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 using excel. Then, you will create your own real or hypothetical scenario to graph and explain.
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
1999 69
2000 78
2001 70
2002 67
2003 74
2004 73
2005 65
2006 77
2007 71
2008 75
2009 68
2010 72
2011 77
2012 65
2013 79
2014 77
2015 78
2016 72
2017 74
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?