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. 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.

PLEASE USE DATES: March 16, 2019 - March 15, 2020.
If you use the correct dates the mean should be somewhere between 1200 and 1300. The standard deviation will be between 110 and 120. You should also have 252 rows in the downloaded spreadsheet. If your numbers fit those ranges you are doing it correct

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? (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 $950 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.

Answer 1

Answer:

Given that,

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. 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.

PLEASE USE DATES: March 16, 2019 - March 15, 2020.
If you use the correct dates the mean should be somewhere between 1200 and 1300. The standard deviation will be between 110 and 120. You should also have 252 rows in the downloaded spreadsheet. If your numbers fit those ranges you are doing it correctly.

This project will only use 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.

Note: allowed to solve only 4 sub-question per post. hence solved 4 questions, in complete detail

The data has been download for google for the following period.(If an incorrect period, please change and simply put the formulas and you will get the results.

Time Period: March 16, 2019 - March 15, 2020

Put the data in excel as follow and type in the formulas as shown.

For better understanding solved the d question with hand.

We are given,

Mean==1205.639

Standard deviation==90.55

We need to find

P(X > 1150)=1-P( < 1150)

First, we find the Z-score,

Z-score =

Use the normal distribution table we find p-value

P(X < 1150)=0.2694

Hence, the needed probability P(X > 1150)=1-P(X < 1150)

=1-0.2694

=0.7306

We are given,

Mean==1205.639

Standard deviation==90.55

We need to find P( 1155.639 < X < 1255.639):

P( 1155.639 < X < 1255.639)=P(X < 1255.639)-P(X < 1155.639)

Let us find P(X < 1155.639):

Z-score=

Using the normal distribution table will find p-value

P(X < 1155.639)=0.2904

Let us find P(X < 1255.639):

Z-score=

Using the normal distribution table will find p-value

P(X < 1255.639)=0.7096

Hence the needed probability

P( 1155.639 < X < 1255.639)=P(X < 1255.639)-P(X < 1155.639)

=0.7096-0.2904

=0.4192