I need help on a probability and statistics for engineers and scientists project part 1 (3301) for tomorrow as I'm not feeling very confident in it and my grade so far in the class of all classes I'm currently taking1
PROJECT PART I
Due Monday, November 16
Students will complete 2 parts to each of the
for the semester.
Each part is worth
7.5% of your semester grade. The overall aim of the projects is to allow students to apply some
of the important concepts learnt in IE 3301 to the analysis of real world data. The specific
To sample two data sets from real world occurrences of events
To summarize the data statistically
To perform statistical tests of hypotheses on the data
In each project, you will use real world data of events and analyze them according to the
You will submit your written work in two parts. The first part is essentially
the summary of the data gathered. The second part is the statistical tests of hypotheses. You may
consult me in class or during my office hours to ensure the relevance, quality and accuracy of
20% of the grade will be for the quality of your presentation (order, neatness, symbols, etc.) and
80 % for accuracy in your statistical analyses.
Project 1. GOODNESS OF FIT TEST FOR A NORMAL DISTRIBUTION
Take a large number of observations (at least 100) for a
variable from a population
that is suspected to be normally distributed. For example, the body weights of people, the
circumferences of oranges, the high temperature of a city for 100 consecutive days, the extension
length of rubber bands at the point at which they burst, etc.
First submission of report:
Cover page: course; name of the project; your name; date
Page 1: (
) The definition of your variable (X)
) The source of your data (i.e., how you obtained the data)
) List the values of the variable, X, in about 10 columns
) Compute the mean and standard deviation of X and show your formulas.
Page 2: Construct a frequency table for X – about 2/3 page in size.
Page 3: Construct a frequency histogram – about 2/3 page in size.
Page 4: Determine the quartiles of X and construct a Box plot – about 2/3 page in size.
Project 2. GOODNESS OF FIT TEST FOR AN EXPONENTIAL DISTRIBUTION
Record the instance of occurrences of an event for 100 or more occurrences. For example, the
time of arrival (to the nearest second) of people at a checkout point in a supermarket. Determine
interval between occurrences (X)
– e.g. the inter-arrival times at the check-out center -- by
taking the difference between successive arrival times.
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