# Elem stats project 3 | Mathematics homework help

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Project 3 instructions

Based on Larson & Farber: sections 5.2-5.3

Go to this website. (http://www.google.com/finance/historical?q=NASDAQ:GOOG) You may need to copy and paste the link. Click the link on the right that says Download to Spreadsheet. Set the date range to end the day before the first Monday of the current term and to start 1 year before that. For example, if the current term started on 04/01/2014, then use 04/01/2013 – 03/31/2014. Your dates will be going back exactly 1 year. This term started on August 18, so use August 18, 2013—August 18, 2014.

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This project will only 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.

Video for histogram

Video for mean, standard deviation, and quartiles

1.      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) Use the Empirical Rule (percentiles) from Chapter 2.

2.      If a person bought one share of Google stock within the last year, what is the probability that the stock on that day closed at more than \$400? (6 points)

Hint: Use Excel to find the mean and standard deviation. Then find the z score and use the standard normal table.

This one can be done on the calculator easily.

3.      If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed within \$45 of the mean for that year? (6 points) Hint: Find two z scores and use the Standard Normal Table.  This one can also be done on the calculator easily.

4.      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?  (6 points)

5.      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.  (6 points)

6.      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.  (6 points)

7.       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.  (6 points)

I would like for you to be sure to use the book and look at info in Chapter 5.2. Most of these questions can be answered using this section, the Empirical Rule in Chapter 2, and the info on unusual z-scores.

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