Home Work Assignment 1 MAS202 PDF

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The assessment is intended to give you a full experience of doing research using the
statistical methodology we learn in Business Statistics 1....

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COURSE: APPLIED STATISTICS FOR BUSINESS – CODE: MAS202 HOMEWORK ASSIGNMENT 1 Instructions: You can present your answer using your handwriting or e-document like Microsoft Word or Excel. Read and follow the instructions given below to present your work neatly. Submit your answer in an electronic version via Google Classroom: .pdf; .doc; .docx, .xls, .xlsx files are all accepted. But your answer presentation must meet some requirements as follows:  Must have student’s name, ID and class information; and mention lecturer’s name: PhD. Pham Thanh Hieu  Must have page numbers in the bottom of each page; if you use Excel, you present place each question and its answer in separate sheet in one file.  If you use hand writing, you MUST scan your paper into pdf file and submit only ONE file including all of your answer.  If you present your work in a word document file (.doc/.docx) you need to submit 2 files: one is the original .doc/.docx file and another one is the pdf file converted from the previous one.  If you present your work in Excel, you submit one file with question and answer presented separately in each sheet of the file  If students have exactly (100%) the same answer presentation, I MUST doubt that this is a copy and paste work. These students will be scored by half of what they got in the overall. -----End of Instruction---Go to next pages to find questions for your assignment

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Question 1: Assume that the recorded heights of 10 students are 120, 122, 128, 176, 124, 127, 121, 125, 127, and 129 centimeters. Which number do you think will be the outlier while calculating the average height of students in the class and why? How would you deal with this outlier? Question 2: The FIFA World Cup was one of the biggest sporting events of 2018. The file WC2018TeamAge contains average age of the players (years, in 2018) of the 32 teams that qualified for the event. These average ages were: 26.04 26.78 27.17 27.57 28.17 28.43 28.61 28.96 26.09 27.09 27.26 27.78 28.22 28.43 28.78 29.17 26.09 27.09 27.26 27.83 28.26 28.52 28.83 29.52 26.48 27.09 27.48 28.09 28.35 28.52 28.91 29.74 Source: Data adapted from https://bit.ly/2zGSWRD. a. Organize these mean ages as an ordered array. b. Construct a frequency distribution and a percentage distribution for these mean ages. c. Around which class grouping, if any, are these mean ages concentrated? Explain. Question 3: How do college students spend their day? The 2016 American Time Use Survey for college students found the following results:

a. Construct a bar chart, a pie or doughnut chart, and a Pareto chart. b. Which graphical method do you think is best for portraying these data? Question 4: How have stocks performed in the past? The following table presents the data stored in Stock Performance and shows the performance of a broad measure of stocks (by percentage) for each decade from the 1830s through the 2000s:

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a. Construct a time-series plot of the stock performance from the 1830s to the 2000s. b. Does there appear to be any pattern in the data? Question 5: The file MobileCommerce contains the following mobile commerce penetration values, the percentage of the country population that bought something online via a mobile phone in the past month, for 28 of the world’s economies: 23 27 26 25 40 19 26 36 23 33 23 11 38 21 26 23 21 33 40 15 55 30 41 31 47 37 33 28 Source: Data extracted from bit.ly/2jXeS3F. a. Compute the mean and median. b. Compute the variance, standard deviation, range, coefficient of variation, and Z scores. Are there any outliers? Explain. c. Are the data skewed? If so, how? d. Based on the results of (a) through (c), what conclusions can you reach concerning mobile commerce population penetration? Question 6: The file MobileCommerce contains the following mobile commerce penetration values, the percentage of the country population that bought something online via a mobile phone in the past month, for twenty-eight of the world’s economies: 23 27 26 25 40 19 26 36 23 33 23 11 38 21 26 23 21 33 40 15 55 30 41 31 47 37 33 28 Source: Data extracted from www.slideshare.net/wearesocialsg/digital-in-2017global-overview. a. Compute the first quartile (Q1), the third quartile (Q3), and the interquartile range. b. List the five-number summary. c. Construct a boxplot and describe its shape. 3

Question 7: Consider a population of 1,024 mutual funds that primarily invest in large companies. You have determined that m, the mean one-year total percentage return achieved by all the funds, is 8.20 and that s, the standard deviation, is 2.75. a. According to the empirical rule, what percentage of these funds is expected to be within 1 standard deviation of the mean? b. According to the empirical rule, what percentage of these funds is expected to be within 2 standard deviations of the mean? c. According to Chebyshev’s theorem, what percentage of these funds is expected to be within 1, 2, or 3 standard deviations of the mean? d. According to Chebyshev’s theorem, at least 93.75% of these funds are expected to have one-year total returns between what two amounts? Question 8: Movie companies need to predict the gross receipts of individual movies once a movie has debuted. The data, shown below and stored in PotterMovies, are the first weekend gross, the U.S. gross, and the worldwide gross (in $ millions) of the eight Harry Potter movies: a. Compute the covariance between first weekend gross and U.S. gross, first weekend gross and worldwide gross, and U.S. gross and worldwide gross. b. Compute the coefficient of correlation between first weekend gross and U.S. gross, first weekend gross and worldwide gross, and U.S. gross and worldwide gross. c. Which do you think is more valuable in expressing the relationship between first weekend gross, U.S. gross, and worldwide gross—the covariance or the coefficient of correlation? Explain. d. Based on (a) and (b), what conclusions can you reach about the relationship between first weekend gross, U.S. gross, and worldwide gross? Question 9: Do Generation X and Boomers differ in how they use credit cards? A sample of 1,000 Generation X and 1,000 Boomers revealed the following results:

If a respondent is selected at random, what is the probability that he or she a. pays the full amount each month? b. is a Generation X and pays the full amount each month? c. is a Generation X or pays the full amount each month? d. Explain the difference in the results of (b) and (c). 4

Question 10: How will marketers change their social media use in the near future? A survey by Social Media Examiner of B2B marketers (marketers that focus primarily on attracting businesses) and B2C marketers (marketers that primarily target consumers) was based on 1,780 B2B marketers and 3,306 B2C marketers. The following table summarizes the results:

a. Suppose you know that the marketer is a B2B marketer. What is the probability that he or she plans to increase use of LinkedIn? b. Suppose you know that the marketer is a B2C marketer. What is the probability that he or she plans to increase use of LinkedIn? c. Are the two events, increase use of LinkedIn and business focus, independent? Explain.

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