A paint manufacturer’s latex paint requires 130 minutes, on average, to dry. A new additive is being tested to determine if it reduces the mean drying time of this paint. The drying times, in minutes, for a random sample of forty-five randomly selected cans of this manufacturer’s paint (with additive) are shown in the following table displays the data in minutes. Does this sample provide evidence that the additive reduces the paint’s drying time?

123 109 115 121 130 104 134 122 132 127 106 120 116 136 123 118 112 127 131 128 136 110 133 125 117 131 119 122 133 119 135 109 116 105 118 113 126 117 125 111 127 131 114 110 122

(e) Compute the P-value; report your answer with at least four digits after the decimal point. Write a sentence, or two, describing the process you used to determine the P-value. If, for example, you use a TI-84+ calculator or an iOS app or an Android app or Excel or StatCrunch, etc., state this, give the name of the specific function within that technology that you use, and describe the information you had to enter in order to execute the function. If, instead, you use an online app, provide the URL and describe the information you had to enter in order to execute the function. [1.5 pts]

(f) Use the appropriate symbols and values to communicate the specific conditional probability that the P-value represents in this specific problem and write a sentence, or two, describing the specific event in the context of this specific problem which has probability equal to the P-value of occurring. [1 pt]

(g) If this hypothesis test is performed at the 1% level of significance, what do you conclude? Please write your conclusion in plain English about whether-or-not the additive reduces the average drying time of this manufacture’s latex paint. [1.5 pts] (h) If the paint additive does not, in fact, reduce the drying time of this manufacturer’s latex paint, have you made either a Type I or Type II error in part

(h)? If you have made an error, tell which kind of error (Type I or Type II) you made and explain why; if no error has been made, explain why

describe

1. explain how to find the stationary state in a Solow model

2. Explain how the economy behaves out of the stationary state in a Solow model.

Public school policy at the state or local level. Give an example of how the actors in the local or state government and/or how the structure of the government affects decisions about the public.

You have gathered information about the expected returns and standard deviations of two stocks, which is given in the table below:

a. Discuss which stock is more attractive and why? (hint: think about the assumptions first)

You are going to form a portfolio, which includes these two stocks. The value of your total portfolio is 800 000 and investment into stock B is 60% of the total portfolio.

b. It is estimated that the correlation between the stock returns is -0.50. Explain, what does this result mean?

c. Calculate the portfolio risk and expected return, and explain the benefits of diversification.

(Show your work, you may upload the solution file)

You have gathered information about the expected returns and standard deviations of two stocks, which is given in the table below:

a. Discuss which stock is more attractive and why? (hint: think about the assumptions first)

You are going to form a portfolio, which includes these two stocks. The value of your total portfolio is 800 000 and investment into stock B is 60% of the total portfolio.

b. It is estimated that the correlation between the stock returns is -0.50. Explain, what does this result mean?

c. Calculate the portfolio risk and expected return, and explain the benefits of diversification.

(Show your work, you may upload the solution file

2. Consider the Solow growth model. Suppose that the production function is constant returns to scale and it is explicitly given by: Y = K^aL^1-a

a. What is the level of output per capita, y, where y = Y/L?

b. Individuals in this economy save s fraction of their income. If there is population growth, denoted by n, and capital depreciates at the rate of d over time, write down an equation for the evolution of capital per capita, k, k = K/L over time, denoted by Δk.

c. On a Solow diagram show the steady state levels of k, y, c and i.

d. Assume that the country is in its steady state. Explain what happens if half the population dies and half of the capital stock, K, is lost due to civil conflict. Illustrate your answer on a Solow diagram.

Lynbrook, Inc. was formed on January 2, 2015 with the authorization to issue 300,000 shares of $10 par value common stock and 20,000 shares of $100 par value cumulative preferred stock. During 2015, all the preferred stock was issued at par, and 170,000 shares of common stock were sold for $25 per share. The preferred stock is entitled to a dividend equal to 8 percent of its par value before any dividends are paid on the common stock.

During its first five years of business (2015 through 2019), the company earned income totaling $4,200,000 and paid dividends of 40 cents per share each year on the common stock outstanding as of December 31.

On January 2, 2017, the company purchased 20,000 shares of its own common stock in the open market for $300,000. On January 2, 2019, it reissued 15,000 shares of this treasury stock for $270,000. The remaining 5,000 were still held in treasury at December 31, 2019.

Instructions

a. Prepare the stockholders' equity section of the balance sheet for Lynbrook, Inc. at December 31, 2019. Include supporting schedules showing (1) your computation of any paid-in capital on treasury stock and (2) retained earnings at the balance sheet date. (use the Review Problem at end of Chapter 10, page 550-552, as a guide for your solution)

b. At December 31, 2019, shares of the company's common stock were trading at $30. Explain what would have happened to the market price per share had the company split its stock 3-for-1 at this date. Also explain what would have happened to the par value of the common stock and to the number of common shares outstanding.

In Chapter 5, the book touches on Diffusion of Innovation on page 152 but I wanted to provide you with a little more detail on the topic. It's really important when you think about change- this could be the kind of change that comes when you develop a new product, modify an existing one, or make any kind of organizational change. It's all about how to people adopt (or accept) innovation.

The process by which the use of an innovation- whether a product, a service, or a process- spreads throughout a market group, over time and across various categories of adopters is diffusion of innovation. The theory around diffusion of innovation helps marketers understand the rate at which consumers are likely to adopt a new product or service. It also helps them to identify potential markets and predict sales for their new products.

In the diffusion of innovation theory, five adopter groups have been identified: innovators, early adopters, early mainstream, late mainstream, and laggards (or lagging adopters). I've attached a visual representation of the diffusion of innovation- you will notice it makes a bell curve.

Innovators- are buyers who want to be the first to have a new product or service. They enjoy taking risks and are regarded as highly knowledgable. They are generally very well informed about a certain product category. While they represent only 2.5% of the total market for a new product, they are crucial to the success of any new product because they usually talk a lot about the products and review them vocally.

Example: Think of a person who drives a self-driving car prototype as an innovator OR think of Steve Jobs and the folks at Apple as they created iPhones/iPads, etc.

Early Adopters- This group consists of about 13.5% of all buyers. They generally don’t take as much risk as innovators (they wait to see what innovators say about a product) but they are regarded as opinion leaders for particular product categories as the other three buyer categories often rely on their feedback.

Example: When the iPhone was first released, the very first buyers would be early adopters.  

Early majority- this group represents about 34% of all buyers. This group is crucial because a product usually doesn’t become profitable until this large group purchases it. If this group never becomes large enough, the product or service can fail. The early majority doesn’t take as many risks and tends to wait until the bugs are worked out of a particular product or service.

Example: When the bugs were worked out on the iPhones, this group bought. They waited until the product was purchased and reviewed by the early adopters.

Late majority- this group also represents about 34% of all buyers. This is the last group of buyers to enter a new product market. When they do, the product has achieved its full market potential. By the time this group enters the market, sales tend to level off or may be in decline.  

Example: After several versions of the iPhone were released, they finally decided to ditch their Blackberry and purchase.

Laggards- this group represents about 16% of the market. These consumers like to avoid change and rely on traditional products until they are no longer available.

Example: Laggards STILL use flip phones. They will probably use flip phones until they are no longer manufactured. They resist change at all costs.

I use the example of phones but it's important to keep in mind that the Diffusion of Innovation can apply to just about anything. It's also important to remember that people are not set in their adopter group for every product- it can vary. For example, my stepdad would be a laggard when it comes to phones (he still uses a flip phone). However, he might be considered an early adopter or early mainstream when it comes to golf clubs. He's much more likely to purchase a newer model of golf club than a new phone. So....don't think of people as being stuck in their adopter group, it can certainly vary based on the product/service/process.

What affects the rate of adoption?

Some of the things that affect the rate include:

Relative advantage- this is the degree to which the innovation appears superior to existing products. Example: Electric cars were adopted quickly because of their advantage over gas powered cars.

Compatibility- The degree to which the innovation fits the values and experiences of potential customers. Example: Electric cars are driven the same way as gas powered cars so they fit the experiences of drivers.

Complexity- The degree to which the innovation is difficult to understand or use. Example: This is where self-driving cars may struggle because it's hard to understand how that could be safe.

Divisibility- The degree to which the innovation may be tried on a limited basis. Example: consumers can test-drive electric or self-driving cars which helps increase the adoption rate.

Communicability- The degree to which the results of using the innovation can be observed or described to others. Example: If you can easily describe or demonstrate how to use a self-driving car and how the technology works, you will increased adoption.

Discussion Board Assignment Instructions:

1. Identify a product or service you use where you may be considered an early adopter. Explain.

2. Identify a product or service you use where you may be considered early mainstream or late mainstream. Explain.

3. Identify a product or service you use where you may be considered a laggard. Explain. (We are all laggards in some area. Confession- I still love have the old school Uggs but I don't wear them in public anymore).  

You’ve been asked to provide training on conflict management in the workplace. You will create a presentation to give people at your workplace techniques for dealing with conflict.

To prepare for this assignment:

• Consider a time you were witness to, or involved in, a conflict at work. Imagine your supervisor has asked you to help the team, and the firm, by creating a PowerPoint presentation about conflict management in the workplace.
• Research company guidelines (your own workplace and/or others) and conflict management techniques.

Create a PowerPoint presentation of 8-10 slides:

• Include a title slide
• Include 1-2 slides in which you briefly detail the conflict you were witness to or involved in, parties/departments involved, and resolution.
• Provide slides describing specific techniques for positive and proactive conflict management.
• On the remaining slides, relevant identify employee policy, procedure, and protocol for attention to conflict in the workplace.
• Also consider including a list of what NOT to do.

Be sure to properly cite any sources used with in-text citations (author last name, year) and a final references slide in APA format.