Problems: (Please show your work and formulas you use for each problem)

A random sample of 4 college students was drawn from a large university. Their ages are 22, 17, 23, and 20 years.

a) Test to determine if we can infer at the 5% significance level that the population mean is not equal to 20.

b) Interpret your conclusion.

Search from library or internet one academic article (written by university teachers) about BDA's conceptual modelling and give summary of the article. (at least 250 words)

“Conceptual Model Development of Big Data Analytics Implementation Assessment Effect on Decision-Making” by Cecilia Adrian, Rusli Abdullah, Rodziah Atan, Yusmadi Yah Jusoh

1. Identify and explain the advantages and disadvantages of virtual teams. Outline the factors required for virtual teams to be successful.

2. Describe the kinds of behaviours that individual team members can engage in that positively impact overall team effectiveness.

3. Describe the kinds of behaviours that individual team members can engage in that negatively impact overall team effectiveness.

4. Outline how you intend to approach participation in your group project, explaining how your plans for participation will likely impact your project team. Include an analysis of your results from the Group/Team Skills activity you completed from the Module 6 reading.

This is Canadian Organizational Questions

Katherine has an estimated Cobb-Douglas utility function of U = q1^0.25q2^0.75 for food, q1, and housing, q2. The price for food is arbitrarily set at $1 per unit and the average monthly rent near the University of Chicago , p2, is a dollar fifty per square foot. Caroline, like the average University of Chicago student spend $750 on food and housing per month.

     (a) Using calculus, solve for Katherine's optimal quantities of housing and food. Provide the marginal utility of income.

     (b) What is Katherine's utility at the optimal bundle?

     (c) Due to panic buying and logistical difficulties due to the coronavirus, suppose the per-unit price of food increases by 25% (p1= $1.25), what is Katherine's new utility facing this price increase?

     (d) How much money would Katherine need to completely offset the harm from the price increase?

     (e) How much money would one have to take from Katherine to harm her as much as the price increase?

1. Objectives:

1) Select a simple random sample by random number table or Excel.

2) Know the sampling distribution of and, and calculate the probabilities by excel.

Q1: The director of personnel for Electronics Associates, Inc (EAI), has been assigned the task of developing a profile of the company’s 250 managers. The characteristics to be identified include the mean annual salary for the managers and the proportion of managers have completed the company’s management training program. Using the 2500 managers as the population for this study. (See data in a file named EAI).

Select a simple random sample of 30 managers from the 2500 EAI managers.

Q2: Business Weej conducted a survey of graduates from 30 top MBA programs (Business-Week, September 22, 2003). On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively. Assume the standard deviation for the male graduates is $40,000, and for the female graduates, it is $25,000.

a. What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000?

b. What is the probability that a simple random sample of 40 female graduates will provide a sample mean within $10,000 of the population mean, $117,000?

c. In which of the preceding two cases, part (a) and part (b), do we have a higher probability of obtaining a sample estimate within $10,000 of the population mean? Comment on the results.

Q3: The Grocery Manufacturers of America reported that 76% of consumers read the ingredients listed on a product’s label. Assume the population proportion p=0.76, and a sample of 400 consumers is selected from the population.

a. Show the sampling distribution of the sample proportion, where is the proportion of the sampled consumers who read the ingredients listed on a product’s label.

b. What is the probability that the sample proportion will be within +- 0.03 of the population proportion?

c. Answer part (b) for a sample of 750 consumers.

Suppose SFU has figured out a way to deliver the lectures all around the world in a way that creates a demand for their lectures because in some way they're better than the lectures that you could get from other universities. They evaluate the demand in Korea and demand in Germany. The demands are as follows:

PK = 5,000 – 0.5QK

PG = 3,000 – 0.5QG

where PK and PG are the prices per course (per student) in Korea and Germany, respectively, and QK and QG are the number of students in Korea and Germany willing to enroll at those prices, respectively.

The cost of online delivery is C = 1,800Q, where Q is the total number of students enrolled (i.e., Q = QK + QG).

But the university probably would get the idea that it's not that difficult to distinguish students in Germany from students in Korea by checking, for instance, their citizenship documents when they register for the course and/or checking the location of their ISP (i.e., the university could solve the identification problem on the group level, i.e., tell whether a student is in Germany or in Korea and the university does not really face an arbitrage problem).

SFU decides to practice the 3rd degree (linear) price discrimination.

6. What price would SFU charge in Germany?

7. What price would SFU charge in Korea?

8. What would be their online enrollment in Korea?

9. What would be their online enrollment in Germany?

10. What would be their total online enrollment?

11. What would be the combined surplus in all the markets? I.e., what is the sum of the consumer surplus in Korea, consumer surplus in Germany, and SFU’s producer surplus from selling the instruction in both countries?

CASE STUDY ----->>> "Sweet Tooth Cupcake and Pastry House

Sweet Tooth has managed the company until now basically running on a single Excel spreadsheet to determine costs, payroll hasn’t been much of an issue because it has run with just the labor of its two original founders, and inventory has been managed by looking at the shelf to know how much is left.

Sales history has been difficult to maintain. The founders know how much money is coming in and how much is going out, but they don’t know which products have been the most successful in terms of profit or sales volume other than by gut feel.

The time for an expansion to a second location and hiring of staff has come. With this expansion there will be additional needs for inventory management, sales tracking by product, location, etc., and payroll tracking.

This application needs to provide support for the following:

1. Know what inventory (separate raw goods and finished products) is on hand at which location.
2. Which inventory needs to be restocked due to quantity and lifespan.
3. Know who has worked which shifts (basic scheduling) and how much they have earned.
4. Sales reports with profit margins indicated, including over time (i.e. by month, quarter, etc.)
5. Reports by quantity sold of items based on date so comparisons can be made to predict demand for holidays, etc.
6. Equipment inventory and maintenance records.
7. Take orders for large events online with customer information for confirmation."

Question

I am working as an analyst, i need to be familiar with the business case and identify 5 questions I need answered from each role within the business that isn’t evident from the case study.

Which of the following statement is NOT true?

a. if  fixed costs exist, the AVC and ATC move away from each other as output decreases

b. diminishing marginal return occurs as more labourers are hired, workers increasingly share the use of other fixed inputs, and so their ability to be increasingly productive is limited.

c. workers  have an incentive to exert higher effort when a wage is equal to the income earned minus $20,000 than when a wage is equal to the income earned minus $10,000

d. strengthening of board’s monitoring the hired managers is a way to minimize the agency costs.

Kyle, a single taxpayer, worked as a free-lance software engineer for the first three months of 2018. During that time, he earned $44,000 of self-employment income. On April 1, 2018, Kyle took a job as a full-time software engineer with one of his former clients, Hoogle Inc. From April through the end of the year, Kyle earned $178,000 in salary.

What amount of FICA taxes (self-employment and employment related) does Kyle owe for the year? (Round your intermediate calculations to the nearest whole dollar amount.)

Self Employement/FICA tax

THIS IS FOR 2018

Kyle, a single taxpayer, worked as a free-lance software engineer for the first three months of 2019. During that time, he earned $84,000 of self-employment income. On April 1, 2019, Kyle took a job as a full-time software engineer with one of his former clients, Hoogle Inc. From April through the end of the year, Kyle earned $174,000 in salary.

What amount of FICA taxes (self-employment and employment related) does Kyle owe for the year? (Round your intermediate calculations to the nearest whole dollar amount.)

Self-employment/FICA tax: