To determine the efficiency of a batch of production of electric motors, 8 motors are tested. The average efficiency of the sample is calculated to be 88.5% and the standard deviation of the sample is 0.5 percentage point. (a) Determine a 95% confidence interval for the mean efficiency of the given batch of motors. (b) If we want to cut the confidence interval to one third, how many more motors should be tested

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Answer 1

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 interval

The given parameters are:

Mean, [tex]\mu[/tex] = 88.5%Standard deviation, [tex]\sigma[/tex] = 0.5Sample size, n = 8

Here, 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 tested

When 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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Answer:

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How to depict the information?

From the information given, the data analytics team works to recognize the current problem. Then, they organize available information to reveal gaps and opportunities.

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Hence, to record a sales transaction, use create invoices- receive payment- make deposits.

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Erin bought a $100,000 whole life insurance policy. When she is 65 she decides to surrender the policy for its cash value of $60,000. Of the cash value, $50,000 is premiums. How much of Erin's cash surrender is taxable?

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The difference between the cash value and the premiums paid is taxable upon policy surrender ($60,000 - $50,000 = $10,000). Erin's cash surrender that is taxable is $10,000.

What is cash surrender value of whole life insurance and how it is calculated?

Cash surrender value is the amount that remains after the fees when permanent life insurance policy has been cancelled.

Cash surrender value of whole life insurance can calculated by adding up the total payments being made to the insurance policy and then subtract the fees that has been charged by the insurance company for surrendering the policy.

In short, Cash surrender value is the amount left over after fees when you cancel a permanent life insurance policy.

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Which type of financial aid is often based on merit, as opposed to financial need?

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Answer:

Scholarships

Explanation:

Merit-based aid goes to students based on their academic and/or extracurricular achievements rather than their financial need. Scholarships are the most common type of merit-based aid. Students may receive scholarships from nonprofit organizations, private businesses, and colleges and universities.

hope it helps you and give me a brainliest

Answer: scholarships

Explanation:

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Explanation:

.......

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Hence, it is agreed that any multinational corporation will be able to fully benefit from economies of scale when its establish a subsidiary in a new market that can sell products produced elsewhere.

Therefore, the Option D is correct.

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What are socially responsible company?

Socially responsible company are companies that are committed to the growth and development of their community.

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Therefore, Newman's own organics is considered a socially responsible company because it donates to charity.

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abc  should reports the liability on the balance sheet as a: $1 million current liability and a $4 million long-term liability.

Liability

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Therefore abc  should reports the liability on the balance sheet as a: $1 million current liability and a $4 million long-term liability.

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Answer:

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Explanation:

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Based on the contract between Captain Hook and Peter Pan Insurance Company, Wendy would best be classified as an intended beneficiary.

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An intended beneficiary can be defined as a type of third-party beneficiary who is intended and designated by an insured to directly receive benefits from an established contractual agreement.

Based on the contract between Captain Hook and Peter Pan Insurance Company, we can infer and logically deduce that Wendy would best be classified as an intended beneficiary.

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In this leadership style, the leader is the one who helps and contributes to the work, creating ways to motivate his people and assisting in their needs, increasing team integration and the participation of all members in the decision-making process.

Therefore, in the movie "The Help" we perceive the participative leadership in the actions of Skeeter, who belongs to high society but decides to write a book about the perspective of black maids, helping them in their needs.

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According to the text, the most logical budget-setting method in advertising is the ________ method.

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The logical budget setting method is advertising, the company set advertising budget cost is required to achieve tasks.

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The objective and budgeting work simultaneously, budget is established when specific objective is in mind.

The company sets advertising budget for promotion of products, budget requires certain amount of money needed to achieve objective and task.

Businesses use objective and task method by examining cost of each goals. The objective and task method is difficult to assess accurately advertising costs needed to achieve the task.

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The production possibilities curve below shows the hypothetical relationship between the production of guns (national defense) and butter (social goods) in an economy. Combination Guns Butter A 0 4 B 14 3 C 26 2 D 36 1 E 44 0 Your response should be a number ONLY. What is the marginal opportunity cost of producing the second unit of butter

Answers

If we will increase the production of butter from 1 to 2, then the Guns production will decreases from 36 to 26. Thus, marginal opportunity cost of second unit of butter is 10 guns.

What is marginal opportunity cost?

The marginal opportunity cost refers to the measurement of the amount of a good that has to be sacrificed for each additional unit of the other good.

It is the cost incurred during the production of a unit or item.

Formula of Marginal opportunity cost =△gain of output △loss of output.

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Ballard Company incurred a total cost of $9,400 to produce 300 units of pulp. Each unit of pulp required six (6) direct labor hours to complete. What is the total fixed cost if the variable cost was $1.50 per direct labor hour

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The total fixed cost if the variable cost was $1.50 per direct labor hour is $6700.

Total fixed cost

Using this formula

Total cost=Fixed cost+ Per Direct labor hours×Units of pulp× Direct labor hours

Let plug in the formula

9400=FC + 1.50(300)(6)

9400=FC + 2700

FC=$6700

Therefore the total fixed cost if the variable cost was $1.50 per direct labor hour is $6700.

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Question 2 of 20
If you choose to own a credit card, it is important to:
0 A. pay
A. pay off the balance each month.
B. make minimum payments each month.
O C. use more than one credit card to distribute the costs.
O D. use credit cards as often as possible.

Answers

Answer: (B)

Explanation: so you can save your money that is the wi way

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If you are executing an indirect activity allocation. what you post to the sender and receiver is: You post the quantity and cost to both the sender and receiver.

What is Indirect activity allocation?

Indirect activity allocation can be defined as the way in which activities that are share or allocated.

Based on the given scenario  when making use of  indirect activity allocation you post the quantity and cost to the sender as well as the  receiver.

Therefore  quantity and cost are posted to the sender and receiver.

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