The following data represent the number of touchdown passes thrown by a particular quarterback during his first 18 seasons. Verify that Chebyshev's Theorem holds true by determining the percent of observations that fall within
plus or minus±one,
two, and three standard deviations from the mean.
|
00 |
1919 |
1616 |
3333 |
4040 |
3737 |
3131 |
3333 |
2222 |
|
|
2020 |
3434 |
2727 |
3434 |
3232 |
1717 |
1919 |
2929 |
2525 |
What is the mean of the data set?
x overbar=
(Type an integer or decimal rounded to two decimal places as needed.)
What is the standard deviation of the data set?
s=
(Round to two decimal places as needed.)
Calculate the interval
x overbarxplus or minus±s.
x overbarxplus or minus±=( , )
(Round to two decimal places as needed. Type your answer in interval notation.)
What percentage of the data values fall within the interval
x overbarxplus or minus±s?
The percentage of data values that fall within the interval is
nothing%
(Round to the nearest percent as needed.)
Calculate the interval
x overbarxplus or minus±2s.
x overbarxplus or minus±2sequals=left parenthesis nothing comma nothing right parenthesis,
(Round to two decimal places as needed. Type your answer in interval notation.)
What percentage of the data values fall within the interval
x overbarxplus or minus±2s?
That percentage of data values that fall within the interval is
nothing%
(Round to the nearest percent as needed.)
Calculate the interval
x overbarxplus or minus±3s.
x overbarxplus or minus±3sequals=left parenthesis nothing comma nothing right parenthesis,
(Round to two decimal places as needed. Type your answer in interval notation.)
What percentage of the data values fall within the interval
x overbarxplus or minus±3s?
That percentage of data values that fall within the interval is
nothing%
(Round to the nearest percent as needed.)
Do these percentages agree with Chebyshev's Theorem?
A.The percentage for
x overbarxplus or minus±2s
does not agree with Chebyshev's Theorem.
B.
All the percentages agree with Chebyshev's Theorem.
C.The percentage for
x overbarxplus or minus±3s
does not agree with Chebyshev's Theorem.
D.
None of the percentages agree with Chebyshev's Theorem.
In: Statistics and Probability
Workers are compensated by firms with “benefits” in addition to wages and salaries. The most prominent benefit offered by many firms is health insurance. Suppose that in 2000, workers at one steel plant were paid $35 per hour and in addition received health benefits at the rate of $7 per hour. Also suppose that by 2010 workers at that plant were paid $36.75 per hour but received $31.5 in health insurance benefits.
a. By what percentage did total compensation (wages plus benefits) change at this plant from 2000 to 2010?
total compensation increased or decreased(choose one) by _______ percent
What was the approximate average annual percentage change in total compensation?
b. By what percentage did wages change at this plant from 2000 to 2010?
wages increased or decresed (choose one) by ________ percent
What was the approximate average annual percentage change in wages?
c. If workers value a dollar of health benefits as much as they value a dollar of wages, by what total percentage will they feel that their incomes have risen over this time period?
What if they only consider wages when calculating their incomes?
incomes increased or decreased (choose one) by _____ percent
d. Is it possible for workers to feel as though their wages are stagnating even if total compensation is rising?
In: Economics
Suppose that Weston (WN) currently is selling at $80 per share. You buy 250 shares, using $15,000 of your own money and borrowing the remainder of the pur- chase price from your broker. The rate on the margin loan is 8%.
a. What is the percentage increase in the net worth of your brokerage account if the price of WN immedi- ately changes to (i) $88; (ii) $80; (iii) $72? What is the relationship between your percentage return and the percentage change in the price of WN?
b. If the minimum margin is 30%, how low can WN's price fall before you get a margin call?
c. How would your answer to (b) change if you had fi- nanced the initial purchase with only $10,000 of your own money?
d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if WN is selling after one year at (i) $88; (ii) $80; (iii) $72? What is the relationship be- tween your percentage return and the percentage change in the price of WN? Assume that WN pays no dividends.
e. Continue to assume that a year has passed. How low can WN price fall before you get a margin call?
In: Finance
A condensed balance sheet for Simultech Corporation and a partially completed vertical analysis are presented below.
Required:
1. Complete the vertical analysis by computing
each missing line item as a percentage of total assets.
2-a. What percentage of Simultech’s total assets
relate to inventory?
2-b. What percentage of Simultech’s total assets
relate to property and equipment?
2-c. Which of these two asset groups is more
significant to Simultech’s business?
3. What percentage of Simultech’s assets is
financed by total stockholders' equity? By total liabilities?
Complete the vertical analysis by computing each missing line item as a percentage of total assets. (Round your answers to the nearest whole percent.)
|
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In: Accounting
|
Will your flight get you to your destination on time? To the right are a histogram and summary statistics for the percentage of delayed arrivals each month from 2001 thru 2006. Consider these data to be a representative sample of all months. There is no evidence of a time trend. (The correlation of Flights Delayed % with time is r=0.0160.016.) n= 72 x= 24.5556 s= 3.34564 |
a) Check the assumptions and conditions for inference about the mean. Select all that apply.
A. All of the assumptions and conditions for inference about the mean are met.
B. The 10% condition is not met.
C. The randomization condition is not met and the sample is not suitably representative.
D. The independence assumption is not met.
E. The nearly normal condition is not met.
b) Find a 99% confidence interval for the true percentage of flights that arrive late.
___ < (Delayed Flight)< ___ (Round to two decimal places as needed.)
c) Interpret this interval for a traveler planning to fly. Choose the correct answer below.
A. 99% of all months have delayed flights rates within the interval.
B. A randomly selected month has a 99% chance of having a delayed flight percentage within the interval.
C. We can be 99% confident that the interval contains the true mean monthly percentage of delayed flights.
D. There is a 99% chance that the true mean monthly percentage of delayed flights is within the interval.
In: Statistics and Probability
Adventures & Vacations LLC bought a parcel of land and plans to build luxury villas on the property. The owners of the company plans to build four types of villas: deluxe non-smoking villas, deluxe villas that allow smoking, premier non-smoking villas and premier villas that allow smoking. Your team works for a consultant company that was hired to help the company plan the how many rooms of each type to build. You were given these following information by Adventures & Vacations LLC: Considering the industry trends, villas that allow smoking should be more more than 50% of the number of non-smoking rooms. There should be at least 100 but no more than 180 deluxe rooms Estimated construction costs the types of rooms are as follows: Deluxe villa = $12,000 and Premier villa = $15,000. Any villa that allow smoking will have additional systems and equipment added such as multiple smoke detectors, fire extinguishers, sprinklers and air purifiers. The estimated cost of this additional system is $3000. Adventures and Vacations LLC already raised $6.3 million in construction guarantees for this portion of the building. The expected per night revenues for the villas are: $130 for Deluxe villas and $175 for Premier villas. These prices are for non-smoking rooms. Guests will be charged an extra $15 per room if they choose to stay at villas that allow smoking. After consulting with the architect, the most aesthetically viable design for the property require that the number of deluxe rooms be at least 1.5 times the number of the premier rooms, but no more than 2.5 times. Instructions: 1) Your team's job is to design the LP model to help Adventures and Vacations LLC determine the best mix of rooms to construct. Note: Show your complete LP model for this problem. There is no need to solve. Make sure to include the following: Objective Function Constraints 2) Briefly discuss your rationale or reasoning for the LP model you are recommending. 3) What were some of the challenges you experienced when you were formulating the model?
In: Statistics and Probability
At December 31, 2019, certain accounts included in the property,
plant, and equipment section of Marigold Corporation’s statement of
financial position had the following balances:
| Land | $309,540 | |
| Buildings—Structure | 882,850 | |
| Leasehold Improvements | 705,000 | |
| Equipment | 844,630 |
During 2020, the following transactions occurred:
| 1. | Land site No. 621 was acquired for $799,520 plus a fee of $6,900 to the real estate agent for finding the property. Costs of $33,280 were incurred to clear the land. In clearing the land, topsoil and gravel were recovered and sold for $10,590. | ||||||||||||||||
| 2. | Land site No. 622, which had a
building on it, was acquired for $559,600. The closing statement
indicated that the land’s assessed tax value was $308,960 and the
building’s value was $101,560. Shortly after acquisition, the
building was demolished at a cost of $27,570. A new building was
constructed for $339,820 plus the following costs:
The building, completed and occupied on September 30, 2020, is expected to have a 30-year useful life. |
||||||||||||||||
| 3. | A third tract of land (No. 623) was acquired for $264,880 and was put on the market for resale. | ||||||||||||||||
| 4. | During December 2020, costs of $88,750 were incurred to improve leased office space. The related lease will terminate on December 31, 2022, and is not expected to be renewed. | ||||||||||||||||
| 5. | Equipment was purchased under a royalty agreement. The terms of the agreement require Marigold Corporation to pay royalties based on the units of production for the equipment. The equipment’s invoice price was $110,860, freight costs were $3,250, installation costs were $3,210, and royalty payments for 2020 were $15,250. |
(a)
Calculate the balance at December 31, 2020 in each of the following
accounts: Land, Leasehold Improvements, Buildings—Structure,
Buildings—Roof, and Equipment. Ignore the related Accumulated
Depreciation accounts.
| Land | $ | ||
| Leasehold Improvements | $ | ||
| Buildings—Structure | $ | ||
| Buildings—Roof | $ | ||
| Equipment | $ |
In: Accounting
1. ABC Company must sell 1,000 units to break even with its current contribution margin of $.50 per unit. How will breakeven change if the contribution margin increases?
A. The number of units needed to break even will decrease.
B. The number of units needed to break even will increase.
C. The number of units needed to break even will remain the same.
D. There is not enough information to know how break even units will change.
2. Segment margin is sales minus:
A.variable expenses.
B.traceable fixed expenses.
C. variable expenses and common fixed expenses.
D. variable expenses and traceable fixed expense
3. DC Construction has two divisions: Remodeling and New Home Construction. Each division has an on-site supervisor who is paid a salary of $82,000 annually and a salaried estimator who is paid $46,000 annually. The corporate office has two office administrative assistants who are paid salaries of $50,000 and $37,000 annually. The president's salary is $153,000. How much of these salaries are common fixed expenses?
A. $153,000
B. $87,000
C. $308,000
D. $240,000
4. ABC Company, which has only one product, has provided the following data concerning its most recent month of operations. It produced 6,200 units and sold 6,000 units. There was no beginning inventory.
|
Variable (per unit) |
Fixed (total) |
|
|
Direct Materials |
$15 |
|
|
Direct Labor |
$5 |
|
|
Manufacturing Overhead |
$8 |
$148,800 |
|
Selling & Administrative |
$7 |
$81,840 |
What is the unit product cost under absorption costing?
A. $52.00
B. $52.80
C. $59.00
D. $28.00
5. Under variable costing, fixed manufacturing overhead costs
A. are deferred in inventory when production exceeds sales
B. are always treated as period costs
C. are released from inventory when production exceeds sales
D. are ignored
In: Accounting
Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggie Power Generation's major residential markets, the annual demand in each market (in megawatts or MW), and the cost to supply electricity to each market from each power generation plant (in $/MW).
| City | Distribution Costs ($/MW) | Demand (MW) | ||
|---|---|---|---|---|
| Los AngelesL | TulsaT | SeattleS | ||
| Seattle1 | 356.25 | 593.75 | 59.38 | 950.00 |
| Portland2 | 356.25 | 593.75 | 178.13 | 831.25 |
| San Francisco3 | 178.13 | 475.00 | 296.88 | 2,375.00 |
| Boise4 | 356.25 | 475.00 | 296.88 | 593.75 |
| Reno5 | 237.50 | 475.00 | 356.25 | 950.00 |
| Bozeman6 | 415.63 | 415.63 | 296.88 | 593.75 |
| Laramie7 | 356.25 | 415.63 | 356.25 | 1,187.50 |
| Park City8 | 356.25 | 356.25 | 475.00 | 712.50 |
| Flagstaff9 | 178.13 | 475.00 | 593.75 | 1,187.50 |
| Durango10 | 356.25 | 296.88 | 593.75 | 1,543.75 |
(a)
If there are no restrictions on the amount of power that can be supplied by any of the power plants, what is the optimal solution to this problem?
(i)
Which cities should be supplied by which power plants? (Enter your optimal solution as a comma-separated list of ordered triples for the amount of power each power plant supplies to each city. Report electrical power in MW.)
(L1, T1, S1), (L2, T2, S2), …, (L10, T10, S10) =
(ii)
What is the total annual power distribution cost for this solution? (Round your answer to the nearest whole dollar.)
$
(b)
If at most 4,000 MW of power can be supplied by any one of the power plants, what is the optimal solution? (Enter your optimal solution as a comma-separated list of ordered triples for the amount of power each power plant supplies to each city. Report electrical power in MW. Round your answers to two decimal places.)
(L1, T1, S1), (L2, T2, S2), …, (L10, T10, S10) =
What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? (Round your answer to the nearest whole dollar.)
$
In: Statistics and Probability
Jones Souvenirs Hut does customized, hand-crafted memorabilia for hotels, in which each batch of souvenirs is a job. The company uses a perpetual inventory system and has a highly labour-intensive production process, so it assigns manufacturing overhead based on direct labour cost. Joust’s predetermined overhead rate for 2017 was computed from the following data:
Total estimated factory overhead $2,400,000
Total estimated direct labour cost $2,000,000
The WIP account given below relates to the activities of Jones Souvenirs for the month of April:
WIP Inventory A/C
DR April1 Bal. $15,000 Cr. To finished Goods ?
DR Direct Materials Used $123,000
DR Direct Incurred ?
Manufacturing Overhead applied ?
IAdditional data:
? Total material requisitioned ……………………………………$153,000
? Manufacturing Labour Costs incurred………………………$163,500 (75% represents direct labour)
? Other manufacturing overheads incurred ………………… $94,275
? Two jobs were completed with total costs of $183,000 and $105,000 respectively. They were sold to the hotel on account at a margin of 33 1/3% on sales.
Required:
(a) Compute Jones Souvenirs predetermined manufacturing overhead rate for 2017.
(b) State the journal entries necessary to record the following transactions in the general journal.
(i) Total materials issued to production
(ii) Assign manufacturing labour to the appropriate accounts
(iii) Other manufacturing overhead incurred
(iv) Manufacturing overhead applied to production
(v) Move completed jobs to finished goods (vi)Account for jobs completed and sold
(c) Post the manufacturing overhead transactions to the Manufacturing Overhead T-account. What is the balance on the account before performing end of period closing entries? Is manufacturing overhead under- or over- absorbed? State the journal entries necessary to dispose of the variance. Assume that the manufacturing overhead variance is immaterial.
(d) What is the balance in the Cost of Goods Sold account after the adjustment?
(e) Compute Jones Souvenirs gross profit earned on the jobs, after adjusting for the manufacturing overhead variance.
(f) Determine the balance in Work in Process Inventory on April 30
In: Accounting