Assignment DetailsIn Unit 2, you have learned about three different types of distributions: Normal, binomial, and Poisson. You can take data that you collect and plot it out onto graphs to see a visua

 (Assignment Details are also attached Assignment Details

In Unit 2, you have learned about three different types of distributions: Normal, binomial, and Poisson. You can take data that you collect and plot it out onto graphs to see a visual representation of the data.  By simply looking at data on a graph, you can tell a lot about how related your observed data are and if they fit into a normal distribution.

For this submission, you will be given a series of scenarios and small collections of data. You should plot the data or calculate probabilities in Minitab to practice your skills in the software. Then, you will create your own real or hypothetical scenario to graph and explain.

Answer the following:

  1. The mean temperature for the month of July in Boston, Massachusetts is 73 degrees Fahrenheit. Plot the following data, which represent the observed mean temperature in Boston over the last 20 years:

    199872

    199969

    200078

    200170

    200267

    200374

    200473

    200565

    200677

    200771

    200875

    200968

    201072

    201177

    201265

    201379

    201477

    201578

    201672

    201774

     

    1. Is this a normal distribution? What is an outlier? Are there any outliers in this distribution?
    2. Using the above data, what is the probability that the mean will be over 76 in any given July?
    3. Using the above data, what is the probability that the mean will be over 80 in any given July?
  2. heatwave is defined as 3 or more days in a row with a high temperature over 90 degrees Fahrenheit. Given the following high temperatures recorded over a period of 20 days, what is the probability that there will be a heatwave in the next 10 days?

    Day 193

    Day 288

    Day 391

    Day 486

    Day 592

    Day 691

    Day 790

    Day 888

    Day 985

    Day 1091

    Day 1184

    Day 1286

    Day 1385

    Day 1490

    Day 1592

    Day 1689

    Day 1788

    Day 1890

    Day 1988

    Day 2090

  3. A cell phone company wants to determine if its cell tower, which can simultaneously process 20,000 calls, will be able to handle call volume in a rapidly growing area for the next 5 years.  They collect the following data:
    • The current population serviced by this cell tower is 65,000.
    1. If the mean number of concurrent telephone users is 11,000, what is the probability that the tower will be able to handle the call volume 3 years, 4 years, and 5 years from now, assuming that the population of the area grows at 8.3% per year?
  4. Your own example:
    • Choose a company that you have recently seen in the news because it is having some sort of problem or scandal, and complete the following:
      • Discuss the situation, and describe how the company could use distributions and probability statistics to learn more about how the scandal could affect its business.  
      • If you were a business analyst for the company, what research would you want to do, and what kind of data would you want to collect to create a distribution? 
        • Would this be a standard, binomial, or Poisson distribution?  Why?
      • List and discuss at least 3 questions that you would want to create probabilities for (e.g., What is the chance that the company loses 10% of its customers in the next year?). 
        • What would you hope to learn from calculating these probabilities?  
      • Assuming that upper management does not see the value in expending the time and money necessary to collect data to analyze, make an argument (at least 100 words) convincing them that the expenditure is necessary and explaining some dangers the company could face by not knowing what the data predict. 

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