Section A ANSWER ALL QUESTIONS (20 MARKS EACH) 1. Player 1 (row player) and Player 2 (column player) will play one of the following two simultaneous games. Denote Player 1's type who plays Game 1 as Type 1 of Player 1 and Player 1's type who plays Game 2 as Type 2 of Player 1. Player 1 knows perfectly his own type. Player 2 only knows that Player 1 is Type 1 (playing Game 1) with probability 0.5 and that Player 1 is Type 2 (playing Game 2) with probability 0.5. (Game-1)
Player 2 L R
Player 1 T 1,1 0,0 B 0,0 0,0 L R
(Game-2) Player 2 L R
Player 1 T 0,0 0,0 B 0,0 2,2 Find all pure strategy Bayesian Nash Equilibria of the game above. (20 marks)

Answers

Answer 1

The game is a game of incomplete information. So, let us assume that Type 1 chooses game 1 and Type 2 chooses game 2. Let's start by examining the strategy of player 2. Player 2, on the other hand, is uninformed and must use the probability that player 1 is Type 1, which is 0.5, to calculate his expected payoff in each situation.

We make the following calculations: When player 2 selects L, he has two alternatives, T and B, with anticipated payoffs of 0.5(1) + 0.5(0) = 0.5 and 0.5(0) + 0.5(0) = 0, respectively.

When player 2 selects R, he has two alternatives, L and R, with anticipated payoffs of 0.5(0) + 0.5(0) = 0 and 0.5(0) + 0.5(0) = 0, respectively.

Now let's look at player 1's strategies. When player 1 selects T, he has two alternatives, L and R, with anticipated payoffs of 0.5(1) + 0.5(0) = 0.5 and 0.5(0) + 0.5(0) = 0, respectively.

When player 1 selects B, he has two alternatives, L and R, with anticipated payoffs of 0.5(0) + 0.5(0) = 0 and 0.5(2) + 0.5(0) = 1, respectively.1. Pure strategy Bayesian Nash equilibrium is a strategy that is a Nash equilibrium regardless of the nature of each player's type. So let's look at player 2 first:If player 2 selects L, player 1 will choose T, because he will receive a payoff of 1 instead of 0. As a result, (T, L) is a Nash equilibrium.If player 2 selects R, player 1 will choose B, because he will receive a payoff of 2 instead of 0. As a result, (B, R) is a Nash equilibrium.2. In conclusion, the pure strategy Bayesian Nash equilibria are:(T, L)(B, R).

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Related Questions

Status quo is staying safe with the way an individual makes decisions, and their decision process stays the same.a. true
b. false

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The status-quo trap is staying safe with the way an individual makes decisions, and their decision process stays the same is true

Is status quo good or bad?When making an important choice, people are more likely to pick the option that maintains things as they are currently. A status quo bias minimizes the risks associated with change, but it also causes people to miss out on potential benefits that might even outweigh the risksThe Status Quo is the current state of affairs. It's how things are done. Often we hear that “we've always done it this way.” Other times we're waiting for a better way to come along. To question the status quo, we ask “what if” and “why not.”Status quo is a Latin phrase meaning the existing state of affairs, particularly with regard to social, political, religious or military issues. In the sociological sense, the status quo refers to the current state of social structure and/or values

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In order to maximize short-term operating income, Daniels Corporation should because the variable cost of outsourcing to FMS results in | of - - X Data table Outsource To Retain In-House FMS 9,500 147,000 Difference $ 9,500 147.000 Annual leasing fee for software Annual maintenance of trucks Total annual salaries of five laid-off employees Fleet Management Service's annual fee Total differential cost of outsourcing 185,000 300,000 185,000 (300,000) 41,500 341,500 $ 300,000 $ Print Done

Answers

To maximize short-term operating income, Daniels Corporation should outsource to FMS due to the lower total differential cost compared to retaining in-house operations.

Maximize short-term operating income?

In order to maximize short-term operating income, Daniels Corporation should outsource to FMS because the variable cost of outsourcing results in a lower total differential cost compared to retaining in-house operations. Here is the breakdown of the costs:

- Annual leasing fee for software: $185,000

- Annual maintenance of trucks: $300,000

- Total annual salaries of five laid-off employees: $185,000

- Fleet Management Service's annual fee: -$300,000 (since it is an outsourcing cost)

- Total differential cost of outsourcing: $341,500

By outsourcing to FMS, Daniels Corporation would incur a total differential cost of $341,500. On the other hand, if they were to retain in-house operations, the total differential cost would amount to $300,000.

Therefore, outsourcing to FMS would result in a higher short-term operating income, as the differential cost is higher when retaining in-house operations.

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The advertising industry was worth how much money in 1920?

$3,000

$300,0000

$3,000,000,000

$300,000,000

Answers

Answer:

3,000,000,000

Explanation:

let me now if I'm wrong

to journalize estimated uncollectible receivables using the allowance method, the adjusting entry would be a

Answers

To journalize estimated uncollectible receivables using the allowance method, the adjusting entry would include debiting Bad Debt Expense and crediting Allowance for Doubtful Accounts.


1. Estimate the amount of uncollectible receivables: Analyze the accounts receivable aging report and estimate the percentage of uncollectible receivables for each age group. Multiply these percentages by the total receivables in each age group to estimate the total uncollectible amount.

2. Record the adjusting entry: Debit the Bad Debt Expense account for the estimated uncollectible amount calculated in step 1, and credit the Allowance for Doubtful Accounts.

3. Update the financial statements: Reflect the adjusting entry on the income statement (reduce revenue by Bad Debt Expense) and the balance sheet (reduce accounts receivable by Allowance for Doubtful Accounts).

By using the allowance method, you estimate and record uncollectible receivables before they are actually identified as uncollectible. This method ensures that the financial statements provide a more accurate representation of the company's financial position and complies with the Generally Accepted Accounting Principles (GAAP).

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agility is defined as the ability of a project team to respond rapidly to a change. group of answer choices true false

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Agility is defined as the ability of a project team to respond rapidly to a change. This statement was false.

what is meant by project?

A project is any endeavour that is deliberately planned to accomplish a certain goal, whether it is carried out alone or in collaboration with others and may involve research or design.An alternate perspective describes a project as a series of connected tasks that must be completed within specific time, budget, and other constraints.A project may be used as an ad hoc system or as part of a larger programme management framework.Be aware that open-source software "projects" and musical "projects" by artists may not have clearly defined team members, exact planning, or time limits.The Latin term projectum, which derives from the verb proicere, is where the word project originates.

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Your employer will withhold the following taxes from your $200 paycheck:
A Federal Income Tax (10%): $20.00
B Social Security Tax (6.2%): $12.40

C Medicare Tax (1.45%): $2.90
C State Income Tax (5%): $10.00

Answers

Answer is B social security tax

Hey could some one help me with the resume I need help with it because that is my first time making it. It is part of my assignment and I am looking out for someone that could be willing to help me with this. I would really appreciate if you help.​

Hey could some one help me with the resume I need help with it because that is my first time making it.

Answers

Answer:

Here are some tips :

Be strategic. Your resume isn't a list of everything you've ever done.

Keep it consistent. No matter what formatting choice you make, maintain editorial consistency by using that format throughout the document.

Include a variety of experiences.

Think like an employer.

Keep it visually balanced.

Explanation:

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The histogram and box plots below show the distribution of finishing times for male and female winners of the New York Marathon between 1970 and 1999.

Answers

Answer:

Kindly check explanation

Explanation:

A.)

From the histogram, the number of runners who made a certain range of Runtime can be easily deduced on the y-axis of the histogram, which isn't possible on the boxplot.

Summary statistic such as lower quartile, median and upper quartile statistics including outliers can be deduced easily from the boxplot.

B.)

Bimodal distribution occurs when two different groups or class have the highest number of values in a distribution.

C.)

The distribution of marathon times for men is fairly normally distributed while that if women is skewed.

The minimum and maximum values in the women's distribution is greater than the minimum and maximum values in the men's distribution.

The women's distribution has greater variance than the men's distribution. (greater range value).

The histogram and box plots below show the distribution of finishing times for male and female winners

You are analyzing the purchase of new equipment. Since you are not an expert on this type of equipment, you hire a consulting firm to make recommendations. The consultant charged you $1,500 and recommended the purchase of the latest model from acme corp. Of america. The equipment costs $80,000, and it will cost another $10,000 to modify it for special use by your firm. The equipment will be depreciated on a straight-line basis over six years with no salvage value. You expect the equipment will be sold after three years for $28,000. Use of the equipment will require an increase in your company's net working capital of $4,000, but this $4,000 will be recovered at the end of year three. The use of the equipment will have no effect on revenues, but it is expected to save the firm $50,000 per year in before-tax operating costs. Your company's marginal tax rate is 35%. What is the initial outlay required to fund this project? group of answer choices $80,000 $84,000 $94,000 $90,000

Answers

The is the initial outlay required to fund this project is $94,000.

The initial outlay required to fund this project is calculated using the formula:

Initial Outlay = (Equipment Cost + Modification Cost + Increase in Working Capital)

Therefore, the initial outlay is:

Initial Outlay = ($80,000 + $10,000 + $4,000)

= $94,000

The initial outlay does not include the fee for the consultant since this is not a one-time cost associated with the project.

Working capital is the funding you have on hand to take care of your immediate, short-term requirements. You must estimate your present levels, forecast your future requirements, and think of strategies to ensure that you always have adequate cash on hand if you want to make sure that your working capital serves your demands.

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Waylan’s boss asks him to write his own performance review, then his boss compiles reviews from peers, supervisors, and customers for them to discuss at their meeting. This is an example of

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Waylan's boss asks him to write his own performance review, then his boss compiles one reviews from colleagues, supervisors and customers to discuss in their meeting This is an example of a performance review.

The phrase performance appraisal describes a routine evaluation of a worker's productivity and overall value to the business. A performance appraisal, sometimes referred to as an annual performance review, appraisal, or productivity review, assesses an employee's abilities, achievements, and growth—or lack thereof. Employees may feel dissatisfied if the evaluation is not positive and may become disillusioned with the company culture.

Despite the fact that there are many other types of performance appraisals, the most typical is the top-down appraisal, where management evaluates its direct report.

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On August 10,2019 ABC sells 16 mini trenchers to a farm co-op in western Minnesota. ABC provides a 4% volume discount on the mini trenchers if the co-op has a 15% increase in purchases from ABC compared to the prior year. Given the slowdown in the farm economy, sales to the co-op have been flat, and it is highly uncertain that the benchmark will be met. Required: Prepare the journal entry for ABC on August 10,2019.

Answers

Answer:

If it was likely or probable that the farm co-op would meet the benchmark and get the discount (or rebate), then the journal entry should recognize that. But since it is very doubtful that the benchmark will be met, then the journal entry should be made without considering any type of discount.  

I looked for a similar question in order to find the missing numbers:

each trencher is sold at $3,600 and costs $2,000

August 10, 2019, 16 mini trenchers sold to farm co-op

Dr Accounts receivable 57,600

    Cr Sales revenue 57,600

Dr Cost of goods sold 32,000

    Cr Inventory 32,000

A data ________ is a large-scale electronic repository of data that contains and organizes all of an organization's data in one place.

Answers

A data warehouse is a large-scale electronic repository of data that contains and organizes all of an organization's data in one place.

A data warehouse is a central repository of information that can be analyzed to make decisions more informed .

Data flows into the data warehouse from transactional systems or relational databases, and other sources.

Business analysts or the data engineers or data scientists, and decision makers generally access the data through business intelligence (BI) tools or  SQL clients, and other analytics applications.

Data warehouses power different reports as well as  dashboards, and analytics tools by storing data efficiently to minimize the input and output  of data and deliver query results quickly to hundreds and thousands of users concurrently.

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Which are the differences in the purchasing decision process when you have low-involvement vs. high-involvement from the customer

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Low-involvement purchase decisions are more likely to be made on the spur of the moment, while high-involvement decisions are more likely to be the result of a deliberate process of information-seeking, alternative analysis, and decision-making. Option D is correct.

In the case of low-involvement purchases, customers tend to make decisions quickly and with little consideration. These decisions may be influenced by factors such as brand loyalty, price, and convenience, and often do not require extensive research or evaluation of alternatives. Customers may be more likely to make these purchases on impulse, without giving much thought to the decision-making process.

On the other hand, high-involvement purchases require a more deliberate process of information search, evaluation of alternatives, and decision-making. Customers tend to invest more time and effort in researching and comparing different products or services, considering factors such as quality, features, and benefits. The decision-making process is more likely to be based on rational factors rather than emotional factors, and customers may take longer to make a final decision.

It is important for businesses to understand these differences in the purchasing decision process and tailor their marketing and sales strategies accordingly. For low-involvement purchases, businesses may want to focus on building brand recognition and providing convenient purchasing options, while for high-involvement purchases, businesses may want to emphasize the quality and features of their products or services and provide detailed information to help customers make informed decisions.

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Complete question:

What are the differences in the purchasing decision process when the customer has low involvement versus high involvement?

A) Low-involvement purchasing decisions require extensive research and evaluation of alternatives, while high-involvement decisions do not.

B) Low-involvement purchasing decisions are made quickly and with little consideration, while high-involvement decisions are made slowly and with great consideration.

C) Low-involvement purchasing decisions are more likely to be influenced by emotional factors, while high-involvement decisions are more likely to be based on rational factors.

D) Low-involvement purchasing decisions are more likely to be made on impulse, while high-involvement decisions are more likely to be the result of a deliberate process of information search, evaluation of alternatives, and decision-making.

In which learning path activity do you analyze cases in a step-by-step manner to understand how the law affects business?.

Answers

A Learning Path activity that involves analyses of cases in a step-by-step manner to understand how the law affects business is  Case Problem Analysis.

What is Case Problem Analysis.?

A case problem analysis can be regarded as a learning path that involves investigation of  a business problem as well as the , examination of the alternative effective solution.

Therefore, Case Problem Analysis involves analyses of cases in a step-by-step manner to understand how the law affects business .

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clients. (Note: Contributions are indicated by positive numbers, withdrawals by negative numbers.) For each manager, calculate: a. her money-weighted return. Do not round intermediate calculations. Ro

Answers

The money-weighted return is a measure of investment performance that considers all cash flows and weights them according to the time when they occurred. It is the rate of return that equates the sum of the present value of cash inflows with the sum of the present value of cash outflows.

The money-weighted return for each manager is calculated by taking the present value of all cash inflows and outflows using the money-weighted method. The present value of cash flows is calculated using the following formula:Where:

PV = present value

CF = cash flow

i = time period

n = total number of cash flows

The money-weighted rate of return for each manager is computed by solving the following equation:Where:PV = the sum of the present value of cash inflows minus the sum of the present value of cash outflows.

PV Inflows = The sum of the present value of all cash inflows.

PV Outflows = The sum of the present value of all cash outflows.

t = number of years between the cash inflows and outflows.

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what is a main reason business needs government regulations? select one: a. to assist in executing worthwhile causes b. to protect the interest of society and consumers c. to help companies be successful d. to provide financial assistance when needed

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b) Businesses need government regulations to protect society and consumers by ensuring ethical operations, fair competition, consumer safety, and environmental sustainability.

The main reason businesses need government regulations is to protect the interest of society and consumers. Regulations ensure that businesses operate ethically, responsibly, and in compliance with standards that safeguard public health, safety, and fair competition. Government regulations help prevent fraudulent practices, misleading advertising, and the exploitation of consumers. They set guidelines for product quality, environmental sustainability, and workplace safety, ensuring that businesses prioritize the well-being of individuals and communities. Regulations also promote fair competition by preventing monopolies, price-fixing, and anti-competitive practices that could harm consumers or stifle innovation. By establishing a level playing field, regulations foster trust and confidence in the marketplace. Moreover, regulations play a vital role in sectors such as finance, healthcare, and food safety, where public oversight is crucial to maintain stability, protect vulnerable populations, and prevent systemic risks. Overall, government regulations balance the interests of businesses with the broader welfare of society and consumers.

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Embellishment or exaggeration is justified when needed for persuasive sales message.

Answers

Embellishment or exaggeration is generally not justified when it comes to persuasive sales messages. While the goal of a sales message is to effectively communicate the benefits and value of a product or service, it is important to maintain honesty and integrity in the process.

Misrepresenting or exaggerating the qualities or capabilities of a product can lead to misleading customers and erode trust. It may result in dissatisfied customers, negative reviews, and potential legal consequences. Building a long-term relationship with customers is often based on trust, transparency, and delivering on promises.

Instead of relying on embellishment or exaggeration, it is more effective to focus on highlighting the genuine strengths and unique selling points of a product or service. Providing accurate and reliable information, addressing customer needs and concerns, and offering evidence-based support for claims can build credibility and enhance the persuasive power of a sales message. Ethical sales practices involve promoting products or services based on their actual benefits and value, while ensuring that customers are well-informed and able to make informed purchasing decisions.

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The _______ system gives both producers and consumers important information they use in making decisions about how to allocate their resources and is determined by forces of supply and demand.
1.) profit
2.)none of the above
3.)price

Answers

I think the a sword to your questions is (3) price.

Suppose a poll will be conducted in Canada tomorrow in which 5000 individuals will be asked whether the sitting government is doing a good or bad job. The 5000 individuals will be selected by random digit telephone dialing and asked the question over the phone. How likely is the sample to be representative?
Q2. Suppose you are the CEO of a volatile business. Using weekly data from the last fiscal year, you observe that returns varied from the smallest value of 15% to the largest value of 75%. One of your managers has reported that the standard deviation of returns is about 2.5%. Does this estimate of standard deviation seem too high or too low? What would you expect the standard deviation of returns to be between? Explain the logic behind your calculations.

Answers

The likelihood of the sample being representative depends on the random of the selection process and the population characteristics.

How does the random digit telephone dialing method ensure representativeness?

The random digit telephone dialing method increases the likelihood of obtaining a representative sample.

By randomly selecting phone numbers, this method aims to include a diverse range of individuals from the population. Since the sample is obtained through random digit dialing, every individual in the population has an equal chance of being selected.

This helps to minimize bias and ensure that the sample is not skewed towards any particular subgroup.

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Help me please 15 points!!!!please help mee

Help me please 15 points!!!!please help mee

Answers

Answer:

D,B,C,A,D

Explanation:

which is the other term for creative thinking?

which is the other term for creative thinking?

Answers

I pretty sure it’s lateral, sorry if I’m wrong

how do you the accounting equation​

Answers

Answer:

1. Assets = Liabilities + Owner Equity.

2. Liabilities = Assets - Owner Equity.

3. Owner Equity = Assets - Liabilities.

except media what else can provide job information

Answers

Answer:

see below

Explanation:

Other sources of job information are

1. Trade or professional associations

They are organizations formed by professionals in the same career path. Members frequently meet to share information regarding developments in their profession.

2. Family and friends working in different organizations

Close friends and relatives are an important source of information for vacancies existing in different workplaces.

3. Educational institutions

In some cases, employers share information on their available job opportunities with schools and colleges.

4. Career or employment agencies

Employment agencies have updated information on various labor requirements for different employers

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Answers

what do you need help with

According to the data set below, what was the GDP per capita in the United States in 2017? Round your answer to the nearest whole dollar.

United States Real GDP and Population, 2013-2017
Year - Real GDP in US dollars - Population
2013 | $16,691,500,000,000 | 316,234,505
2014 | $17,427,600,000,000 | 318,622,525
2015 | $18,120,700,000,000 | 321,039,839
2016 | $18,624,500,000,000 | 323,405,935
2017 | $19,390,600,000,000 | 325,719,178

Answers

The GDP per capita in the United States in 2017 was approximately $59,647.

What was the approximate per capita GDP in the United States in 2017?

To calculate the GDP per capita, we divide the real GDP of the United States in 2017 ($19,390,600,000,000) by the population in the same year (325,719,178). This calculation yields a GDP per capita of approximately $59,647.

GDP per capita is a measure that provides insight into the economic well-being of a country's residents on average. It represents the value of goods and services produced per person in a given year.

In the case of the United States in 2017, the GDP per capita indicates that, on average, each resident would have earned approximately $59,647 if the country's GDP were distributed equally among its population.

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Coronado Company sells merchandise on account for $4600 to Wildhorse Company with credit terms of 2/10, n/30. Wildhorse Company returns $1000 of merchandise that was damaged, along with a check to settle the account within the discount period. What is the amount of the check?

Answers

Answer:

$3,528

Explanation:

The computation of the amount of the check after considering the discount period is shown below:

= Sale value fo merchandise - returned goods - discount paid

= $4,600 - $1,000 - $3,600 × 2%

= $3,600 - $72

= $3,528

By applying the above formula we can get the amount of the check and the same is to be considered

hence, the amount of the check is $3,528

on what grounds is the Trump administration investigating imposing tariffs on imported automobiles?

Answers

Answer:

The clock has run out on President Donald Trump's "Section 232" tariffs on imports of foreign-made cars and auto parts, after he failed to announce a decision by a self-imposed deadline, trade law experts say.

The U.S. administration may have to find other means if Trump wants to tax European or Japanese car imports, a key part of the U.S. president's pledge to make America's trade relationships more fair, the experts say.

Describe at least four ways you can take money out of a checking account. (1-4 sentences. 2.0 points)

Answers

Answer:

write a check, use an ATM, fill out a withdrawal slip and take it into the bank

Which advantage of a sole proprietorship could also be a disadvantage?.

Answers

Answer:

Unlimited liability

Explanation:

Question 2(Multiple Choice Worth 5 points)
(01.07 MC)
Suppose you live in a country with a proportional tax system. You make $20,000 a year and pay $5,000 in taxes. Your
friend makes twice as much money as you. What amount can your friend expect to pay in taxes this year?
A. $2,500
B. $5,000
C. $10,000
D.$20,000

Answers

Answer: C. $10,000

Explanation:

Proportional tax system means you pay a certain percent of what you earn, in this case it is 25%. Therefore your friend making twice as much as you will be taxed twice as much as you, making the answer C. $10,000.

Other Questions
if you were a genetic counselor how would you counsel individual iv-9 ______ lines are two lines that ibtersect at 90.(a). perpendicular(b). parallel(c). non-parallel(d). none of the above DONT IGNORE PLEASE HELP! Can a person love their home and still have problems with things that happen there? Describe a time when you experienced this. Explain your response in at least 10 lines long. During the campaign, Andrew Jackson promoted his version of democracy in which the majority would rule and the power would be taken away from the rich, elite and given totally to the people. This became known as . . . In a random sample of 325 students at a university, 276 stated that they were nohsmokers. Based on this sample, compute a 95% confidence interval for the proportion of all students at the university who are nonsmokers. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: 0 Upper limit: 0 ? We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is less than 2.4 penalties per game. So, we choose a random sample of games. The sample has a mean of 2.5 penalties per game and a standard deviation of 0.6 penalties per game. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 0.75. Oz= Ot= . It is unclear which test statistic to use. x 6 (b) The sample has size 17, and it is from a normally distributed population with an unknown standard deviation. 0 O2= Ot It is unclear which test statistic to use. 1. Write in the symbol that makes this statement true30,000+ 7,000 + 8(3 X 10,000) + (7 X 100) + (8 X 1) Which term is used to describe how light is reflected from a minerals surface What is the inverse of the function f(x) = 1/9x+2 6. A 40-pound bale of hay costs $12. Find the unit rates. How much hay can be purchased for $1? How much does 1 pound of hay cost? what are the four system of measurement abby co. allows each employee two weeks of paid time off during each calendar year. since employees are working for 50 weeks, rather than 52 weeks, abby must accrue the paid time off during the 50 weeks that the employees work. the year-end adjusting entry is recorded as a credit to the account. multiple choice question. employee taxes payable vacation benefits payable employee wages payable Question11.List various prototype techniques and their application2. Classify the various rapid tooling techniques and theirapplication Is 5,517,552 divisible by 2?Yes or No HELPP PLS ILL MARK U BRAINLIST Because ions carry a charge (positive or negative), their transport across a membrane is governed not only by concentration gradients across the membrane but also by differences in charge across the membrane (also referred to as membrane potential). Together, the concentration (chemical) gradient and the charge difference (electrical gradient) across the plasma membrane make up the electrochemical gradient.Consider the plasma membrane of an animal cell that contains a sodium-potassium pump as well as two non-gated (always open) ion channels: a Na+ channel and a K+ channel. The effect of the sodium-potassium pump on the concentrations of Na+ and K+ as well as the distribution of charge across the plasma membrane is indicated in the figure below.Which of the following statements correctly describe(s) the driving forces for diffusion of Na+ and K+ ions through their respective channels? Select all that apply.- The diffusion of Na+ ions into the cell is facilitated by the Na+ concentration gradient across the plasma membrane.- The diffusion of K+ ions out of the cell is impeded by the electrical gradient across the plasma membrane.- The electrochemical gradient is larger for Na+ than for K+. Matthew wrote the following simple sentence:I enjoy playing video games.How could Matthew revise this sentence to create a complex sentence? Add another simple sentence, like and creating videos. Add an independent clause, like and my brother likes swimming. Add a subordinate clause, like because I win them quickly. Add another verb, like and reviewing. Suppose that f(x) = 5x^3 + 4x(A) Find all critical values of f . if there are no critical values enter -1000 . if there are more than one , enter them separated by commas. Critical value(s) = ______(B) Use interval notation to indicate where f(x) is increasing .Note : When using interval notation in WeBWork , you use I for [infinity], - I for [infinity], and U for the union symbol. If there are no values that satiafy the required condition, then enter "{}" without the quotation marks.Increasing : ______(C) Find the x-coordinates of all local maxima of f. If there are no local maxima , enter -1000 . If there are more than one , enter them separated by commas.Local maxima at x = ________(D) Find the x-coordinates of all local minima of f . If there are no local minima , enter -1000 . if there are more than one , enter them separated by commas.Local minima at x = _________ Elizabeth hitchman and nicole Wallace are partners in Gold Coastbasis of either partners interest in Gold Coastventures would be increased by Streif Company uses the perpetual inventory method. The company purchased an item of inventory for $80 and sold the item to a customer for $120. What effect will the sale have on the company's inventory account?