Tag: Mathematics

Competency

Develop a confidence interval for a population parameter.

Instructions

Scenario (information repeated for deliverable 01, 03, and 04)

A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet that contains the following information:

• A listing of the jobs by title
• The salary (in dollars) for each job

Deliverable 3 – Confidence Intervals.xlsx

You have previously explained some of the basic statistics to your client already, and he really liked your work. Now he wants you to analyze the confidence intervals.

Background information on the Data

The data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $30,000 to $200,000 for the state of Minnesota.

 Your boss wants you to submit the spreadsheet with the completed calculations, answers, and analysis.

Competency

Evaluate hypothesis tests for population parameters from one population.

Instructions

Scenario (information repeated for deliverable 01, 03, and 04)

A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet that contains the following information:

• A listing of the jobs by title
• The salary (in dollars) for each job

Deliverable 4 – Hypothesis Tests.xlsx

In prior engagements, you have already explained to your client about the basic statistics and discussed the importance of constructing confidence intervals for the population mean. Your client says that he remembers a little bit about hypothesis testing, but he is a little fuzzy. He asks you to give him the full explanation of all steps in hypothesis testing and wants your conclusion about two claims concerning the average salary for all jobs in the state of Minnesota.

Background information on the Data

The data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $30,000 to $200,000 for the state of Minnesota.

What to Submit

Your boss wants you to submit the spreadsheet with the completed calculations, answers, and analysis.

Competency

Evaluate hypothesis tests for population parameters from two populations.

Dealing with Two Populations

Inferential statistics involves forming conclusions about a population parameter. We do so by constructing confidence intervals and testing claims about a population mean and other statistics. Typically, these methods deal with a sample from one population. We can extend the methods to situations involving two populations (and there are many such applications). This deliverable looks at two scenarios.

Concept being Studied

Your focus is on hypothesis tests and confidence intervals for two populations using two samples, some of which are independent and some of which are dependent. These concepts are an extension of hypothesis testing and confidence intervals which use statistics from one sample to make conclusions about population parameters.

Part 1: Globalization and Information Research

Context: Companies that perform well in their country of origin usually consider expanding operations in new international markets. Deciding where, how, and when to expand is not an easy task, though.

Many issues need to be considered before crafting an expansion strategy and investing significant resources to this end, including:

• the level of demand to be expected for the company’s products/services
• presence of local competitors
• the regulatory, economic, demographic, and political environments

Carefully researching and analyzing these and other factors can help mitigate the inherent risk associated with an overseas expansion strategy, thus increasing the likelihood of success.

As a data analyst in your company’s business development department, you’ve been tasked with the responsibility of recommending countries for international expansion. You’ll write a report to the company’s executive team with your research, analysis, and recommendations.

https://hbr.org/2018/10/how-netflix-expanded-to-19…

Instructions:

Write a 525-word summary covering the following items:

• According to the article listed above, what were the most important strategic moves that propelled Netflix’s successful international expansion?
• The article mentions investments in big data and analytics as one of the elements accompanying the second phase of overseas expansion. Why was this investment important? What type of information did Netflix derive from the data collected?
• According to the article, what is exponential globalization?
• Not all international expansion strategies are a resounding success, however. Research an article or video that discusses an instance in which an American company’s expansion efforts in another country failed. According to the article/video you selected, what were the main reasons for this failure? Do you agree with this assessment?
• Explain some of the reasons why certain companies’ expansion plans have failed in the past.

Part 2: Hypothesis testing

Context: Your organization is evaluating the quality of its call center operations. One of the most important metrics in a call center is Time in Queue (TiQ), which is the time a customer has to wait before he/she is serviced by a Customer Service Representative (CSR). If a customer has to wait for too long, he/she is more likely to get discouraged and hang up. Furthermore, customers who have to wait too long in the queue typically report a negative overall experience with the call. You’ve conducted an exhaustive literature review and found that the average TiQ in your industry is 2.5 minutes (150 seconds).

Another important metric is Service Time (ST), also known as Handle Time, which is the time a CSR spends servicing the customer. CSR’s with more experience and deeper knowledge tend to resolve customer calls faster. Companies can improve average ST by providing more training to their CSR’s or even by channeling calls according to area of expertise. Last month your company had an average ST of approximately 3.5 minutes (210 seconds). In an effort to improve this metric, the company has implemented a new protocol that channels calls to CSR’s based on area of expertise. The new protocol (PE) is being tested side-by-side with the traditional (PT) protocol.

Instructions:

Access the Call Center Waiting Time file. Each row in the database corresponds to a different call. The column variables are as follows:

• ProtocolType: indicates protocol type, either PT or PE
• QueueTime: Time in Queue, in seconds
• ServiceTime: Service Time, in seconds
• Perform a test of hypothesis to determine whether the average TiQ is lower than the industry standard of 2.5 minutes (150 seconds). Use a significance level of α=0.05.
• Evaluate if the company should allocate more resources to improve its average TiQ.
• Perform a test of hypothesis to determine whether the average ST with service protocol PE is lower than with the PT protocol. Use a significance level of α=0.05.
• Assess if the new protocol served its purpose. (Hint: this should be a test of means for 2 independent groups.)
• Submit your calculations and a 175-word summary of your conclusions.

Compile a data set of 20 points (observations, cases, study subjects, etc.) or more with two (2) quantitative variables (2 variables are needed for probability calculations and regression analysis).

Competency

Determine the linear correlation and regression equation between two variables to make predictions for the dependent variable.

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.

1. 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.
   •  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: 
   1. Brief overview of the scenario and variables in the data set
   2. Discussion, calculation, and interpretation of the mean, median, mode, range, standard deviation, and variance
   3. Discussion, construction, and interpretation of the 95% confidence interval
   4. Explanation of the full hypothesis test
   5. Conclusion

Please work out the problems attached can send back in a word document please. Please show work so I can understand. this is Graphing Quadratic Functions.

I’m working on a algebra multi-part question and need an explanation and answer to help me learn.

(The first few questions have been already answered for understanding, please see the attached image for the actual questions)

1. The Anderson family consists of married couple Hannah and Jonathan, and their young daughter Eva. Hannah is a software designer making $58,000 per year, and Jonathan is an office manager making $46,000 per year.

(a). Should they file their taxes jointly or seperately?

Jointly: $9,039

Separately: $9,509
They should file jointly

(b). Determine the FICA taxes for both Hannah and Jonathan.

Hannah:

Social Security tax: $3,596

Medicare Tax: $841

Jonathan:

Social Security tax: $2,852

Medicare Tax: $667

Medicare tax if filed jointly: $1,508

Social security tax if filed jointly: $6,448