Assignment Content Competency Determine the linear correlation and regression eq

Assignment Content
Competency
Determine the linear correlation and regression equation between two variables to make predictions for the dependent variable.
Student Success Criteria
View the grading rubric for this deliverable by selecting the “This item is graded with a rubric” link, which is located in the Details & Information pane.
Scenario
According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform California Earthquake Rupture Forecast (UCERF).
As a junior analyst at the USGS, you are tasked to determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables will be a PowerPoint presentation you will create summarizing your findings and an excel document to show your work.
Concepts Being Studied
Correlation and regression
Creating scatterplots
Constructing and interpreting a Hypothesis Test for Correlation using r as the test statistic
You are given a spreadsheet that contains the following information:
Magnitude measured on the Richter scale
Depth in km
Deliverable 6 – Analysis with Correlation and Regression.xlsx
Using the spreadsheet, you will answer the problems below in a PowerPoint presentation.
What to Submit
The PowerPoint presentation should answer and explain the following questions based on the spreadsheet provided above.
Slide 1: Title slide
Slide 2: Introduce your scenario and data set including the variables provided.
Slide 3: Construct a scatterplot of the two variables provided in the spreadsheet. Include a description of what you see in the scatterplot.
Slide 4: Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values.
Slide 5: Determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and the depths from the earthquakes. Explain.
Slide 6: Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation.
Slide 7: Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units.
Slide 8: Conclude by recapping your ideas by summarizing the information presented in context of the scenario.
Along with your PowerPoint presentation, you should include your Excel document which shows all calculations.

Assignment Content Competencies Describe the data using the measures of central

Assignment Content
Competencies
Describe the data using the measures of central tendency and measures of variability.
Apply the normal distribution, standard normal distribution, and central limit theorem.
Develop a confidence interval for a population parameter.
Evaluate hypothesis tests for population parameters from one population.
Evaluate hypothesis tests for population parameters from two populations.
Determine the linear correlation and regression equation between two variables to make predictions for the dependent variable.
Student Success Criteria
View the grading rubric for this deliverable by selecting the “This item is graded with a rubric” link, which is located in the Details & Information pane.
Instructions
You are currently working at NCLEX Memorial Hospital in the Infectious Diseases Unit. Over the past few days, you have noticed an increase in patients admitted with a particular infectious disease. You believe that the ages of these patients play a critical role in the method used to treat the patients. You decide to speak to your manager, and together you work to use statistical analysis to look more closely at the ages of these patients.
You do some research and put together a spreadsheet of the data that contains the following information
Client number
Infection disease status
Age of the patient
Deliverable 7 – Statistical Analysis Report.xlsx
You are to put together a PowerPoint presentation that explains the analysis of your findings which you will submit to your manager. The presentation should contain all components of your findings. For review, the components of the report should include:
Brief overview of the scenario and variables in the data set
Discussion, calculation, and interpretation of the mean, median, mode, range, standard deviation, and variance
Discussion, construction, and interpretation of the 95% confidence interval
Explanation of the full hypothesis test
Conclusion
The calculations should be performed in your spreadsheet that you will also submit to your manager. You can find additional information on what to add to your PowerPoint presentation in this Word document. 
Deliverable 7 – PowerPoint Instructions.docx
Use the questions in the worksheet as your guide for the contents of your presentation.
For your final deliverable, submit your PowerPoint presentation and the Excel workbook showing your work. Do not submit your Word document.

Examine the assumptions and limitations presented in these topics and then consi

Examine the assumptions and limitations presented in these topics and then consider and discuss the following questions:
When comparing data from different distributions, what is the benefit of transforming data from these distributions to conform to the standard distribution?
What role do z scores play in transforming data from multiple distributions to the standard normal distribution?
What is the relationship between z scores and percentages?
Give an example of a variable likely to be normally distributed in the population and explain how z scores pertaining to that variable would be useful in a real-life situation.

Consider the following questions: What are the variables (sample sizes, populati

Consider the following questions: What are the variables (sample sizes, population, treatments, etc.)? What are the inferential statistics used in this article? Were the proper steps of hypothesis testing followed?
Your article critique paper must
Determine what question(s) the authors are trying to answer by doing this research, the hypothesis being tested, and the concepts that were applied in this process.
Evaluate the article and critique the statistical analysis employed in the study.
Identify the specific statistical tests used. Were the tests appropriate for the situation and type of data?
Would you have included more and/or different variables? Explain your answer.
Examine the results, assumptions, interpretations, and limitations of the statistical study.
Interpret the findings of the author(s) using statistical concepts.
What would you have done differently? Why?
Discuss how either the statistical test(s) used in this study or the findings of this research might be useful in your future career.
The Inferential Statistics Article Critique assignment
Must be three to four double-spaced pages in length (not including title and references pages) and formatted according to APA Style as outlined in the Writing Center’s APA Style (Links to an external site.) resource.
Article is attached

Sampling Distribution A computer scanner can read a bar code on a package correc

Sampling Distribution
A computer scanner can read a bar code on a package correctly 97% of the time. One company monitors the accuracy of the scanner by randomly sampling packages and verifying that each package has been correctly scanned. Random samples of size n = 25, 50, 100, and 200 have recently been taken with the following results.
Sample Size, n Number Correctly Scanned 2524504910095200193
To complete this activity, use Excel to:
Calculate the sample proportion for each sample size. 
Calculate the single-proportion sampling error for each sample size. 
Calculate the probability of finding 198 correctly scanned packages, for a sample of size n=200. 
Submit your work Excel file.

The B&K Real Estate Company sells homes and is currently serving the Southeast r

The B&K Real Estate Company sells homes and is currently serving the Southeast region. It has recently expanded to cover the Northeast states. The B&K realtors are excited to now cover the entire East Coast and are working to prepare their southern agents to expand their reach to the Northeast.
B&K has hired your company to analyze the Northeast home listing prices in order to give information to their agents about the mean listing price at 95% confidence. Your company offers three analysis packages: one based on a sample size of 100 listings, one based on 1,000 listings, and another based on a sample size of 4,000 listings. Because there is an additional cost for data collection, your company charges more for the package with 4,000 listings than for the package with 100 listings.
Bronze Package – Sample size of 100 listings:
95% confidence interval for the mean of the Northeast house listing price has a margin of error of $24,500
Cost for service to B&K: $2,000
Silver Package – Sample size of 1,000 listings:
95% confidence interval for the mean of the Northeast house listing price has a margin of error of $7,750
Cost for service to B&K: $10,000
Gold Package – Sample size of 4,000 listings:
95% confidence interval for the mean of the Northeast house listing price has a margin of error of $3,900
Cost for service to B&K: $25,000
The B&K management team does not understand the tradeoff between confidence level, sample size, and margin of error. B&K would like you to come back with your recommendation of the sample size that would provide the sales agents with the best understanding of northeast home prices at the lowest cost for service to B&K.
In other words, which option is preferable?
Spending more on data collection and having a smaller margin of error
Spending less on data collection and having a larger margin of error
Choosing an option somewhere in the middle
For your post:
Formulate a recommendation and write a confidence statement in the context of this scenario. For the purposes of writing your confidence statement, assume the sample mean house listing price is $310,000 for all packages. “I am [#] % confident the true mean . . . [in context].”
Explain the factors that went into your recommendation, including a discussion of the margin of error

Scenario You have been hired by the Regional Real Estate Company to help them an

Scenario
You have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company’s Pacific region salespeople just returned to the office with a newly designed advertisement. It states that the average cost per square foot of his home sales is above the average cost per square foot in the Pacific region. He wants you to make sure he can make that statement before approving the use of the advertisement. The average cost per square foot of his home sales is $275. In order to test his claim, you collect a sample of 1,001 home sales for the Pacific region.
Prompt
Design a hypothesis test and interpret the results using significance level α = .05.
Use the House Listing Price by Region document to help support your work on this assignment. You may also use the Descriptive Statistics in Exceland Creating Histograms in Excel tutorials for support.
Specifically, you must address the following rubric criteria, using the Module Five Assignment Template.
Setup: Define your population parameter, including hypothesis statements, and specify the appropriate test.
Define your population parameter.
Write the null and alternative hypotheses. Note: Remember, the salesperson believes that his sales are higher.
Specify the name of the test you will use.
Identify whether it is a left-tailed, right-tailed, or two-tailed test.
Identify your significance level.
Data Analysis Preparations: Describe sample summary statistics, provide a histogram and summary, check assumptions, and find the test statistic and significance level.
Provide the descriptive statistics (sample size, mean, median, and standard deviation).
Provide a histogram of your sample.
Describe your sample by writing a sentence describing the shape, center, and spread of your sample.
Determine whether the conditions to perform your identified test have been met.
Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis.
Determine the appropriate test statistic, then calculate the test statistic.
Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 275.
Calculate the p value.
Note: For right-tailed, use the T.DIST.RT function in Excel, left-tailed is the T.DIST function, and two-tailed is the T.DIST.2T function. The degree of freedom is calculated by subtracting 1 from your sample size.
Choose your test from the following:
=T.DIST.RT([test statistic], [degree of freedom])
=T.DIST([test statistic], [degree of freedom], 1)
=T.DIST.2T([test statistic], [degree of freedom])
Using the normal curve graph as a reference, describe where the p value and test statistic would be placed.
Test Decision: Discuss the relationship between the p value and the significance level, including a comparison between the two, and decide to reject or fail to reject the null hypothesis.
Discuss how the p value relates to the significance level.
Compare the p value and significance level, and make a decision to reject or fail to reject the null hypothesis.
Conclusion: Discuss how your test relates to the hypothesis and discuss the statistical significance.
Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.
Guidelines for Submission
Submit the completed Module Five Assignment Template as a Word document that includes your response and supportive charts.

A binomial probability experiment is an experiment with two possible outcomes li

A binomial probability experiment is an experiment with two possible outcomes like flipping a coin (the two possible outcomes are head or tails.) 
1) Choose a binomial probability experiment.  Decide which result is a success and which result is a failure. DO NOT choose to flip a coin. Please be creative. If you’re not sure if you have chosen a binomial probability experiment, then check with your professor before proceeding.
2) You are going to do the experiment 50 times and record your results in a table, but before you do the experiment 50 times, make a guess about the probability of success.  That is, guess how many successes you will get before doing the experiment.
3) Calculate the empirical probability of success and compare it to your original guess. 
4) Write a paragraph explaining how you did the experiment, state your guess and your calculated empirical probability as a fraction, decimal and as a percentage. Then, compare your results to your guess. Were you close or were you far off?