to reject).Provide a conclusion in the context of your hypothesis.2-Tailed TestHypotheses: Define your hypothesis.Define the population parameter.Write null and alternative hypotheses.State your significance level.Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.Summarize your sample data using appropriate graphical displays and summary statistics.Provide at least one histogram of your sample data.In a table, provide summary statistics including sample size, mean, median, and standard deviation.Summarize your sample data, describing the center, spread, and shape in comparison to the national information.Check the assumptions.Determine if the normal condition has been met.Determine if there are any other conditions that should be checked on and whether they have been met.Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.Calculate the hypothesis statistics.Determine the appropriate test statistic (t).Determine the probability (p value).Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.Relate the p value and significance level.Make the correct decision (reject or fail to reject).Provide a conclusion in the context of your hypothesis.Comparison of the test results: See Question 3 from the Scenario section.Calculate a 95% confidence interval. Show or describe your method of calculation.Interpret a 95% confidence interval.Final ConclusionsSummarize your findings: Refer back to the Introduction section above and summarize your findings of the sample you selected.Discuss: Discuss whether you were surprised by the findings. Why or why not?What to SubmitTo complete this project, you must submit the following:Project Two Template: Use this template to structure your report, and submit the finished version as a Word document.Supporting MaterialsThe following resources may help support your work on the project:Data Set: House Listing Price by RegionUse this data for input in your project report.Document: National Statistics and GraphsUse this data for input in your project report.Use these tutorials for support with the Excel functions you will use in the project:Tutorial: Random Sampling in ExcelTutorial: Scatterplots in ExcelTutorial: Descriptive Statistics in ExcelTutorial: Creating Histograms in Excel
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