Answer the following: 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:
1998 – 72 degrees
1999 – 69 degrees
2000 – 78 degrees
2001 – 70 degrees
2002 – 67 degrees
2003 – 74 degrees
2004 – 73 degrees
2005 – 65 degrees
2006 – 77 degrees
2007 – 71 degrees
2008 – 75 degrees
2009 – 68 degrees
2010 – 72 degrees
2011 – 77 degrees
2012 – 65 degrees
2013 – 79 degrees
2014 – 77 degrees
2015 – 78 degrees
2016 – 72 degrees
2017 – 74 degrees
A. Is this a normal distribution? Explain your reasoning.
B. What is an outlier? Are there any outliers in this distribution? Explain your reasoning fully.
C. Using the above data, what is the probability that the mean will be over 76 in any given July?
D. Using the above data, what is the probability that the mean will be over 80 in any given July?
A 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 1 – 93 Degrees
Day 2 -88 Degrees
Day 3 – 91 Degrees
Day 4 – 86 Degrees
Day 5 – 92 Degrees
Day 6 – 91 Degrees
Day 7 – 90 Degrees
Day 8 – 88 Degrees
Day 9 – 85 Degrees
Day 10 – 91 Degrees
Day 11 – 84 Degrees
Day 12 – 86 Degrees
Day 13 – 85 Degrees
Day 14 – 90 Degrees
Day 15 – 92 Degrees
Day 16 – 89 Degrees
Day 17 – 88 Degrees
Day 18 – 90 Degrees
Day 19 – 88 Degrees
Day 20 – 90 Degrees
Customer surveys reveal that 40% of customers purchase products online versus in the physical store location. Suppose that this business makes 12 sales in a given day
A. Does this situation fit the parameters for a binomial distribution? Explain why or why not?
B. Find the probability of the 12 sales on a given day exactly 4 are made online
C. Find the probability of the 12 sales fewer than 6 are made online
D. Find the probability of the 12 sales more than 8 are made online
Your own example:
A. 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
