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Mathematics

### Question Description

Hello,

This is a writing assignment. Please complete all the following.

Writing Requirements

This assignment is the first of four steps in completing the business memorandum. This assignment will require you to:

Solve a statistics problem - you will solve the statistics problem and include it in this assignment (in the appendix.) - You will use the calculations you complete to inform the recommendation you make for this problem.

Answer the problem questions included in the assignment template -through doing this you will articulate an understanding of the problem and what you are being asked to do with that problem, the value of the statistical calculation to addressing the problem, and who the audience you are asked to address is and how their role and status will influence what and how you write your memorandum.

Complete a draft of the memorandum - through doing this you will demonstrate an ability to understand and explain a statistical problem in language appropriate to the professional status and background of the audience you are addressing

To complete this assignment you will use:

The Business Memorandum Template Preview the document- open this template and complete the assignment in it

The Business Memorandum Guide -Preview the document this will provide guidance on the content of the memorandum

The problem description below - this is the statistical problem you will address.

You may also reference the Business Memorandum examplePreview the document to see what the completed assignment will look like.

What will you be graded on?

This assignment will be graded on completeness ONLY. However, it is the document on which you will get feedback from your classmates, so you should produce your best work, in order to get the best possible feedback. Be sure to look at the assignment rubric to assure that you have completed the required elements prior to turning in the assignment.

Problem Description

In this section, you will find a description of the problem, requested recommendation and audience for the final memorandum for this assignment.

Problem description:

You are a line manager in Super Car Part’s Eversville manufacturing facility. The company produces automotive parts, and you have responsibility for the line producing steel shafts for the gearbox manufactured in the Eversville Plant. The acceptable dimension of the shaft is 2.5±0.05 inches in diameter with the most desirable product having a diameter of exactly 2.5 inches. The current equipment is approaching the end of its useful life and needs to be replaced. Two vendors are trying to sell your company, Super Car Parts Incorporated, their machines for the shaft-machining task. You have been asked to assess the machines from each vendor, and to make a recommendation for a machine vendor supported by a justification for your decision.

You asked both vendors to supply data on the machining accuracy of their machines for the given task. Both vendors machined 100 shafts, collected data, plotted histograms, fitted the histograms with normal distributions and supplied you with their findings.

Let X= diameter in inches of the gearbox shaft

Aballo Machines Inc.: X has a normal distribution with a mean of 2.49 and a standard deviation of 0.030

Lu Equipment Corp.: X has a normal distribution with a mean of 2.53 and a standard deviation of 0.015

Audience: You are creating this document for the company’s Chief Operating Officer (Links to an external site.), Lenore Georges, and copying the Chief Financial Officer, (Links to an external site.) Anahita Kourosh. Documents involved in major financial decisions like this may also be distributed by the addressees to other executives and the corporate board members.

Also, I will attach all the links as files incase you are not able to open them.

Important Notes: Do not create a new word document to write this. There is a template here where you can open and complete the assignment. Also, do this in 6 pages at least or more if it is necessary.

Let me know if you have any question

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## Final Answer

Attached.

Student:

Problem Definition Questions

1. What problem you have been asked to address? While you are using statistics to support a

particular answer, the question you are being asked to address is not a formula or a description

of the calculations you will complete. You need to describe the problem you are being asked to

solve in plain language.

Super Car Part's Eversveille manufactures steel shafts and other automotive parts, currently

using an old equipment. Hence, the equipment produces poor quality steel shafts due to their

inaccurate dimensions. The required (accurate) shaft dimension is 2.50inches. Based on these

facts, the company considers to replace the old machine with a new one since the old one is

close to the end of its life. The firm, hence, faces a problem of chosing appropriate machine

from two vendors, Aballo Machines Inc. and Lu Equipment Corp.

2. How can the data provided inform an intervention recommendation?

The statistical data of the two machine vendors given is used in assesssing the one that would

produce shafts with more accurate dimensions (close to 2.50in as much as possible). As such,

the data would be used to determine the machine with a higher proabbility of having shaft

dimension that lie within the 2.50 +/- 0.05inches limit. The one with a higher probability

implies that it is most accurate one that would produce high quality shafts.

3. What is the outcome you are supposed to provide in this memorandum?

The outcome is the probability of the normal distribution for each of the machines. The one

with a higher probability would be recommen...