Question

Visit the NASDAQ historical prices weblink. First, set the date range to be for exactly 1 year ending on the Monday that this course started. For example, if the current term started on April 1, 2018, then use April 1, 2017 – March 31, 2018. (Do NOT use these dates. Use the dates that match up with the current term.) MY DATES ARE MARCH 18 2018 - MARCH 19 2019 Do this by clicking on the blue dates after “Time Period”. Next, click the “Apply” button. Next, click the link on the right side of the page that says “Download Data” to save the file to your computer.

This project will only use the Close 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. Then, use those numbers and the methods you learned in sections 6.1-6.3 of the course textbook for normal distributions to answer the questions. Do NOT count the number of data points.

Complete this portion of the 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.

1. a) Submit a copy of your dataset along with a file that contains your answers to all of the following questions.

b) What the mean and Standard Deviation (SD) of the Close column in your data set?

c) 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. (5 points)

2. 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 more than $1150? (5 points)
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 $50 of the mean for that year? (Hint: this means the probability of being between 50 below and 50 above the mean) (5 points)
4. 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 $900 per share. Would this be considered unusal? Use the definition of unusual from the course textbook that is measured as a number of standard deviations (5 points)
5. At what prices would Google have to close in order for it to be considered statistically unusual? You will have a low and high value. Use the definition of unusual from the course textbook that is measured as a number of standard deviations. (5 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 must answer without using anything about the normal distribution. (5 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 the course textbook? Real data sets are never perfect, however, it should be close. One option would be to construct a histogram like you did in Project 1 to see if it has the right shape. Something in the range of 10 to 12 classes is a good number. (5 points)

There are also 5 points for miscellaneous items like correct date range, correct mean, correct SD, etc.

Project 3 is due by 11:59 p.m. (ET) on Monday of Module/Week 5.

Answer 1

Data set for Google from 19 March 2019 to 18 March 2018 (The first 5 questions are solved detailed solution given below.)

b. mean and std

mean   1122.054246
sd   69.35095097

Put close price in a seperate sheet and use the following formulas

1 close 2 1202.46 3 1188.55 4 1190.3 5 1192.53 6 1199.06 7 1197.25 8 1179.26 9 1149.97 10 1150.85 11 1164.94 121169.19 13 1153.42 14 1148.52 15 1126.55 16 1122.89 17 1122.01 18 1117.33 19 1116.56 20 1104.21 21 1120.59 mean AVERAGE(A2:A253) STDEV.P(A2:A253)

c. c) 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.

We are given mean = μ= 1122.054 standard deviation σ-69.3509 x 1 1 22.054 We need to find P(X 1122.054) First we find the Zscore Zscore -- Using the normal distribution table we find pvalue P(X 1122.054) 0.5 Hence the needed probability P(X<1122.054) 0.5 X-11 1122.054-1122.054 69.3509 20

2. 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 more than $1150? (5 points)

We are given mean μ= 1122.054 standard deviation σ 69.3509 We need to find P(X>1150)1- P(X<1150) First we find the Zscore -μ 1150-1122.054 Zscore Using the normal distribution table we find pvalue P(X< 1 150) 0.6565 Hence the needed probability P(X>1150) 1- P(X 1150)1- 0.6565-0.3435 - 69.3509 0.403 σ

2. 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 $50 of the mean for that year? (Hint: this means the probability of being between 50 below and 50 above the mean) (5 points)

We are given mean = μ= 1122.054 standard deviation-σ-69.3509 We need to find P(1072.054 X<1172.054) Pl 1 072. 054Ж 1 1 72.054) = P(X< 1 1 72.054 )-P(X<1072.054) Let us find P(X<1072.054) -μ 1072.054-1122.054 Zscore Using the normal distribution table we find pvalue P(X 1072.054)0.2355 Let us find P(X<1172.054) 69.35090.721 X-11 1172.054-1122.054 69.3509 0.721 Using the normal distribution table we find pvalue P(X 1172.054) 0.7645 Hence the needed probability P(1072 .054X< 1 172.054) P(X<1 172.054)-P(X 1072.054)= 0.7645-0.2355-0.529