The 95% confidence interval for the mean efficiency of the given batch of motors is 0.885 [tex]\pm[/tex] 0.418 and 41 motors should be tested to cut the confidence interval to one-third
The 95% confidence intervalThe given parameters are:
Mean, [tex]\mu[/tex] = 88.5%Standard deviation, [tex]\sigma[/tex] = 0.5Sample size, n = 8Here, n is less than 30.
So, we use the t-score
At 95% confidence interval and n = 8, the t-score is:
t = 2.365
So, we have:
[tex]CI = \mu \pm t\frac{\sigma}{\sqrt n}[/tex]
So, we have:
[tex]CI = 88.5\% \pm 2.365 * \frac{0.5}{\sqrt {8}}[/tex]
[tex]CI = 88.5\% \pm \frac{1.1825}{\sqrt(8)}[/tex]
Evaluate the quotient
CI = 88.5% [tex]\pm[/tex] 0.418
Express percentage as decimal
CI = 0.885 [tex]\pm[/tex] 0.418
Hence, the 95% confidence interval for the mean efficiency of the given batch of motors is 0.885 [tex]\pm[/tex] 0.418
The number of motors to be testedWhen the interval is cut into one third, we have:
[tex]CI = \frac 13 * (0.885 \pm 0.418)[/tex]
Evaluate
[tex]CI = (0.885 \pm \frac 13 *0.418)[/tex]
[tex]CI = (0.885 \pm 0.139)[/tex]
Recall that:
[tex]CI = \mu \pm t\frac{\sigma}{\sqrt n}[/tex] or [tex]CI = \mu \pm z\frac{\sigma}{\sqrt n}[/tex]
Here, we use the z-score i.e.
[tex]CI = \mu \pm z\frac{\sigma}{\sqrt n}[/tex]
By comparison, we have:
[tex]z\frac{\sigma}{\sqrt n} = 0.139[/tex]
Substitute [tex]\sigma[/tex] = 0.5 and z = 1.960
[tex]1.96 * \frac{0.5}{\sqrt n} = 0.139[/tex]
Evaluate the product
[tex]\frac{0.98}{\sqrt n} = 0.139[/tex]
Solve for [tex]\sqrt n[/tex]
[tex]\sqrt n = \frac{0.98}{0.139}[/tex]
Evaluate the quotient
[tex]\sqrt n = 7.1[/tex]
Square both sides
n = 49
The initial sample size is 8.
Subtract 8 from 49
Difference = 49 - 8
Difference = 41
Hence, 41 motors should be tested to cut the confidence interval to one-third
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What is the approximate yield to maturity for a $1000 par value bond selling for $1120 that matures in 6 years and pays 12 percent interest annually
The approximate yield to maturity of the bond considering the par value, selling price as well as years to maturity is 9.43%
The requirement is to determine the approximate yield to maturity of the bond using a formula approach.
The approximate yield to maturity of a bond is different from the yield computed using a financial calculator or excel spreadsheet because the yield computed using a software approach is precise, in other words, the approximate yield to maturity of a bond can be computed using the formula provided below:
Yield=(C+(F-P)/n))/(F+P)/2
C=annual coupon=12%*$1000
C=$120
F=face value=$1000
P=current price=$1,120
n=years to maturity=6
Yield=($120+($1000-$1120)/6)/($1000+$1120)/2
Note $1000-$1120/6=-$20
Yield=($120-$20)/($2,120)/2
Yield=$100/$1060
Approximate yield=9.43%(rounded to 2 decimal places)
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Assume that sparks uses a perpetual specific identification inventory system. its ending inventory consists of 2 units from beginning inventory, 4 units from the jan. 5 purchase, and 10 units from the jan. 29 purchases. calculate the dollar value of its ending inventory.
The dollar value of the ending inventory is given as $264
How to solve for the dollar value of ending inventoryThrough the specific identification system, we can identify units through the use of accounting principles.
We have to multiply the number of units of inventory by the amount that it costs.
Hence we have
2 * 12 + 4 * 15 + 10 * 18
This gives us $264 as the dollar value of the inventory.
Complete questionAssume that Sparks uses a perpetual specific identification inventory system. Its ending inventory consists of 2 units from beginning inventory, 4 units from the Jan. 5 purchase, and 10 units from the Jan. 30 purchases. Calculate the dollar value of its ending inventory.
Jan 1
Beginning Inventory
10 at $12
Jan 5
Purchase
10 at $15
Jan 30
Purchase
10 at $18
Feb 8
Sale
14 units
$186
$264
$160
$450
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Answer:$264
Explanation:
Select a travel lane with the least amount of congestion and stay in the lane you have chosen until you need to turn, __________, or avoid a hazard.
Select a travel lane with the least amount of congestion and stay in the lane you have chosen until you need to turn, pass another, or avoid a hazard. Read below about travel lane.
What is a travel lane?A traffic lane or travel lane is a lane for the movement of vehicles travelling from one destination to another, not including shoulders. A through lane is a traffic lane for through traffic. At intersections, these may be indicated by arrows on the pavement pointing straight ahead.
Therefore, the correct answer is as given above.
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What is the money in the form of currency and checkable deposits in commercial banks called?.
Answer:
Demand Deposits
Explanation:
Demand Deposits, as the name implies, are ones that are not placed for a certain length of time, unlike fixed deposit receipts, etc. Businessmen usually regard the money they place in current accounts as demand deposits that they can withdraw at any moment. Savings bank accounts and fixed deposit accounts are the additional deposit options available to a depositor. The depositor deposits his funds into a savings bank account and can withdraw them as needed. Some banks place limits on the number of withdrawals that may be made from savings bank accounts in a month or a year, but all banks pay interest on the money that is kept in savings bank accounts, whereas no interest is given on demand deposits. In a fixed deposit account, funds are placed for a preset amount of time, such as one month, three months, six months, or one year or more, and interest is given on those funds at a predefined rate that was set on the deposit date.
Basically there are 2 types of demand deposits:
Current accounts are typically created by businesspeople for their commercial dealings. No interest is paid on the balance in the account. flexible withdrawal and deposit options.Savings account - Usually opened by working class people, students, etc. Interest is earned on the balance in the account at a rate of 3.5–4%. Flexible withdrawal and deposit options.There are 2 types of term deposits.
Deposits that may be made repeatedly are known as recurring deposits ( like monthly, quarterly). This money must be retained for a specific amount of time and is only withdrawable at maturity. More than savings accounts, but less than fixed deposits, is the interest earned.Money may only be put once in a fixed deposit. This money will be held for a specific amount of time and may only be released at maturity. All account types will provide the highest rate of interest. If you wish to take money out before it matures, there will be a penalty.These are the basic types of bank accounts. Today's banks enhance these accounts with additional features to make them more enticing and personalized.
the build-up method drills down revenue projections to a typical ______.
The build-up method drills down revenue projections to a typical day.
What is revenue?This refers to the total amount of income realized from the sale of goods or services as it relate to a company's operation. It is the value generated from the sale of a company's goods.
It is to be noted that two methods of forecasting future revenues are comparable method and the build-up method.
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The following transactions apply to Ozark Sales for Year 1:
1. The business was started when the company received $50,000 from the issue of common stock. 2, Purchased inventory of $380,000 on account.
3. Sold for $510,000 cash (NOT including sales tax). Sales tax of 8 percent is collected when the merchandise is sold. The merchandise had a cost of $330,000.
4. Provided a six-month warranty on the merchandise sold. Based on industry estimates, the warranty claims would amount to 2 percent of sales.
5. Paid the sales tax to the state agency on $400,000 of the sales.
6. On September 1, Year 1, borrowed $50,000 from the local bank. The note had a 4 percent interest rate and matured on March 1, Year 2.
7. Paid $6,200 for warranty repairs during the year.
8. Paid operating expenses of $78,000 for the year.
9. Paid $250,000 of accounts payable.
10. Recorded accrued interest on the note issued in transaction no. 6.
Prepare the journal entries for the preceding transactions and post them to the appropriate T-accounts.
Answer:
Current liabilities: Accounts payable$130,000
Sales tax payable 8,800
Warranty Payable 4,000
Interest payable 667
Notes payable 50,000
Total current liabilities$193,467
Explanation:
to maximize audience attention to still images in an ad campaign, which strategy should you use?
The strategy to be used in order to maximize audience attention to still images in an ad campaign is to Create a slideshow of the images.
What is an Ad Campaign?This refers to the action that an advert manager or company takes in order to market a product or service to a group of people.
Hence, we can see that based on the fact that the advert in question has to do with still images, to increase the attention of the audience, the best strategy would be to create a slideshow of the images.
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The common denominator for decisions on service processes is _______, but for manufacturing processes it is _______
The common denominator for decisions on service processes is customer contact while but for manufacturing processes, it is product variety.
What is a common denominator?This refers to the feature that is shared by all members, item, quantity of a subject matter.
Hence, the common denominator for decisions on service processes is customer contact while but for manufacturing processes, it is product variety.
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If you were a policy maker in country lt, how would you ensure that the ideals of free enterprise are preserved while protecting the citizens of your nation? explain your answer in three to four sentences.
I will ensure that the ideals of free enterprise are preserved by implementing price regulatory system.
What is free enterprise?It should be noted that free enterprise is an economic system that's driven by demand and supply.
In this case, I'll ensure that the ideals of free enterprise are preserved by implementing price regulatory system. This is important to prevent exploitation of consumers.
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Answer:
If I were a policy maker in Country LT, I would create a regulatory policy that allowed the grain producer to make as much in profit as possible, but still protect consumer needs. The company would be required to create various smaller companies, each selling different types and quality of grain for varying prices. This would preserve the ideals of free enterprise, encourage competition within the market, and help to keep food costs down for consumers.
Explanation:
after the federal reserve buys bonds, the interest rate changes and aggregate expenditures change, the following will most likely occur
The next thing to occur would be B. the price level in the economy will rise and the money demand will decrease
What is Interest Rate?This refers to the amount of money that is added to be paid back on the settlement of a loan.
Hence, we can see that after the federal reserve buys bonds, the interest rate changes and aggregate expenditures change, thus will cause the price level in the economy will rise and the money demand will decrease
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X Corp. and Y Corp. are separate entities. In Year 4, X Corp. extended a hostile tender offer directly to the shareholders of Y Corp. Y Corp. immediately issued bonds and offered to repurchase its own stock from its current shareholders at an amount higher than the current market price. The action by Y Corp. is best described as a(n) Issuance of stock strategy. Legal action strategy. Self-tender strategy. Compulsory share exchange strategy.
The action by Y Corp. is best described as a C. Self-tender strategy.
What is a self-tender strategy?A self-tender is a defense strategy that thwarts a hostile corporate takeover.
Using a self-tender strategy as described in this scenario involves Y Corp. making a tender offer for its shares, inviting its shareholders to sell their shares so that the company can repurchase them at a specified favorable price.
This self-tender strategy closes off X Corp's efforts to succeed with the hostile tender offer.
Thus, the action by Y Corp. is best described as a C. Self-tender strategy.
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Corporate executives realize that if they can establish ideological outposts in the minds of people, they can use those outposts to.
In the nation of Hamsterville most goods, services, and resources are allocated in markets. However, some goods are provided by the government, such as healthcare and education.What kind of economic system does Hamsterville have
On the hamster farm, They are operating under a market economy, where resources, goods, and services are distributed through markets.
What is an economic system?
A society's or a specific geographic area's system of production, resource allocation, and distribution of products and services are known as an economic system or economic order.
In a market economy, private individuals rather than the government own the resources. The majority of products, services, and resources are distributed in marketplaces in the country of Hamsterville. But the government does supply some things, like healthcare and education.
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Suppose a firm is allowed to operate as a monopoly due to the presence of large economies of scale. Social welfare can potentially gain if Multiple choice question. price is regulated at the socially efficient level. profits are regulated at the socially efficient level. the HHI exceeds 1,800. profits are forced to be negative
Even if the company is allowed to operate as a monopoly, there can still be social welfare gain if price is regulated at the socially efficient level.
How can a monopoly benefit society?Monopolies are able to charge high prices because they are the only supply. This harms consumer surplus, and therefore reduces social welfare.
If the prices that the monopoly charges can be limited to a socially efficient amount, then the society would benefit.
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What would chester corporation’s market capitalization be if the current stock price fell 10%?.
If the current share price drops by 10%, Chester Corporation will have a market capitalization of $ 73,668,639 or $ 73.7 million.
Market capitalization = current stock price x total number of issued shares.
I don't know the total number of issued shares or the current stock price, so I can use another question as an example.
Another question is that the total number of issued shares is 3,225,987 and the current share price is $ 20.76. So if the current market capitalization = 3,225,987 x $ 20.76 = $ 66,971,490
stock price rises 10% ($ 22.836), Chester's market capitalization = 3,225,987 x $ 22.836 = 73,668. $ 639 or $ 73.7 million.
What defines stock price?The stock price is a relative and proportional value of a company's worth. Therefore, it only represents a percentage change in a company's market cap at any given point in time. Any percentage changes in a stock price will result in an equal percentage change in a company's market cap.
What is market capitalization?Market capitalization, or market cap, is the total value of a company’s shares of stock. Market cap is calculated by multiplying the number of stock shares outstanding by the current share price. Shares outstanding includes all shares — those available to the public as well as restricted shares available to and held by specific groups.
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Which agency sets up standards of identity for manufactured foods such as milk, peanut butter and mayonnaise?
The agency that set up standards of identity for manufactured foods such as milk, peanut butter and mayonnaise is NAFDAC
What are the function of NAFDAC?NAFDAC means the national agency of food and drug, admistration and control.
They are organization is responsible for standadizing the goods produced by manufacturing industries. They ensure these industries comply with the set standards before producing food for consumption purpose.
Hence the agency that set up standards of identity for manufactured foods such as milk, peanut butter and mayonnaise is NAFDAC
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according to the international data corporation (idc), what is that crucial ability that will make cloud computing essential for businesses to succeed, sustain, and compete in today’s markets?
According to the International Data Corporation (IDC), the crucial ability that will make cloud computing essential for businesses to succeed, sustain, and compete in today’s markets is D. Data-driven decisions.
What are data-driven decisions?A data-driven decision is the use of facts, metrics, and data to guide strategic business decisions to align with organizational future goals, objectives, and current initiatives.
Data-driven decisions enable organizations to observe real data and gain predictive insights, enabling the organization to achieve efficiency and effectiveness in its operations.
Thus, according to the International Data Corporation (IDC), the crucial ability that will make cloud computing essential for businesses to succeed, sustain, and compete in today’s markets is D. Data-driven decisions.
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The federal government’s health care program for older individuals is ________
_______ is the government’s health care program for low-income families.
Medicare, Medicaid
...
ExplanationAnswer:
medicare, medicaid
Explanation:
edmentum
Cash advance fees, late payment fees, and balance transfer fees are considered ____________ fees.
Cash advance fees, late payment fees, and balance transfer fees are considered transaction fees.
What are Transaction Fees?A transaction fee can be described as the expense that must be paid by a business each time electronic payment or other transaction is been processed by for a customer transaction.
Some examples of transaction fees are:
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See the "zane corbin, accounting major" case for this question. given the facts available in this case, do you believe the upchurch medal awarded to zane corbin should have been rescinded despite the outcome of the academic misconduct hearing? why or why not?
No, Cobin should have been stay to see the result of the academic misconduct hearing because he has some facts available in this case.
What is the William J Upchurch medal?The William J Upchurch medal is a final undergraduate award, which is given annually to the outstanding seniors in the Hopkins college of Business.
The criteria for the award consists overall GPA, GPA in business courses, involvement in student organization etc.
The facts available in this case are: Cobin was attending the orientation session in his junior year, & went to two career fairs in the past two year. He was also a member for two years. He should stay to see the result of the academic hearing.
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When giving a spreadsheet a title, what are some best practices to follow?
The practices tio follow when giving a spreadsheet a title is to make it
shortclearstate what it is aboutWhat is a spreadsheet?This is a document that is used electronically with the use of computers. This document contains data and information in all of its fields.
Spreadsheets are arranged to be in rows and also in Mathematical operations can be performed on them.
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Sunk costs are costs that ____. Multiple choice question. will not contribute to profits in the long run even if a project is accepted have already occurred and are not affected by accepting or rejecting a project relate to other projects of the firm cannot be measured
A sunk cost is a cost that have already occurred and are not affected by accepting or rejecting.
What is a sunk cost?These refer to costs that the business has already incurred and so cannot recuperate regardless of whether they accept a project or not.
They therefore have no say on a project's acceptance and should not be included in any project analysis.
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Mr. Fitzgerald is selling his home to permanently move into a retirement facility near his daughter in a neighboring state before the annual election period. He has a stand-alone prescription drug plan and has learned it is not available where he is moving. He doesn’t know what he should do. What can you tell him?.
Answer:b.
Because he is moving outside of the service area, the plan must automatically disenroll him. He will have a special election period to select a new plan.
Explanation:
Despite the fact that he's transferring outdoor of the provider location, the plan should robotically disenroll him. He could have a special election length to pick out a new plan.
What is a stand-alone prescription drug plan?A PDP is often known as a “stand-by myself prescription drug plan” because it is separate prescription drug insurance that Medicare beneficiaries can purchase – thru private insurers – commonly to supplement unique Medicare.
What are the four prescription drug insurance levels?For the duration of the year, your prescription drug plan prices might also change depending on the insurance degree you are in. When you have an element D plan, you pass via the CMS coverage degrees on this order: deductible (if applicable), initial coverage, insurance hole, and catastrophic coverage.
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identify the functions of an enhancer in transcription.
We can actually deduce here that the functions of an enhancer in transcription is:
A cis-regulatory element that regulates gene transcription in specific tissues or cells.Regulates transcription by catalyzing the formation of an enhanceosome, activating transcription.What is an enhancer?An enhancer in genetics refers to be a region of DNA that actually increases the chances of a transcription of a gene to occur. They are proteinous and usually referred to as transcription factors.
We can see here that the above are identified as functions of an enhancer in transcription.
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what is a sale promotion
Answeris one of the elements of the promotional mix. :
Explanation:
Answer:
profit
Explanation:
You take a major selection of items and you increase the amount wanted by a quarter percentage.
classical economists saw the depression as a political problem, not an economic problem. why?
Classical economists saw the depression as a political problem, because they believed labor unions were stopping the wage level from moving to the right level.
Classical economistsThe Classical economists believe that the great depression experience was as a result of as a political problem.
The reason why they believe it was political problem was because they felt the labor unions who is the union responsible for fight for the right of workers were the one that stop or prevent the wage level from moving to the right level.
Therefore they believed that labor unions were stopping the wage level from rising.
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A loan in which a parent deposits money with a host-country bank, which then lends the money to a subsidiary located in the host country is known as a(n) ________.
A loan in which a parent deposits money with a host-country bank, which then lends the money to a subsidiary located in the host country is known as a back-to-back loan.
What is a back-to-back loan?A back-to-back loan is a deal in which two parent corporations from separate nations borrow equal sums of money in their home currencies and lend it to the local subsidiary of the other.
While businesses could trade money on the currency markets, back-to-back loans can be more practical and provide the necessary currency. However, back-to-back loans have mainly been replaced by currency swaps and other comparable instruments. Nevertheless, these tools support global trade.
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Proponents of a fixed exchange rate system point out that a major drawback of a floating exchange rate is that it is responsible for creating trade deficits. helps eliminate the uncertainty about the value of a currency. leads to uncertainty about the value of goods traded internationally. keeps a nation from trading fairly with other nations. is based on the value of gold held by a nations.
Proponents of a fixed exchange rate system point out that a major drawback of a floating exchange rate is that it C. leads to uncertainty about the value of goods traded internationally.
What is a floating exchange rate?A floating exchange rate refers to the foreign exchange rate as determined by the forex market based on supply and demand relative to other currencies.
A floating exchange rate system gives the government more scope to use monetary and fiscal policies to achieve domestic economic stability, unlike a fixed exchange rate regime.
Thus, proponents of a fixed exchange rate system point out that a major drawback of a floating exchange rate is that it C. leads to uncertainty about the value of goods traded internationally.
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What might a concept include along with a brief written description of the product?
Along with a brief description of a product, a concept might include a visual image to satisfy the customer.
What is a Visual image?A visual image is a visible drawing or diagrammatic expression that represents a concept. A visual image gives an idea of the product and gives a detailed description of what to expect of the product.
When advertising a product, a visual image is needed to satisfy or convince a customer on the particular product.
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______ products are purchased by the ultimate consumer, whereas Blank______ products are purchased by organizations to assist them in providing other products for sale.
Consumer products are purchased by the ultimate consumer, whereas business products are purchased by organizations to assist them in providing other products for sale.
What are consumer products and business products?Any item created or supplied with the intention of being sold to a customer and used, consumed, or enjoyed by that consumer is referred to as a consumer product. Products that are often designed primarily for business, commerce, or industry usage are not included in the consumer products.
Examples: clothes, food, jewelry
The items are regarded as business products if they are purchased by a company for internal usage.
Examples: raw materials, equipment
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