Data obtained from the National Center for Health Statistics show that men between the ages of 20 and 29 have a mean height of 69.3 inches, with a standard deviation of 2.9 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.9 inches. The heights (in inches) of 20 randomly selected players are given below.
| 72 | 74 | 71 | 72 | 76 |
| 70 | 77 | 75 | 72 | 72 |
| 77 | 72 | 75 | 70 | 73 |
| 73 | 75 | 73 | 74 | 74 |
Use Minitab Express to perform a Normality Test on this data. Report your answers rounded to three decimal places, where applicable.
a) In the normal probability plot, the data (does / does not) stay relatively close to the reference line.
b) The Anderson-Darling test results in a P-value of . The given data (does /does not) provide significant evidence to claim that it did not come from a normal distribution.
In: Statistics and Probability
1. Given the function M(t) = 2t3 - 3t2 - 36t, find the critical
values and determine, using both the second derivative test and a
sign chart, the nature of these values.
2. A projectile is launched with a velocity of 22 m/s at 50° to the
ground. Determine its horizontal and vertical velocities.
3. Two trains start from the same point at the same time, one going
east at a rate of 40 km/h and the other going south at 60 km/h, as
shown in the diagram at right. Find the rate at which they are
separating after 1 h of travel.
4. A professional basketball team plays in a stadium that holds
23,000 spectators. With ticket prices at $60, the average
attendance had been 18,000. When ticket prices were lowered to $55,
the average attendance rose to 20,000. Based on this pattern, how
should ticket prices be set to maximize ticket revenue?
5. Corey is asked to find the maximum value of a function. Not
having a complete understanding of the process, Corey decides to
find the derivative of the function, set it equal to zero, and
solve. The resulting value, Corey reasons, will yield the maximum
point. Explain fully why Corey's method is flawed.
6. A 5,000 m_ rectangular area of a field is to be enclosed by a
fence, with a moveable inner fence built across the narrow part of
the field, as shown.The perimeter fence costs $10/m and the inner
fence costs $4/m. Determine the dimensions of the field to minimize
the cost.
7. The following table displays the number of HIV diagnoses per
year in a particular country.
Year 1997 1998 1999 2000 2001 2002 2003 2004 2005
Diagnoses 2512 2343 2230 2113 2178 2495 2496 2538 2518
a. Using Curve Expert or another curve modelling program, determine
an equation that can be used to model this data.
b. Using this model, estimate the number of diagnoses in 1996 and
in 2006.
c. At what rate would the number of diagnoses be changing in
2006?
d. Halfway through 2006, the number of new HIV diagnoses was found
to be 1232. Assuming this rate stays fairly constant for the
remainder of the year, does this new information change the
modelling equation? If so, how would this change your answer to
part (c)? If you were an advocate for furthering HIV and AIDS
research and treatment programs, would you be encouraged or
discouraged by these results?
In: Math
|
Assets at December 31, 2004........................................ |
$152,000 |
||
|
2004 Cash inflows from operating activities.................. |
105,000 |
||
|
2004 Cash outflows from financing activities................ |
(44,000) |
||
|
2004 Cash outflows from investing activities................ |
(84,000) |
||
|
2004 Expenses.............................................................. |
43,000 |
||
|
Equity at December 31, 2003........................................ |
62,000 |
||
|
Liabilities at December 31, 2004................................... |
28,000 |
||
|
2004 Revenues.............................................................. |
135,000 |
||
|
2004 Withdrawals......................................................... |
(30,000) |
||
Using the above information prepare an Income Statement, Statement of Owner's Equity, and Statement of Cash Flows for the Skate and Boards Rental for 2004. Also prepare its Balance Sheet as of December 31, 2004.
In: Accounting
Analysis and Interpretation of Profitability
Balance sheets and income statements for Target Corporation
follow.
| Income Statement | |||
|---|---|---|---|
| For Fiscal Years Ended ($ millions) | 2006 | 2005 | 2004 |
| Sales | $ 51,271 | $ 45,682 | $ 40,928 |
| Credit card revenues | 1,349 | 1,157 | 1,097 |
| Total revenues | 52,620 | 46,839 | 42,025 |
| Cost of sales | 34,927 | 31,445 | 28,389 |
| Selling, general and administrative expenses | 11,185 | 9,797 | 8,657 |
| Credit card expenses | 776 | 737 | 722 |
| Depreciation and amortization | 1,409 | 1,259 | 1,098 |
| Earnings before interest and income taxes | 4,323 | 3,601 | 3,159 |
| Net interest expense | 463 | 570 | 556 |
| Earnings before income taxes | 3,860 | 3,031 | 2,603 |
| Provisions for income taxes | 1,452 | 1,146 | 984 |
| Net earnings | $ 2,408 | $ 1,885 | $ 1,619 |
| Balance Sheet | ||
|---|---|---|
| ($ millions, except footnotes) | January 28, 2006 | January 29, 2005 |
| Assets | ||
| Cash and cash equivalents | $ 1,648 | $ 2,245 |
| Credit card receivables | 5,666 | 5,069 |
| Inventory | 5,838 | 5,384 |
| Other current assets | 1,253 | 1,224 |
| Total current assets | 14,405 | 13,922 |
| Property and equipment | ||
| Land | 4,449 | 3,804 |
| Buildings and improvements | 14,174 | 12,518 |
| Fixtures and equipment | 3,219 | 2,990 |
| Computer hardware and software | 2,214 | 1,998 |
| Construction-in-progress | 1,158 | 962 |
| Accumulated depreciation | (6,176) | (5,412) |
| Property and equipment, net | 19,038 | 16,860 |
| Other noncurrent assets | 1,552 | 1,511 |
| Total assets | $ 34,995 | $ 32,293 |
| Liabilities and shareholders' investment | ||
| Accounts payable | $ 6,268 | $ 5,779 |
| Accrued and other current liabilities | 2,567 | 1,937 |
| Current portion of long-term debt and notes payable | 753 | 504 |
| Total current liabilities | 9,588 | 8,220 |
| Long-term debt | 9,119 | 9,034 |
| Deferred income taxes | 851 | 973 |
| Other noncurrent liabilities | 1,232 | 1,037 |
| Shareholders' investment | ||
| Common stock | 73 | 74 |
| Additional paid-in-capital | 2,121 | 1,810 |
| Retained earnings | 12,013 | 11,148 |
| Accumulated other comprehensive income (loss) | (2) | (3) |
| Total shareholders' investment | 14,205 | 13,029 |
| Total liabilities and shareholders' equity | $ 34,995 | $ 32,293 |
a. Compute ROE for 2006.
Do not round until your final answer. Round answers to two decimal places.
ROE =Answer%
b. Confirm that ROE equals ROE computed using the component measures for profit margin, asset turnover, and financial leverage using: ROE = PM * AT * FL.
Compute the components of ROE.
Do not round until your final answer. Round answers to two decimal places.
PM = Answer%
AT = Answer
FL = Answer
c. Compute adjusted ROA. Assume a tax rate of: 38.3%.
Do not round until your final answer. Round your answer to two
decimal places.
Adjusted ROA =Answer%
In: Accounting
Assume that your uncle holds just one stock, East Coast Bank (ECB), which he thinks has very little risk. You agree that the stock is relatively safe, but you want to demonstrate that his risk would be even lower if he were more diversified. You obtain the following returns data for West Coast Bank (WCB). Both banks have had less variability than most other stocks over the past 5 years.
Year ECB WCB
2004 40.00% 40.00%
2005 - 10.00% 15.00%
2006 35.00% -5.00%
2007 -5.00% -10.00%
2008 15.00% 35.00%
a. What is the expected return and risk of each stock?
b. Measured by the standard deviation of returns, by how much would your uncle's risk have been reduced if he had held a portfolio consisting of 60% in ECB and the remainder in WCB? In other words, what is the difference between portfolio's standard deviation and weighted average of components' standard deviations? (Hint: check the example on page 11-12 on my note).
If this problem can be done using excel, in a way that I can understand the steps I need to take as I go.
In: Finance
In: Operations Management
Identify which error will cause the trial balance to be out of balance.
A $115 cash receipt from a customer in payment of her account posted as a $115 debit to Cash and a $115 credit to Cash.
A $180 cash receipt from a customer in payment of her account posted as a $180 debit to Cash and a $18 credit to Accounts Receivable.
A $74 cash purchase of office supplies posted as a $74 debit to Office Equipment and a $74 credit to Cash.
A $280 cash salary payment posted as a $280 debit to Cash and a $280 credit to Salaries Expense.
An $1,200 prepayment from a customer for services to be rendered in the future was posted as an $1,200 debit to Unearned Revenue and an $1,200 credit to Cash.
In: Accounting
H0: Soap opera acting is the same difficulty as sitcom acting
Ha: Soap opera acting is harder than sitcom acting
Describe what a Type I error would look like in the context of this scenario.
In: Statistics and Probability
|
MARITAL STATUS |
||||||
|
MARRIED |
DIVORCED |
WIDOWED |
SEPARATED |
NEVER MARRIED |
TOTAL |
|
|
VERY HAPPY |
600 |
93 |
63 |
19 |
144 |
919 |
|
PRETTY HAPPY |
720 |
304 |
142 |
51 |
459 |
1676 |
|
NOT TOO HAPPY |
93 |
88 |
51 |
31 |
127 |
390 |
|
TOTAL |
1412 |
485 |
256 |
101 |
730 |
2984 |
In: Statistics and Probability
Between 2006 and 2008, Sony and Toshiba were in a format war in the market for
high-definition optical discs. Sony had developed Blu-ray discs whereas Toshiba
had developed the HD-DVD format. Both producers were manufacturing players
for their own format. However, unless Sony and Toshiba agreed on producing
only one particular format, consumers were holding off their purchases. They
feared, should they buy a player, that they risked having invested in the wrong
format, leaving them unable to play content on high-definition optical discs. Both
producers could choose either format in the production of players. Sony could
produce HD-DVD players; in that case, they would have to pay $20 Billion royalties
per year to Toshiba if they sell any players. Toshiba could produce Blu-ray players;
in that case, they would have to pay $20 Billion royalties per year to Sony if they
sell any players. Assume that, if Sony and Toshiba agree on one format, they
would have a profit of $100 Billion in players each per year before eventual royalty
payments.
(a) What are the components of a strategic game? Model the interaction be-
tween Sony and Toshiba as a strategic game, in which Sony's and Toshiba's
strategies are given by the format of the high-definition disc players they
produce and their preferences are given by their profits after paying for or
receiving royalties.
In: Economics