ECON 2110 Business Statistics essay

ECON 2110 Business Statistics essay

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ECON 2110 Business Statistics essay

Assignment 7

A reminder about Academic Integrity from the syllabus:

Cheating in its various forms will be severely punished. The minimum penalty is a grade of zero on the assignment in question, but it can go up to expulsion from the university. If you have not done so yet, please familiarize yourself with the “Academic Integrity Policy” (available online at http://www.wpunj.edu/dotAsset/230122.pdf). All parts of that Policy are relevant and important, but for the online setting of the class, I especially would like to stress sections II.B. (on plagiarism) and II.C. (on collusion).

Please make sure that you truly understand what all parts of the policy mean. To name a few examples, working together with another student on an assignment, getting help on an assignment from someone else (e.g., a tutor), and copying another student’s work are all violations of the Academic Integrity Policy.

Please note that you have a choice with this assignment.

You can either answer the questions on page 2 or those on page 3. Please note that you need to make a choice which questions you will answer, i.e., you cannot turn in answers to both sets of questions for credit.

If you will answer the questions on page 3, please do not answer the questions on this page.

Question A1 (3 points)

Part (a) (1 point)

Suppose that you roll a die 36 times with the following outcomes:

Outcome	Frequency
1	10
2	2
3	3
4	8
5	4
6	9
Sum	36

At a significance level of 0.05, can we reject the null hypothesis that the die is fair (i.e., that all six outcomes occur equally often)?

Part (b) (1 point)

Suppose that you now roll the same die 360 times with the following outcomes:

Outcome	Frequency
1	100
2	20
3	30
4	80
5	40
6	90
Sum	360

At a significance level of 0.05, can we reject the null hypothesis that the die is fair (i.e., that all six outcomes occur equally often)?

Part (c) (0.5 points) What do you observe when you compare your results from parts (a) and (b)?

Part (d) (0.5 points)

Please provide an explanation for what you observed in part (c).

Question A2 (2 points) Suppose that in bags of Christmas M&Ms, half of the M&Ms are supposed to be red, and the other half green. In a bag with 120 M&Ms and using a significance level alpha of 0.05, what is the lowest number of green M&M’s at which we would not reject the null hypothesis that the proportions between the two colors are indeed equal in the population?

If you answered the questions on page 2, please do not answer the questions on this page.

Question B1 (3 points)

Suppose that 14 individuals take a two-day course that is supposed to improve their knowledge of Web page design, which is rated as “not proficient,” “proficient,” or “advanced proficient.” Of the 14 individuals in the sample, 12 are rated higher after the course than before, 1 individual is rated lower, and 1 individual’s assessment is unchanged. Using a significance level of 0.05, can we conclude from this information that the course is successful in improving individuals’ knowledge of Web page design?

Question B2 (2 points) Suppose that we have ratings of a restaurant from a sample of 54 customers. Each of the ratings is either “excellent,” “very good,” “good,” “fair,“ or “poor.” In order to test whether the typical rating is “good,” would you prefer a hypothesis test for the population mean (like in Chapter 10) or a hypothesis test for the population median (like in Chapter 18)? Justify your answer.

Page 3 of 3

ECON 2110 Business Statistics essay

RUBRIC QUALITY OF RESPONSE NO RESPONSE POOR / UNSATISFACTORY SATISFACTORY GOOD EXCELLENT Content (worth a maximum of 50% of the total points) Zero points:  Student failed to submit the final paper. 20 points out of 50:  The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking. 30 points out of 50:  The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately.  Elements of the required response may also be lacking. 40 points out of 50:  The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples.  The answer is complete. 50 points:  The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples.  No aspects of the required answer are missing. Use of Sources (worth a maximum of 20% of the total points). Zero points:  Student failed to include citations and/or references. Or the student failed to submit a final paper. 5 out 20 points:  Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6th Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 10 out 20 points:  References to scholarly sources are occasionally given; many statements seem unsubstantiated.  Frequent errors in APA 6th Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 15 out 20 points:  Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented.  APA 6th Edition is used with only a few minor errors.  There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 20 points:  Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented.  APA 6th Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. Grammar (worth maximum of 20% of total points) Zero points:  Student failed to submit the final paper. 5 points out of 20:  The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors  10 points out 20:  The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors 15 points out of 20:  The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage. 20 points:  The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free. Structure of the Paper (worth 10% of total points) Zero points:  Student failed to submit the final paper. 3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6th edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6th edition requirements whatsoever. 5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6th edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements.  The student also significantly writes too large or too short of and paper 7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 10 points: Student provides a high-caliber, formatted paper. This includes an APA 6th edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper.
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