As this is an individual assessment item, students MUST work on their own and present their individual assignment submission. If found to have cheated, your submission would receive a mark of zero for this assessment item. Note: University uses text-matching tools to detect academic cheating, collusion and plagiarism.
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Problem 1 – Efficiency analysis of workflow system (8 marks)
John is the Chief Financial Officer of a very large software company that employs more than 5,000 programmers. He is committed to increase funding to the development of the company’s new workflow system if at least 20% of his programmers agree that the system significantly enhances their work efficiency. 700 programmers were randomly selected and surveyed for this analysis. 175 programmers stated that they find the workflow system is useful and boost their work efficiency. Estimate with 99% confidence the proportion of all of the company’s programmers who find the new workflow system useful for their work efficiency.
Problem 2 – Used car price evaluation (10 marks)
It is estimated that around 13% of the residents of Jakarta use cars to commute. Despite the current Covid-19 pandemic, a large car dealership in the city reported that the demand for used mid-size passenger sedans in the city has become stronger. The dealership further claimed that the average selling price for used mid-size passenger sedans is now more than $9,500. In verifying this, a random sample of 120 used mid-size passenger sedans is selected. The average price calculated from the sample is $9,600. Assume that the population standard deviation of the price is $1,200.
Problem 3 – Consumer behaviour theory (16 marks)
“Consumers are likely to purchase more of a good when the price of the good decreases, and vice versa.”
As stated above, a marketing theory in the field of consumer behaviour believes that an indirect relation is likely to exist between the price and the number of units purchased for most of the goods and services. In examining this, you were commissioned as a student in the Business Data Analysis course to conduct a mock market research surveying a sample of potential customers in purchasing a hypothetical new product. You randomly selected 16 of your fellow students as the potential customers for the product. You questioned them on the number of units they were likely to purchase for a given price that you set. The data you collected from the mock survey are displayed below. You are tasked in performing the relevant inferential analyses on the relation between the two concerned variables by addressing the below set of questions.
|Potential Customer||Set Price|
|Number of units|
Use this info to calculate Sx2, Sy2 and Sxy. Display working.
Problem 4 – Time spent for meeting during Covid (6 marks)
A newspaper report stated that the hours spent by office workers in attending meetings have increased substantially during Covid-19. A study is conducted to examine the amount of time that office workers spend in attending meetings per week during the pandemic. The amount of time that office workers spend in attending meetings per week during Covid is normally distributed with a mean of 9 hours and a standard deviation of 1.5 hours.
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