Tag: Standard deviation

Standard Deviation

Posted on | by Brian Leakey

You are asked by a fast food restaurant Henrietta’s Chicken Shack to give some summary statistics on customer wait times and then present that data in a table.
Use excel to input the following wait times
[5, 8, 6, 7, 4, 10, 2, 9, 3, 7, 6, 8, 1, 4, 3, 2, 5, 7, 9, 10, 4, 6, 8, 3, 5, 7, 1, 2, 9, 4]
(1) Calculate the summary statistics of time spent waiting
Min Wait Time
Max Wait Time
Mean Wait Time
Median Wait Time

Standard Deviation
Variance
(2) Screen shot your work and answers from excel here
(3) Input your data into Datawrapper and create a Table with (A) an appropriate Title and (B) Your full name in the data source

Standard deviation, and the CV of the annual rate of return of the portfolio.

Posted on | by Brian Leakey

This is a complete written report of your portfolio formation in a Word document. Your historical data and relevant derived values in tables can be pasted from your previous calculations in the Excel spreadsheet. Please provide explanations of all calculations and the justifications in Word format. Make sure to also paste all underlying Excel formulae that you used for calculations in the Word document.

Once again, provide the data that you presented in answering Part 2 of Professional Assignment 2.
Calculate the mean, variance, and the standard deviation of each security’s annual rate of return.
Calculate the correlation coefficient between every possible pair of securities’ annual rates of return.
Choose percentages of your initial investment that you want to allocate amongst the five (5) securities (weights in the portfolio).
Create embedded formulae which generate statistical properties of the portfolio upon insertion of the weights.
Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio.
Find the combination of the weights that minimizes CV of the portfolio.
How does the CV of the optimal portfolio compare with the CVs of its constituents?
What is the expected rate of return and standard deviation of the rate of return of the portfolio?
Choose different values within the range of the standard deviation of the portfolio, and for each chosen value, locate the corresponding point on the efficient frontier by finding the weights that maximize the expected rate of return of the portfolio.
Subsequently, construct the efficient frontier of your portfolio.
Assume that you initially invested $1,000,000 in the portfolio and that the distribution of the annual rate of return of the portfolio is normal.
What is the distribution of the return of the portfolio 20 years after its formation?
Provide the graph of the distribution of the return of the portfolio.
Provide your explanations and definitions in detail and be precise. Comment on your findings. Provide references for content when necessary.

Standard deviation

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Use the free version of SPSS to review, demonstrate, and execute the following functions:

1. Enter the following data:

Case 1: Age 24. Weight 165. Gender Male. Pretest score 65. Post test score 80

Case 2: Age 28. Weight 150. Gender Female. Pretest score 65. Post test score 75

Case 3: Age 23. Weight 125. Gender Female. Pretest score 80. Post test score 85

Case 4: Age 31. Weight 150. Gender Male. Pretest score 83. Post test score 90

Case 5: Age 24. Weight 150. Gender Male. Pretest score 75. Post test score 80

1b) Run descriptive statistics on the data

1c) Run a frequency distribution on the data

1d) Create a graph of posttest scores

2. Complete the SPSS Assignment Table below

Item 2.1: What was your mean? Response? Comment?

Item 2.2: What were your t-test results? Response? Comment

Item 2.3: What was your standard deviation? Response? Comment

 

Standard deviation

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The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes.

Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. What would be the chi-square statistic represented by this test?