2. Use the data in BUSI1013 Bank Dataset.xlsx (Unit 1 Question 2) to answer this question. (4 points for each part; 8 points total)
   
   1. Perform a statistical test to see whether the average loans of customers before the change at the Brock and Chase branch are different.
   2. Construct a 95% confidence interval for the difference of average loans of customers before the change at the Brock and Chase branch.

. Balance sheet format, terminology, and accounting methods. Exhibit 4.4 presents the balance sheet of Paul Loren Company for Years 10 and 9. This balance sheet uses the terminology, format, and accounting methods of U.S. GAAP, and Paul Loren reports results in millions of U.S. dollars. (Adapted from the financial statements of Polo Ralph Lauren.) In addition to the items reported in Paul Loren’s balance sheet, assume the following hypothetical information is available to you: ■ In Year 10 Paul Loren revalued a building with an acquisition cost of $200 million downward, to its current fair value of $182 million. ■ In Year 10 Paul Loren wrote up the value of inventory, with a carrying value of $135 million, to its fair value of $165 million. ■ Included in commitments and contingencies for Year 10 is a lawsuit filed against Paul Loren for breach of contract. Paul Loren estimates the following range of outcomes for this lawsuit: 70% chance of damages of $100 million, 20% chance of damages of $500 million, and 10% chance of damages of $1 billion. a. Prepare a balance sheet for Paul Loren for Year 10, following the format, terminology, and accounting methods required by U.S. GAAP. Ignore any income tax effects of any revisions to reported amounts. b. How, if at all, would your answer to part a differ if Paul Loren used IFRS?

Paul Loren Company Balance Sheets For Years 10 and 9 (amounts in millions of US$) (Problem 32)
Year 10 Year 9
ASSETS

Current Assets

Cash and cash equivalents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 563.1 $ 481.2

Short-term investments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 584.1 338.7

Accounts receivable, net of allowances of $206.1 and $190.9 million . . . 381.9 474.9

Inventories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 504.0 525.1

Deferred tax assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103.0 101.8

Prepaid expenses and other . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139.7 135.0

Total Current Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,275.8 2,056.7

Noncurrent investments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75.5 29.7

Property and equipment, net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 697.2 651.6

Deferred tax assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101.9 102.8

Goodwill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 986.6 966.4

Intangible assets, net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363.2 348.9

Other assets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148.7 200.4

Total Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 4,648.9 $4,356.5

LIABILITIES AND STOCKHOLDERS’ EQUITY

Current Liabilities

Accounts payable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 149.8 $ 165.9

Income tax payable. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37.8 35.9

Accrued expenses and other . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 559.7 472.3

Total Current Liabilities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 747.3 674.1
Long-Term Debt. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 747.3 674.1

Deferred Tax Liabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 282.1 406.4

Other Noncurrent Liabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126.0 154.8

Total Liabilities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,902.7 1,909.4
STOCKHOLDERS’ EQUITY:

Class A common stock, par value $0.01 per share;
75.7 million and 72.3 million shares issued;
56.1 million and 55.9 million shares outstanding . . . . . . . . . . . . . . . . . 0.8 0.7

Class B common stock, par value $0.01 per share;
42.1 million and 43.3 million shares issued and outstanding. . . . . . . . . . 0.4 0.4

Additional paid-in capital. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,243.8 1,108.4

Retained earnings. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,544.9 2,177.5

Treasury stock, Class A, at cost (19.6 million and 16.4 million shares) . . . . (1,197.7) (966.7)

Accumulated other comprehensive income . . . . . . . . . . . . . . . . . . . . . . . 154.0 126.8

Total Stockholders’ Equity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,746.2 2,447.1

Total Liabilities and Stockholders’ Equity . . . . . . . . . . . . . . . . . . . . . . $ 4,648.9 $4,356.5

1. Which of the following is a valid alternative hypothesis for a one-sided hypothesis test about a population proportion p?

Suppose that the market for gourmet deli sandwiches is perfectly competitive and that the supply of workers in this industry is upward-sloping, so that wages increase as industry output increases. Delis in this market face the following total cost:

TC = q³ - 20 q² + 120 q + W

where,

Q = number of sandwiches

W = daily wages paid to workers

The wage, which depends on total industry output, equals: W = 0.3 Nq

where,

N = number of firms.

Assume that the market demand is:

Q^D = 900 - 10 P

1. What is the long-run equilibrium output for each firm?   

2. How much does the long-run equilibrium price change as the number of firms increases?

3. What is the long-run equilibrium number of firms?  

4. What is the total industry output?   

5. What is the long-run equilibrium price?

Suppose that the market for gourmet deli sandwiches is perfectly competitive and that the supply of workers in this industry is upward-sloping, so that wages increase as industry output increases. Delis in this market face the following total cost:

TC = q³ - 10 q² + 60 q + W

where,

Q = number of sandwiches

W = daily wages paid to workers

The wage, which depends on total industry output, equals: W = 0.3 Nq

where,

N = number of firms.

Assume that the market demand is:

Q^D = 900 - 5 P

1. What is the long-run equilibrium output for each firm?   

2. How much does the long-run equilibrium price change as the number of firms increases?

3. What is the long-run equilibrium number of firms?  

4. What is the total industry output?   

5. What is the long-run equilibrium price?

Given the price elasticities and price changes for the following products A–E in the table below, show how much the quantity will change (indicating an increase or decrease) and what effect this will have on total revenue (indicating an increase or decrease). Round your answers to 1 decimal place.

Enter the exponential decay function described in the situation and answer the question asked. You may find using a graphing calculator helpful in solving this problem.

Carbon-14 is a radioactive isotope of carbon that is used to date fossils. There are about 1.5 atoms of carbon-14 for every trillion atoms of carbon in the atmosphere, which known as 1.5 ppt (parts per trillion). Carbon in a living organism has the same concentration as carbon-14. When an organism dies, the carbon-14 content decays at a rate of 11.4% per millennium (1,000 years). Write the equation for carbon-14 concentration (in ppt) as a function of time (in millennia) and determine how old a fossil must be that has a measured concentration of 0.3 ppt. Round your answer to two decimal places.

The exponential decay function is c (t) = _________ .

The fossil is about ________ millennia old.

Please show the steps

1) Radio waves travel at the speed of light, 300,000 km/s. The wavelength of a radio wave received at 100 megahertz is            1) _______

A) 3.0 m.

B) 300 m.

C) 0.3 m.

D) 30 m.

E) none of these

22) Two charged particles repel each other with a force F. If the charge of one of the particles is doubled and the distance between them is also doubled, then the force will be    22) ______

A) F/4.

B) 2 F.

C) F/2.

D) F.

E) none of these

23) Two charged particles attract each other with a force F. If the charges of both particles are doubled, and the distance between them also doubled, then the force of attraction will be            23) ______

A) 2 F.

B) F/4.

C) F.

D) F/2.

E) none of these

1. An investment website can tell what devices are used to access the site. The site managers wonder whether they should enhance the facilities for trading via smartphones so they want to estimate the proportion of users who access the site using smartphones. They draw a random sample of 200 investors from their customers. Suppose that the true proportion of smartphone users is 36%.
   1. What would you expect the shape of the sampling distribution for the sample proportion to be?
      
   2. What should the mean of this sampling distribution be?
      
   3. If the sample size was increased to 500, would either of your answers to parts (a) or (b) change? Explain.
      
   4. What would the standard deviation of the sampling distribution of the proportion of smartphone users be?
      
   5. What is the probability that the sample proportion of smartphone users is above 0.36?
      
   6. What is the probability that the sample proportion of smartphone users is between 0.3 and 0.4?
      
   7. What is the probability that the sample proportion of smartphone users is below 0.28?