Gary Reynolds is a sole trader and runs his own business as an architect. Gary tried to expand the business 12 months ago by borrowing $100,000 from Rap Bank, employing two assistant architects and setting up a new office on Mitchell Street, Darwin. Gary now finds that his operational costs and debts are much higher than the revenue coming in from the architecture services he provides. A number of creditors are now pressing Gary for payment, including the landlord who wants to repossess the Mitchell St office because of unpaid rent. These creditors cannot all be paid within contractual terms. Gary, a single father, owns a house which is mortgaged to Rap Bank and various other assets such as two cars and some cash in his bank account. Explain how Gary’s situation might be different if he was a director of a company (eg, ‘GR Architecture Pty Ltd’), instead of being a sole trader. Describe the advantages and disadvantages of establishing a company?

Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation. Centerville is located at (12,0) in the xy-plane, Springfield is at (0,9), and Shelbyville is at (0,−9). The cable runs from Centerville to some point (x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.

To solve this problem we need to minimize the following function of

We find that f(x) has a critical number at x=

To verify that f(x) has a minimum at this critical number we compute the second derivative f''(x) and find that its value at the critical number is  , a positive number.
Thus the minimum length of cable needed is

lem Statement: A sample of 55 students is selected. Data is collected on the students’ GPA, the # of hours studying per week, the # of hours sleeping per night and gender.

Divide the sample into two samples based on gender (Females versus Males). Calculate the statistics for all variables and answer the following questions:

a) Decide at the level of significance of 5% if there is any difference between the average GPA of females and males.

b) Decide at the level of significance of 5% if there is any difference between the average # of hours studying per week of females and males.

c) Decide at the level of significance of 5% if there is any difference between the average # of hours sleeping per night of females and males.

Show all your work on the Excel file and upload the excel file on D2L by due date.

Question: Please open “PERFORMANCE” data. Data is about a survey result of manager who is planning to make a research on influence of competence and motivation on employees’ performance. However; he suspects whether there is a multicollinearity or not in his regression model he is planning to construct and he requested your help. Please support him with implementing multi collinearity analysis and report your findings. Your report must contain scatter plot matrix, correlation matrix, and a regression output including the VIF values. (Please perform it on spss)

Part 2 Please open “PERFORMANCE” data. Data is about a survey result of manager who is planning to make a research on influence of competence and motivation on employees’ performance. However; he suspects whether there is a multicollinearity or not in his regression model he is planning to construct and he requested your help. Please support him with implementing multi collinearity analysis and report your findings. Your report must contain scatter plot matrix, correlation matrix, and a regression output including the VIF values.

Your measure of intelligence test booklet says that X= 100 (SD = 15). Using that information, match the following terms with its numerical value. Match

Mean _____ 1. 55 - 145

68% sure the true scores lies in the range of ___________ 2. 100

standard deviation _________ 3. 70 - 130

99% sure the true scores lies in the range of ________ 4. 85 - 115

95 % sure the true scores lies in the range of ________ 5. 15

Given a normal distribution with µ = 47 and σ = 6, what is the probability that:

X < 39 or X > 44

X is between 37 and 46

7% of the values are less than what X value.

Between what two X values (symmetrically distributed around the mean) are 70% of the values?

During the holiday season, shoppers were asked to estimate how much money they spent on gifts for themselves. Raw data is given below. Are the reported amounts significantly less than the actual amounts as determined from the receipts?

1) Write Ho (null) and H1 (alternative); indicate which is being tested.

2) Perform the statistical test ad write answer to the original question as a statement related to the original query

2) Construct a 99% confidence interval estimate of the mean difference between reported amounts and actual amounts . Interpret the resulting confidence interval, does it contain 0?

1. In excel, list the values of your bill for the last 12 months on one column.
2. Find the sample mean and sample standard deviation of your data.
3. Pick three bills from the last 12 months and change the values into z-scores. What does the z-score tell you about that particular month?
4. Between what two values would be considered a normal bill? Remember, being within 2 Standard Deviations is considered normal.
5. Are any of your bills in the last 12 months unusual? Very unusual?
6. Are there times when you would accept an "unusual" bill? Explain.

Electric bill-

10/5- 99.80

11/5- 80.80

12/5- 92.80

1/5- 94.00

2/5- 100.48

3/5- 98.40

4/5- 88.78

6/5- 138.88

7/5- 160.88

8/5- 140.38

9/5- 124.20

10/5- 98.56