Five years ago, a company was considering the purchase of 65 new diesel trucks that were 14.73% more fuel-efficient than the ones the firm is now using. The company uses an average of 10 million gallons of diesel fuel per year at a price of $1.25 per gallon. If the company manages to save on fuel costs, it will save $1.875 million per year (1.5 million gallons at $1.25 per gallon). On this basis, fuel efficiency would save more money as the price of diesel fuel rises (at $1.35 per gallon, the firm would save $2.025 million in total if he buys the new trucks).
Consider two possible forecasts, each of which has an equal chance of being realized. Under assumption #1, diesel prices will stay relatively low; under assumption #2, diesel prices will rise considerably. The 65 new trucks will cost the firm $5 million. Depreciation will be 25.44% in year 1, 38.22% in year 2, and 36.45% in year 3. The firm is in a 39% income tax bracket and uses a 11% cost of capital for cash flow valuation purposes. Interest on debt is ignored. In addition, consider the following forecasts:
Forecast for assumption #1 (low fuel prices):
|
Price of Diesel Fuel per Gallon |
|||
|
Prob. (same for each year) |
Year 1 |
Year 2 |
Year 3 |
|
0.1 |
$0.8 |
$0.89 |
$1.02 |
|
0.2 |
$1.01 |
$1.1 |
$1.11 |
|
0.3 |
$1.1 |
$1.21 |
$1.31 |
|
0.2 |
$1.29 |
$1.47 |
$1.45 |
|
0.2 |
$1.4 |
$1.54 |
$1.61 |
|
Forecast for assumption #2 (high fuel prices): |
|||
|
Price of Diesel Fuel per Gallon |
|||
|
Prob. (same for each year) |
Year 1 |
Year 2 |
Year 3 |
|
0.1 |
$1.22 |
$1.53 |
$1.71 |
|
0.3 |
$1.33 |
$1.71 |
$2 |
|
0.4 |
$1.8 |
$2.32 |
$2.52 |
|
0.2 |
$2.2 |
$2.51 |
$2.81 |
Required: Calculate the percentage change on the basis that an increase would take place from the NPV under assumption #1 to the probability-weighted (expected) NPV.
Answer% Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places (for example: 28.31%).
Further Information (solution steps):
In: Finance
Operating Section of Statement of Cash Flows (Indirect
Method)
Assume following are the income statement and balance sheet for
Nike for the year ended May 31, 2012, and a forecasted income
statement and balance sheet for 2013.
| Income Statement | ||
|---|---|---|
| ($ millions) | 2012 actual | 2013 Est. |
| Revenues | $ 18,627.0 | $ 21,253.0 |
| Cost of sales | 10,239.6 | 11,689.0 |
| Gross margin | 8,387.4 | 9,564.0 |
| Selling and administrative expense | 5,953.7 | 6,801.0 |
| Operating profit | 2,433.7 | 2,763.0 |
| Interest income, net | 77.1 | 77.1 |
| Other (expense) income, net | (7.9) | (7.9) |
| Income before income taxes | 2,502.9 | 2,832.2 |
| Income taxes | 619.5 | 684.0 |
| Net income | $ 1,883.4 | $ 2,148.2 |
| Balance Sheet | ||
|---|---|---|
| ($ millions) | 2012 actual | 2013 Est. |
| Assets | ||
| Cash and equivalents | $ 2,162.9 | $ 3,355.4 |
| Short-term investments | 642.2 | 642.2 |
| Accounts receivable, net | 2,759.3 | 3,188.0 |
| Inventories | 2,438.4 | 2,740.0 |
| Deferred income taxes | 227.2 | 259.0 |
| Prepaid expenses and other current assets | 609.3 | 680.0 |
| Total current assets | 8,839.3 | 10,864.6 |
| Property, plant and equipment* | 4,103.0 | 4,613.0 |
| Accumulated depreciation | (2,211.9) | (2,556.9) |
| Property, plant and equipment, net | 1,891.1 | 2,056.1 |
| Goodwill and other current assets | 1,191.9 | 1,152.9 |
| Deferred income taxes and other assets | 520.4 | 594.0 |
| Total Assets | $ 12,442.7 | $ 14,667.6 |
| Liabilities and Equity | ||
| Current portion of long-term debt | $ 6.3 | $ 31.3 |
| Notes payable | 177.7 | 107.7 |
| Accounts payable | 1,287.6 | 1,488.0 |
| Accrued liabilities | 1,761.9 | 2,027.0 |
| Income taxes payable | 88.0 | 140.0 |
| Total current liabilities | 3,321.5 | 3,794.0 |
| Long-term debt | 441.1 | 408.8 |
| Deferred income taxes and other liabilities | 854.5 | 976.0 |
| Total liabilities | 4,617.1 | 5,178.8 |
| Redeemable preferred stock | 0.3 | 0.3 |
| Common stock | 2.8 | 2.8 |
| Capital in excess of stated value | 2,497.8 | 2,497.8 |
| Accumulated other comprehensive income | 251.4 | 251.4 |
| Retained earnings | 5,073.3 | 6,736.5 |
| Stockholders' equity | 7,825.6 | 9,488.8 |
| Total liabilities and equity | $ 12,442.7 | $ 14,667.6 |
* Gross property, plant and equipment and accumulated
depreciation are inserted in the balance sheet; both are taken from
footnotes to the financial statements.
Prepare the net cash flows from operating activities section of a
forecasted statement of cash flows for 2013 using the indirect
method. Treat current and noncurrent deferred tax assets and
liabilities as operating. Operating expenses (such as Cost of sales
and Selling and administrative expense) for 2013 include estimated
depreciation expense of $309 million and amortization expense of
$39 million. Estimated 2013 retained earnings includes dividends of
$467 million.
Enter answers using one decimal place as shown in the above financial statements.
Use negative signs with answers to show a decrease in cash.
| Nike,
Inc. STATEMENT OF CASH FLOWS ($ MILLIONS) Forecasted FOR YEAR ENDED May 31, 2013 |
|
|---|---|
| Net income | $Answer |
| Add (Deduct) Items to Convert Net Income to Cash Basis | |
| Depreciation | Answer |
| Amortization | Answer |
| Accounts receivable | Answer |
| Inventories | Answer |
| Deferred Income taxes | Answer |
| Prepaid expenses and other current assets | Answer |
| Deferred income taxes and other assets | Answer |
| Accounts payable | Answer |
| Accrued liabilities | Answer |
| Income taxes payable | Answer |
| Deferred income taxes and other liabilities | Answer |
| Net cash flow from operating activities | $Answer |
In: Accounting
Question 1 (1 point)
Airline companies recognize that empty seats represent lost revenues that can never be recovered. To avoid losing revenues, the companies often book more passengers than there are available seats. Then, when a flight experiences fewer no-shows than expected, some passengers are 'bumped' from their flights (are denied boarding). Incentives are provided to encourage passengers to give up their reserved seat voluntarily, but occasionally some passengers are involuntarily bumped from the flight. Obviously, these incidents can reflect poorly on customer satisfaction. Suppose Southwest Airlines would like to estimate the true proportion of involuntarily bumped passengers across all domestic flights in the industry. In a pilot sample of 863 domestic passengers, 259 were involuntarily bumped. What is the estimate of the population proportion and what is the standard error of this estimate?
Question 1 options:
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Question 2 (1 point)
Approximately 43.73% of all businesses are owned by women. If you take a sample of 180 businesses in Michigan, what is the probability that less than 45.32% of them would be owned by women?
Question 2 options:
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Question 3 (1 point)
Fill in the blank. In a drive thru performance study, the average service time for McDonald's is 217.32 seconds with a standard deviation of 8.5 seconds. A random sample of 62 times is taken. There is a 26% chance that the average drive-thru service time is greater than ________ seconds.
Question 3 options:
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Question 4 (1 point)
Experimenters injected a growth hormone gene into thousands of carp eggs. Of the 289 carp that grew from these eggs, 23 incorporated the gene into their DNA (Science News, May 20, 1989). With a confidence of 90%, what is the margin of error for the proportion of all carp that would incorporate the gene into their DNA?
Question 4 options:
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Question 5 (1 point)
You are interested in getting an investment portfolio started with any extra money you make from your part time job while also going to school. While flipping through the latest edition of Money magazine, you read an article that of a survey of magazine subscribers, 179 were randomly selected and analyzed. A 99% confidence interval was constructed for the proportion of all subscribers who made money in the previous year in their investments, which was ( 0.7216 , 0.8762 ). What is the correct interpretation of this confidence interval?
Question 5 options:
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In: Statistics and Probability
| Kerry Manufacturing Company is a German subsidiary of a U.S. company. Kerry records its operations | |||||||
| and prepares financial statements in euros. However, its functional currency is the British pound. | |||||||
| Kerry was organized and acquired by the U.S. company on June 1, 20X4. The cumulative translation | |||||||
| adjustment as of December 31, 20X6, was $79,860. The value of the subsidiary's retained earnings expressed | |||||||
| in British pounds and U.S. dollars as of December 31, 20X7, was 365,000 pounds and $618,000, respectively. | |||||||
| On March 1, 20X7, Kerry declared a dividend of 120,000 euros. The trial balance of Kerry in euros as of | |||||||
| December 31, 20X7, is as follows: | |||||||
| Debit | Credit | ||||||
| Cash | 240,000 | ||||||
| Accounts Receivable (net) | 2,760,000 | ||||||
| Inventory (at cost) | 3,720,000 | ||||||
| Marketable Securities (at cost) | 2,040,000 | ||||||
| Prepaid Insurance | 210,000 | ||||||
| Depreciable Assets | 8,730,000 | ||||||
| Accumulated Depreciation | 1,417,000 | ||||||
| Cost of Goods Sold | 17,697,000 | ||||||
| Selling, General, and | |||||||
| Administrative Expense | 4,762,000 | ||||||
| Sales Revenue | 26,430,000 | ||||||
| Investment Income | 180,000 | ||||||
| Accounts Payable | 2,120,000 | ||||||
| Unearned Sales Revenue | 960,000 | ||||||
| Loans and Mortgage Payable | 5,872,000 | ||||||
| Common Stock | 1,500,000 | ||||||
| Paid-in Capital in Excess of Par | 210,000 | ||||||
| Retained Earnings | 1,470,000 | ||||||
| Total | 40,159,000 | 40,159,000 | |||||
| The marketable securities were acquired on November 1, 20X6, and the prepaid insurance was acquired on | |||||||
| December 1, 20X7. The cost of goods sold and the ending inventory are calculated by the weighted-average | |||||||
| method. | |||||||
| The following items are measured in pound at the December 31, 20x7. | |||||||
| Euros | Pounds | ||||||
| Accumulated depreciation | |||||||
| Depreciable Assets | 8,730,000 | 2,671,380 | |||||
| Cost of Goods Sold | 17,697,000 | 5,262,294 | |||||
| Selling, General, Admin. Expense | 4,762,000 | 1,415,886 | |||||
| Accumulated Depreciation | 1,417,000 | 773,915 | |||||
| Sales Revenue | 26,430,000 | 7,866,030 | |||||
| On November 1, 20X6, Kerry received a customer prepayment valued at 3,000,000 euros. On February 1, | 3000000 | ||||||
| 20X7, 2,040,000 euros of the prepayment was earned. The balance remains unearned as of December 31, | 2040000 | ||||||
| 20X7. | 960000 | ||||||
| Relevant exchange rates are as follows: | |||||||
| Pounds/Euro | $/Pound | ||||||
| June 1, 20X4 | 0.31 | $1.60 | |||||
| March 1, 20X6 | 0.3 | $1.64 | |||||
| November 1, 20X6 | 0.305 | $1.65 | |||||
| December 31, 20X6 | 0.31 | $1.68 | |||||
| February 1, 20X7 | 0.302 | $1.67 | |||||
| March 1, 20X7 | 0.3 | $1.66 | |||||
| December 1, 20X7 | 0.29 | $1.64 | |||||
| December 31, 20X7 | 0.288 | $1.64 | |||||
| 20X7 average | 0.297 | $1.66 | |||||
| Required: | |||||||
| Prepare a remeasured and translated trial balance of the Kerry Manufacturing | |||||||
| Company as of December 31, 20X7. | |||||||
| ANS: | |||||||
| Kerry Manufacturing Company | |||||||
| Trial Balance Translation | |||||||
| December 31, 20X7 | |||||||
| Relevant | Relevant | ||||||
| Exchange | Exchange | ||||||
| Balance in | Rate | Balance in | Rate | Balance in | |||
| Account | Euros | (Pds/Euros) | Pounds | ($/Pds) | Dollars | ||
| Cash | 240,000 | ||||||
| Accounts Receivable (net) | 2,760,000 | ||||||
| Inventory (at cost) | 3,720,000 | ||||||
| Marketable Securities (at cost) | 2,040,000 | ||||||
| Prepaid Insurance | 210,000 | ||||||
| Depreciable Assets | 8,730,000 | ||||||
| Cost of Goods Sold | 17,697,000 | ||||||
| Selling, General, Admin. Expense | 4,762,000 | ||||||
| Exchange Loss | |||||||
| Total Debits | 40,159,000 | 12,183,001 | 20,117,316 | ||||
| Accumulated Depreciation | 1,417,000 | ||||||
| Sales Revenue | 26,430,000 | ||||||
| Investment Income | 180,000 | ||||||
| Accounts Payable | 2,120,000 | ||||||
| Unearned Sales Revenue | 960,000 | ||||||
| Loans and Mortgage Payable | 5,872,000 | ||||||
| Common Stock | 1,500,000 | ||||||
| Paid-in Capital in Excess of Par | 210,000 | ||||||
| Retained Earnings | 1,470,000 | ||||||
| Cumulative Translation | |||||||
| Adjustment | 0 | -19,392 | |||||
| Total Credits | 40,159,000 | 12,183,001 | 20,117,316 | ||||
In: Accounting
In: Finance
In: Finance
INSTRUCTIONS: I HAVE ALREADY ANSWERED QUESTION 1 AND 2. I NEED ASSISTANCE WITH QUESTIONS 3 AND 4. I HAVE FILLED OUT THE PERCENTAGE CHANGE FOR QUESTION 3, AND NEED HELP ON CALCULATING THE OPERATING, INVESTING, AND FINANCIAL SECTIONS. AS WELL AS, THE EQUATIONS FOR QUESTION 4. IF YOU CAN ANSWER QUESTIONS 3 & 4 I WILL AWARD CREDIT.
Question 1: Common size for income statement
Income Statement (Common Size) :
Consolidated Income Statement
|
2011 |
% |
2010 |
% |
|||
|
Revenue |
$19,176.1 |
$18,627.0 |
100 |
|||
|
Cost of sales |
( 10,571.7) |
10571.7 / 19176.1 x 100 = 55.13% |
( 10,239.6 ) |
54.97 |
||
|
Gross Profit |
8,604.4 |
8604.4 / 19176.10 = 44.87% |
8,387.4 |
45.03 |
||
|
Selling and administrative expenses |
( 6,149.6) |
6149.6 / 19176.1 = 32.07% |
( 5,953.7) |
0.00 |
||
|
Restructuring charges |
( 195.0) |
195 / 19176.1 = 1.017% |
0.0 |
31.96 |
||
|
Goodwill impairment |
( 199.3) |
199.3 / 19176.1 = 1.04% |
0.0 |
0.00 |
||
|
Intangible and other asset impairment |
( 202.0) |
202 / 19176.1 = 1.053% |
0.0 |
0.00 |
||
|
Other income (expenses) |
88.5 |
88.5 / 19176.1 = 0.46% |
( 7.9 ) |
0.04 |
||
|
Operating Income |
$ 1,947.0 |
|
$ 2,425.8 |
13.02 |
||
|
Interest and other income |
49.7 |
|
115.8 |
0.62 |
||
|
Interest expense |
( 40.2) |
|
( 38.7) |
0.21 |
||
|
Income before income taxes |
$ 1,956.5 |
|
$ 2,502.9 |
13.44 |
||
|
Provision for income taxes |
( 469.8) |
|
( 619.8) |
3.33 |
||
|
Net Income |
$ 1,486.7 |
1486.7 / 19176.1 = 7.75% |
$ 1,883.4 |
10.11 |
Gross margin Ratio: measures the gross profit margin on total net sales made by the company. Gross profit sales- cost of goods sold. The ratio measures the efficiency of the company’s operations. When everything is normal the gross margin ratio should reaming unchanged irrespective of the level of production of sales. An increase or decrease in the ratio could be due to the increase/decrease in selling price per unit or decrease/increase in direct variable cost per unit. The ratio for the company has reduced to 44.87% in 2011 from 45.03 in 2010 due to which the net income is lower in current year in spite of increase in revenue.
Operating income has reduced to 10.15 in 2015 from 13.02% in 2010 due to new expenditure on account of restricting charges and impairment expenses. This has also led to the decrease in net income percentage to 7.755% in 2011 from 10.11% in 2010.
Question 2: Comparative Analysis for balance sheet:
|
2011 |
2010 |
Difference |
% changed |
|
|
ASSETS: |
||||
|
Current Assets |
||||
|
Cash and equivalents |
$ 2,291.1 |
$ 2,133.9 |
157.2 |
7 |
|
Short-term investments |
1,164.2 |
642.2 |
522 |
81 |
|
Account receivable |
2,883.9 |
2,795.3 |
-88.6 |
-3 |
|
Inventory |
2,357.0 |
2,438.4 |
81.4 |
3 |
|
Prepaid expenses and other assets |
765.6 |
602.3 |
163.3 |
27 |
|
Deferred income taxes, net |
272.4 |
227.2 |
45.2 |
20 |
|
Total Current Assets |
$ 9,734.0 |
$ 8,839.3 |
0 |
|
|
Property and equipment, gross |
4,255.7 |
4,103.0 |
152.7 |
4 |
|
Accumulated depreciation |
(2,221.9) |
(2,298.0) |
76.1 |
-3 |
|
Property and equipment, net |
$ 1,957.7 |
$ 1,891.1 |
66.6 |
4 |
|
Identifiable intangible assets |
467.4 |
743.1 |
-275.7 |
-37 |
|
Good will |
193.5 |
448.8 |
255.3 |
57 |
|
Deferred income taxes and other assets |
897.0 |
520.4 |
376.6 |
72 |
|
Total Assets |
$13,249.6 |
$12,442.7 |
806.9 |
6 |
|
Liabilities and Stockholders’ Equity |
||||
|
Current Liability : |
||||
|
Current portion of long-term debt |
$ 32.0 |
$ 6.3 |
25.7 |
408 |
|
Note Payable |
342.9 |
177.7 |
165.2 |
93 |
|
Account Payable |
1,031.9 |
1,287.6 |
-255.7 |
-20 |
|
Accrued liabilities |
1,783.9 |
1,761.9 |
22 |
1 |
|
Income taxes payable |
86.3 |
88.0 |
-1.7 |
-2 |
|
Total Current Liabilities |
$ 3,277.0 |
$ 3,321.5 |
0 |
|
|
Long term debt |
437.2 |
441.1 |
-3.9 |
-1 |
|
Deferred taxes and other long-term liabilities |
842.0 |
854.5 |
-12.5 |
-1 |
|
Total Liabilities |
$ 4,556.2 |
$ 4,617.1 |
0 |
|
|
Redeemable preferred stock |
$ 0.3 |
$ 0.3 |
0 |
0 |
|
Common Shareholders’ Equity |
||||
|
Common stock |
2.8 |
2.8 |
0 |
0 |
|
Capital in excess of stated value |
$ 2,781.4 |
$ 2,497.8 |
-283.6 |
11 |
|
Retained earnings |
5,451.4 |
5,073.3 |
378.1 |
7 |
|
Accumulated other comprehensive income |
367.5 |
251.4 |
116.1 |
46 |
|
Total Common Shareholders’ Equity |
$ 8,693.1 |
$ 7,825.3 |
867.8 |
11 |
|
Total Liabilities and Shareholders’ Equity |
$13,249.6 |
$12,442.7 |
806.9 |
6 |
Question 3 : Please create a statement of cash flow with indirect method
Statement of Cash Flow with Indirect method
|
2011 |
2010 |
Difference |
Operating |
Investing |
Financing |
|
|
ASSETS: |
||||||
|
Current Assets |
||||||
|
Cash and equivalents |
$ 2,291.1 |
$ 2,133.9 |
157.2 |
|||
|
Short-term investments |
1,164.2 |
642.2 |
522 |
|||
|
Account receivable |
2,883.9 |
2,795.3 |
-88.6 |
|||
|
Inventory |
2,357.0 |
2,438.4 |
81.4 |
|||
|
Prepaid expenses and other assets |
765.6 |
602.3 |
163.3 |
|||
|
Deferred income taxes, net |
272.4 |
227.2 |
45.2 |
|||
|
Total Current Assets |
$ 9,734.0 |
$ 8,839.3 |
||||
|
Property and equipment, gross |
4,255.7 |
4,103.0 |
152.7 |
|||
|
Accumulated depreciation |
(2,221.9) |
(2,298.0) |
76.1 |
|||
|
Property and equipment, net |
$ 1,957.7 |
$ 1,891.1 |
66.6 |
|||
|
Identifiable intangible assets |
467.4 |
743.1 |
-275.7 |
|||
|
Good will |
193.5 |
448.8 |
255.3 |
|||
|
Deferred income taxes and other assets |
897.0 |
520.4 |
376.6 |
|||
|
Total Assets |
$13,249.6 |
$12,442.7 |
806.9 |
|||
|
Liabilities and Stockholders’ Equity |
||||||
|
Current Liability : |
||||||
|
Current portion of long-term debt |
$ 32.0 |
$ 6.3 |
25.7 |
|||
|
Note Payable |
342.9 |
177.7 |
165.2 |
|||
|
Account Payable |
1,031.9 |
1,287.6 |
-255.7 |
|||
|
Accrued liabilities |
1,783.9 |
1,761.9 |
22 |
|||
|
Income taxes payable |
86.3 |
88.0 |
-1.7 |
|||
|
Total Current Liabilities |
$ 3,277.0 |
$ 3,321.5 |
||||
|
Long term debt |
437.2 |
441.1 |
-3.9 |
|||
|
Deferred taxes and other long-term liabilities |
842.0 |
854.5 |
-12.5 |
|||
|
Total Liabilities |
$ 4,556.2 |
$ 4,617.1 |
||||
|
Redeemable preferred stock |
$ 0.3 |
$ 0.3 |
0 |
|||
|
Common Shareholders’ Equity |
||||||
|
Common stock |
2.8 |
2.8 |
0 |
|||
|
Capital in excess of stated value |
$ 2,781.4 |
$ 2,497.8 |
-283.6 |
|||
|
Retained earnings |
5,451.4 |
5,073.3 |
378.1 |
|||
|
Accumulated other comprehensive income |
367.5 |
251.4 |
116.1 |
|||
|
Total Common Shareholders’ Equity |
$ 8,693.1 |
$ 7,825.3 |
867.8 |
|||
|
Total Liabilities and Shareholders’ Equity |
$13,249.6 |
$12,442.7 |
806.9 |
Answer:
Net income for 2011 is $ 1,486.7 since the Intangible and other asset impairment was negative it decreased the Net Income from $1,486.7 to $1,284.70
CASH FLOW FROM OPERATING ACTIVITIES:
Net Income 2011 $ 1,486.7
+ Depreciation, Amortization or Depletion (202.00)
+Accounts Receivable -88.6
+Inventory Decrease 81.4
Prepaid Expense increase 163.3
Accounts Payable Decrease -255.7
Income Tax payable decrease 1.7
CASH FLOW FROM INVESTING ACTIVITIES:
+ sell Long-term assets for cash
- buy (construct) Long-term assets for cash
= Cash Flow from Investing Activities
CASH FLOW FROM FINANCING ACTIVITIES:
+ Stock issued for cash
+ Cash borrowed with loans and bonds
- Treasury stock repurchased for cash
- Cash used to repay loans and bonds
- Cash dividends paid
=Cash Flow from Financing Activities
Total Cash Flow (Operating, Investing, Financing)
+ Beginning Cash
= Ending Cash
Question 4:
Ration Analysis:
Return on Asset
Debt to assets ratio
Profit margin
Account receivable turnover & accounting receivable turnover
Inventory turnover & days of inventory turnover
In: Finance
1. In this problem, assume that the distribution of differences
is approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Suppose that at five weather stations on Trail Ridge Road in Rocky
Mountain National Park, the peak wind gusts (in miles per hour) for
January and April are recorded below.
| Wilderness District | 1 | 2 | 3 | 4 | 5 |
| January | 139 | 120 | 126 | 64 | 78 |
| April | 101 | 110 | 108 | 88 | 61 |
Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. Solve the problem using the critical region method of testing. (Let d = January − April. Round your answers to three decimal places.)
| test statistic | = | |
| critical value | = |
Interpret your conclusion in the context of the application.
Reject the null hypothesis, there is sufficient evidence to claim average peak wind gusts are higher in January.
Fail to reject the null hypothesis, there is sufficient evidence to claim average peak wind gusts are higher in January.
Fail to reject the null hypothesis, there is insufficient evidence to claim average peak wind gusts are higher in January.
Reject the null hypothesis, there is insufficient evidence to claim average peak wind gusts are higher in January.
Compare your conclusion with the conclusion obtained by using the
P-value method. Are they the same?
We reject the null hypothesis using the critical region method, but fail to reject using the P-value method.
We reject the null hypothesis using the P-value method, but fail to reject using the critical region method.
The conclusions obtained by using both methods are the same.
2.
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml).
| 91 | 86 | 81 | 107 | 99 | 108 | 86 | 88 |
The sample mean is x ≈ 93.3. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use α = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses. Will you use a
left-tailed, right-tailed, or two-tailed test?
H0: μ > 85; H1: μ = 85; right-tailed
H0: μ = 85; H1: μ > 85; right-tailed
H0: μ = 85; H1: μ ≠ 85; two-tailed
H0: μ = 85; H1: μ < 85; left-tailed
(b) What sampling distribution will you use? Explain the rationale
for your choice of sampling distribution.
The standard normal, since we assume that x has a normal distribution with unknown σ.
The Student's t, since we assume that x has a normal distribution with known σ.
The standard normal, since we assume that x has a normal distribution with known σ.
The Student's t, since n is large with unknown σ.
What is the value of the sample test statistic? (Round your answer
to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to
four decimal places.)
Sketch the sampling distribution and show the area corresponding to
the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis? Are the data statistically
significant at level α?
At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) State your conclusion in the context of the application.
There is sufficient evidence at the 0.05 level to conclude that Gentle Ben's glucose is higher than 85 mg/100 ml.
There is insufficient evidence at the 0.05 level to conclude that Gentle Ben's glucose is higher than 85 mg/100 ml.
In: Statistics and Probability
Dan and Cheryl's last name is Taxpayer.
If the Taxpayers have a refund, have the entire amount refunded.
Helpful Hints and Checks
For Schedule D:
Assume the charitable donation of GE stock was to the United Way. It was donated on 3/5/19 and was originally purchased on 4/10/12.
Schedule C:
Use the 2019 tax forms (locate tax forms on www.irs.gov).
General Requirements
For this assignment you will need to submit the following tax forms as a single document:
Refer to the resource, "Tax Rate Schedules 2019 and Other Items," located in the course materials.
Tax Return Check Figures for 2019 Tax Forms - Data Set A
Problem I:7-64
Check Figures for the Various Forms (check figures are not provided for every form):
Form 1040 –
Schedule 1 –
Schedule A –
Schedule C –
Schedule D –
Form 8829 (not required) –
Remember to use the tax forms for the year indicated by your instructor. Points will be deducted for incorrect forms and incorrect sequence. In addition, be sure to submit the tax forms in order as required by the IRS. You will notice a Sequence No. on the top right of each tax return form except for the Form 1040. Form 1040 is the first form in the sequence.
In: Accounting
The U.S. Court of Appeals for the Seventh Circuit has upheld a district court ruling requiring marketers of the “Q-Ray Ionized Bracelet” to give up almost $16 million in net profits as part of a maximum $87 million they must pay in refunds to consumers. In a decision issued on January 3 and written by Chief Judge Frank Easterbrook, the court concluded, “The magistrate judge did not commit a clear error, or abuse his discretion, in concluding that the defendants set out to bilk unsophisticated persons who found themselves in pain from arthritis and other chronic conditions.” The court found that the defendants’ claims about how their product worked, for example, through “ionization” or “enhancing the flow of bio-energy” were “blather.” Judge Easterbrook wrote, “Defendants might as well have said: Beneficent creatures from the 17th Dimension use this bracelet as a beacon to locate people who need pain relief, and whisk them off to their homeworld every night to provide help in ways unknown to our science.” The FTC filed its case in May 2003, alleging that QT Inc., Q-Ray Company, and Bio-Metal, Inc., located in Illinois, and their owner, Que Te Park, also known as Andrew Q. Park, made false and misleading advertising claims that the Q-Ray bracelet provided immediate and significant pain relief and deceptively advertised their refund policy, in violation of Sections 5 and 12 of the FTC Act. In September 2006, the federal district court in Chicago found in favor of the FTC. In November 2006, the court required the defendants to turn over a minimum of $22.5 million in net profits and up to $87 million in refunds to consumers who bought the bracelets between January 1, 2000 and June 30, 2003, when the bracelet was advertised on infomercials and Internet Web sites, and at trade shows. The district court later reduced the minimum disgorgement amount to $15.9 million, which the appellate court has upheld. The appellate court rejected the defendants’ argument that the magistrate judge had held the defendants to too high a standard of proof for their purported therapeutic claims about the bracelet and found that the claims must be based on science. The court found that “proof is what separates an effect new to science from a swindle” and that the defendants “have no proof,” stating that the “tests” the defendants relied on were “bunk.” The court also rejected the defendants’ contention that testimonials could support their claims -- the defendants could not show that the testimonials would not have enjoyed the same pain relief even if they had not worn the bracelet. “That’s why the ‘testimonial’ of someone who keeps elephants off the streets of a large city by snapping his fingers is the basis of a joke rather than proof of cause and effect,” stated the court. The appellate court also rejected the defendants’ argument that because their bracelet conferred a benefit to consumers through its placebo effect, they were vindicated in making their false therapeutic claims. The court held that the Federal Trade Commission Act “lacks an exception for ‘beneficial deceit’.” The court noted, “Deceit such as the tall tales that defendants told about the Q-Ray Ionized Bracelet will lead some consumers to avoid treatments that cost less and do more . . .”. The court also found that the defendants deceived consumers who purchased online and received only a 10-day return period when the infomercials promised a 30-day refund and suggested that consumers purchase online. “The disclosure of this shorter period was buried several clicks away on the website” and did not ameliorate the infomercial time frame upon which “reasonable consumers” could rely, the court stated. The Q-Ray defendants are currently in Chapter 11 bankruptcy in the United States Bankruptcy Court for the Northern District of Illinois.
1. Are not such claims as those at the center of this case so transparent that there is no need for a government agency or court to intervene?
2. Does not the marketplace effectively wee out such frauds?
3. Assume that the defendant had actually conducted scientific studies, which had proved inconclusive. How might the judge have ruled in that situation?
In: Operations Management