Individual Assignment – Statistics

39082Marks awarded to your assignment are based on the following guidelines:
1. 80% of the marks are allocated to the content of your answers:
 The marks awarded to what your answers cover depend on the extent to which they cover the key points that correctly and comprehensively address each question.
 The key points should be supported by evidence drawn from course materials and wherever relevant, from other credible sources.
2. 20% of the marks are allocated to the presentation of your answers:
Wherever applicable, the marks awarded to how your answers are presented depend on the extent to which your answers:
 form a sound reasoning by developing those key points in a clear, logical and succinct manner;
 provide proper and adequate in-text citations and referencing to content drawn from course materials and other credible sources;
 strictly follow APA formatting and style guidelines1, in particular for:
 in-text citations and end-of-report references;
 the identification of figures and tables;
 use, wherever relevant, the specialized vocabulary and terminology commonly used in discussions about the topic(s) covered by each question;
 provide a reference or bibliography at the end of the main report;
 include the less relevant details in an Appendix;
 use sentence constructions that are grammatically and syntactically correct;
 are free from spelling mistakes; present the workings, numerical formulations and results in a logical manner that follows the APA formatting and style guidelines;
 design and present graphs, diagrams and plots that follow the APA formatting and style
guidelines;
 are highly original;
 have proper formatting, which may:
 include a properly formatted cover page;
 respect the answer length/word count set out in the assignment guidelines, if
any is prescribed;
 present answers in paragraphs with proper spacing and page margins;
 include page numbers and appendices, if necessary.
1 You can find a short tutorial on the APA formatting and style guidelines here:
https://apastyle.apa.org/index. Additional details (pertaining to tables and figures) can be found here: https://is.gd/O4vDdT.

The Global Social Mobility Report 2020 ranked Singapore 20th out of 82 countries studied. After reading the report, Mr. Tan, a student at the Singapore University of Social Sciences, was interested to estimate income mobility across generations in Singapore. He surveyed a random sample of 120 students from the Singapore University of Social Sciences, and collected data on monthly income of their father and their oldest sibling who is currently working in 2021.
He managed to get 72 pairs of income data, which are given in the Excel data file
“BUS105_mobility”. Based on his observation, he hypothesized that rich children have rich fathers.

Source:
https://www.weforum.org/reports/global-social-mobility-index-2020-why-economies-benefit-from-fixing-inequality/

Question 1

(a) Describe the 90% confidence interval of the mean monthly income of children and fathers in 2021, respectively. Interpret and discuss whether Mr. Tan can conclude that the mean monthly income of fathers is higher than that of children. Please round your answer to zero decimal places. (20 marks)

(b) Apply an appropriate hypothesis test to determine if the mean monthly income of fathers is higher than that of children, at the significance level of 10%. Examine the assumptions required to perform the test. Are these assumptions reasonable? Please provide explanations. (30 marks)

Please provide the excel table for my reference that you will be working with.
Kindly prepare this assignment under Word document.

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