MATH 201 PROJECT 3 ASSIGNMENT 2015

| November 9, 2018

Project 3 instructions

Based on Larson & Farber: sections 5.2-5.3

Go to.google.com/finance/historical?q=NASDAQ:GOOG”>this website. First,
set
the date range tobe for exactly
1 yearending with the Monday that
this class started. For example, if the current term started on 04/01/2014, then use
04/01/2013 – 03/31/2014. Your dates will going back exactly 1 year. Next, click
the link on the right that says Download
to Spreadsheet and then save the file to your computer.

This project willonly use the Closing Values. Assume
that the closing prices of the stock form a normally distributed data set. This
means that you need to use Excel to find the mean and standard deviation and
then use those numbers and the methods you learned in sections 5.2 and 5.3 of
our text book for Normal distributions to answer the questions.

Complete this assignment within a single Excel file. Show your
work or explain how you obtained each of your answers.Answers
with no work and no explanation will receive no credit.

If a person bought 1 share of Google stock within the last year,
what is the probability that the stock on that day closed at less than the mean
for that year? Hint: You do not want to calculate the mean to answer this one.
The probability would be the same for any normal distribution. (4 points)If a person bought one share of Google stock within the last year,
what isthe
probability that the stock on that day closed at more than $400? (6 points)If a person bought 1 share of Google stock within the last year,
what isthe
probability that the stock on that day closed within $45 of the mean for that
year? (6 points)Suppose a person within the last year claimed to have bought
Google stock at closing at $362.50 per share. What is the probability that the
stock closed at $362.50 or less on a randomly selected business day? (5 points)At
what prices would Google have to close at in order for it to be considered
statistically unusual? You should have a low and high value. Be sure to use the definition of
unusual from our textbook.(5
points)What
are Quartile 1, Quartile 2, and Quartile 3 in this data set? Use Excel to find
these values. This is the only question that you should answer without using
anything about the Normal distribution.(5
points)Is
the normality assumption that was made at the beginning valid? Why or why not?
Hint: Does this distribution have the properties of a normal distribution as
described in our textbook? It does not need to be perfect. Real data sets are
never perfect. However, it should be close. One option would be to construct a
histogram like we did in Project 1 and see if it has the right shape. If you go
this route, something in the range of 10 to 12 classes would be a good number. (5 points)
Submit your work through the assignment link by 11:59 p.m. (ET) on
Monday of the appropriate Module/Week. Note that you must do this project on
your own—you may not work with other students. You are always welcome to ask
your instructor for help.

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