You may need to use the appropriate technology to answer this question.

A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.

Test for any significant main effects and any interaction. Use α = 0.05.

Find the value of the test statistic for factor A. (Round your answer to two decimal places.)

Find the p-value for factor A. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor A.

Because the p-value ≤ α = 0.05, factor A is not significant.Because the p-value > α = 0.05, factor A is significant.    Because the p-value > α = 0.05, factor A is not significant.Because the p-value ≤ α = 0.05, factor A is significant.

Find the value of the test statistic for factor B. (Round your answer to two decimal places.)

Find the p-value for factor B. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor B.

Because the p-value > α = 0.05, factor B is not significant.Because the p-value ≤ α = 0.05, factor B is significant.    Because the p-value > α = 0.05, factor B is significant.Because the p-value ≤ α = 0.05, factor B is not significant.

Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)

Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)

p-value =

State your conclusion about the interaction between factors A and B.

Because the p-value > α = 0.05, the interaction between factors A and B is not significant.

Because the p-value > α = 0.05, the interaction between factors A and B is significant.    

Because the p-value ≤ α = 0.05, the interaction between factors A and B is not significant.

Because the p-value ≤ α = 0.05, the interaction between factors A and B is significant.

You may need to use the appropriate technology to answer this question.

A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.

Test for any significant main effects and any interaction. Use α = 0.05.

Find the value of the test statistic for factor A. (Round your answer to two decimal places.)

Find the p-value for factor A. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor A.

Because the p-value ≤ α = 0.05, factor A is not significant.

Because the p-value > α = 0.05, factor A is not significant.  

Because the p-value ≤ α = 0.05, factor A is significant.

Because the p-value > α = 0.05, factor A is significant.

Find the value of the test statistic for factor B. (Round your answer to two decimal places.)

Find the p-value for factor B. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor B.

Because the p-value > α = 0.05, factor B is significant.

Because the p-value ≤ α = 0.05, factor B is not significant.    

Because the p-value ≤ α = 0.05, factor B is significant.

Because the p-value > α = 0.05, factor B is not significant.

Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)

Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)

p-value =

State your conclusion about the interaction between factors A and B.

Because the p-value ≤ α = 0.05, the interaction between factors A and B is not significant.

Because the p-value > α = 0.05, the interaction between factors A and B is not significant.    

Because the p-value ≤ α = 0.05, the interaction between factors A and B is significant.

Because the p-value > α = 0.05, the interaction between factors A and B is significant.

A random sample of 100 employees from 5 different companies was randomly selected, and the number who take public transportation to work was recorded. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion who take public transportation to work is the same in all 5 companies. Use α= 0.01.

a) State the hypothesis and identify which one is the claim. H0 : ________ H1: ________

b) Find the test statistic and corresponding P-value.

c) Make a decision about your hypothesis test. Reject or do not reject the null hypothesis?

d) Interpret your results in terms of the application.

1. Pick a topic to investigate. Be certain to cite your source(s). You may research a topic about a population mean or a population proportion. Specify whether you are choosing the mean or proportion in your report. Explain why you find this topic interesting.

2. Collect or find a source to compare data on the same topic. If you are using a source, it should be cited. Create a confidence interval from the sample. For a sample proportion, use one-prop z interval. For a sample mean, select the T-interval. Be certain to test the conditions. Select your level of confidence: it should be 90%, 95% or 98%. Determine the margin of error for the interval. What is your sample size? How can you decrease your margin of error?

3. Test a hypothesis using the value that you obtained in part two about either the true population proportion or true mean. What are your null and alternative hypotheses? Do you have enough evidence to reject the null hypothesis when α=0.05.

4. Explain what the P-value means in the context of the situation.

5. Calculate the test statistic. Can you conclude whether to reject or fail to reject the null hypothesis by using your test statistic? Explain. Show calculations.

6. When you created your confidence interval in part 3, did that contradict your findings for the hypothesis test? Explain.

7. Write a conclusion regarding your findings.

Example: According the WorldAtlas.com “approximately 79% of the world’s population has brown eyes, which makes it the most popular color in the world.”

17. For time t on the interval [0, 8], people arrive at a venue for an outdoor concert at a rate
modeled by A(t) = 0.3sin(1.9t) + 0.3cos(0.6t) + 1.3. For time t on the interval [0, 1], no one
leaves the venue, but for t on the interval [1, 8], people leave the venue at a rate modeled by
L(t) = 0.2cos(1.9t) + 0.2sin t + 0.8. Both functions A(t) and L(t) are measured in hundreds of
people per hour, and t is measured in hours. The number of people at the venue, in hundreds, at
time t hours is given by the function P(t).
a. At time t = 2, there are 6 hundred people at the venue. Write an equation for the locally linear
approximation of P at time t = 2, and use it to approximate the number of people at the venue at
time t = 2.5 hours. (Locally linear means we can pretend that the graph of function P is a line.)

b. What is the instantaneous rate of change of P at time t = 4 hours? Indicate units of measure.

c. At time t = 2, there are 6 hundred people at the venue. Find how many people are at the
venue at time t = 5 hours.

d. Find P′′(5). Using correct units, interpret the meaning of P′′(5) in the context of this problem.

e. Is there a time t on the interval (1, 8), at which the rate of change of the number of people at
the venue changes from negative to positive? Justify your answer.

f. A rectangular “standing-only” section at the venue changes size at t increases in order to
manage the flow of people. Let x represent the length, in feet, of the section, and let y represent
the width, in feet, of the section. The length of the section is increasing at a rate of 6 feet per
hour and the width of the section is decreasing at a rate of 3 feet per hour. What is the rate of
change of the area of the section with respect to time when x = 16 and y = 10?
Indicate units of measure in your answer.

A rigid massless rod is rotated about one end in a horizontal circle. There is a load of mass m attached to the center of the rod, and one of mass M attached to the outer end of the rod. The inner section of the rod sustains a tension that is three times as great as the tension that the outer section sustains. The mass ration of m/M is?

Answer is 1

WHY?

Red Carpet LLC is a national hospitality and entertainment company with headquarters in Philadelphia, PA with national operations in the US. Historically, the company has had 3 divisions: hotels, food service, and cruise lines. However, it recently completed the acquisition of Sparkstar theaters, a movie theater company, that it is slated to become its 4th division. Red Carpet now owns 200 hotels in 48 states, 4 brands of restaurants with 1776 locations, 4 Buoy Bay branded cruise ships, and 300 Sparkstar theaters.

Its matrix organizational structure consists of a central HR, accounting, business development, sales, marketing, and research and development departments located at the headquarters in Philadelphia that serve each division. Each division is located in a different part of the US and lead by a VP that reports to the President and CEO. The company is privately owned by a consortium of investors and investor groups.

Red Carpet has 16,000 employees, 1000 of which work at its corporate headquarters. The organizational culture of the headquarters is informal and organic and there are few policies and processes that guide employee behavior. The company, as a whole, does not value HR so employees struggle with many employee relations and employment law concerns. The company outsources all of its training to one of the investor group companies, however this training is commonly not customized to the needs of Red Carpet.

As a whole, Red Carpet struggles with its business to business partners and suppliers because of its reputation for being nonnegotiable. Red Carpet would rather disrupt the quality and availability of its only products and services rather than partner for the supply chain resources that it needs. Likewise, Red Carpet does not hold many of the General Managers in its hotels, restaurants, and its cruise ships accountable for performance, opting instead for a weaker political strategy of blaming and gotcha games.

Being aware of these challenges, Red Carpet acquired Sparkstar for their strong industry reputation and financial performance in the hopes that merging the structure and culture of Sparkstar into Red Carpet would change the organization for the better. Historically, Red Carpet has been a highly successful company, however in recent years, its mismanagement has created noticeable effectives in product and service quality and its bottom line.

Divisions

Hotels: Red Carpet branded hotels are mid-price semi-luxury hotels known for high quality. Each customer is given a red velvet cupcake upon checking in. Red Carpet relies on its General Managers to micromanage the hotel. Despite its corporate parent owning a restaurant division, no Red Carpet hotels have restaurants. The Red Carpet division headquarters are in Sedona AZ. Many of the hotels are in need of refurbishment.

Food Service: Chicken Heaven is a fast-food chain with a long tradition of quality, large customer base, and 1000 locations. It is a solid overall performer for Red Carpet with high employee satisfaction. Burger Blast is another fast-food chain recently launched to cater to upscale customers who seek customized, gourmet-style burgers. It has 200 locations, however General Managers are struggling with budget and supplies causing a poor customer experience and high employee turnover. Food Park is a buffet-style restaurant with 500 locations that has been recently struggling because of high competition and poor marketing. Delicacy is a high-end restaurant with an urban theme. It has 76 locations, is the oldest of Red Carpet's food service operations, and provides a unique dining experience for customers. However, General Managers have a high turnover at Delicacy because of the grueling schedule. The food service division is located in Burke, ID.

Cruise Ships: Buoy Bay cruise ships offer low-cost, short-term cruises from Port Canaveral, FL only to the US Virgin Islands. Buoy Bay offers customers average quality staterooms and food from Chicken Heaven, Burger Blast, and Food Park. However, it does not offer a non-buffet formal dining option such as Delicacy. Although they are known for their over-the-top entertainment, employee turnover is very high relying primary on seasonal employees who are poorly trained. Buoy Bay has had much controversy. Just 5 years ago, the Buoy Bay cruise ship, Garland of the Sails, hit a reef, partially sank, and had to be salvaged in a 1.5 billion dollar operation. This resulted in a Federal investigation that is still pending. The Buoy Bay division is located in Lapsowanne, OR.

Movie Theaters: Sparkstar theaters were recently purchased from the Vegamega group for 2.3 billion dollars. Sparkstar is the highest rated movie theater chain the US. It has high customer and employee satisfaction, an efficient organizational structure, and solid financial results. Sparkstar's culture is one of high HR involvement including a strong training and development department, Sparkstar Institute. Sparkstar has a customer rewards program that provides a free movie rental of the film that the customer saw in the theater which has been very popular and has increased its strong customer base. Sparkstar has its divisional headquarters in Pasadena, CA.

The Issues

With the purchase of Sparkstar theaters, Red Carpet is hoping to redefine its operations in the next 5 years. It sees opportunities to integrate its divisions, products, and services to better serve its customers and employees. Here is a summary of some of the issues that Red Carpet must address in its strategic plan:

Internal politics and communication
Improved HR and training
Employee relations issues
Federal investigations
Product and service quality
Marketing support
Performance issues
Redefining the organizational structure
Improving its organizational culture
Integrating products and services
Resource and supply chain issues

Your Role

Leroy Banks, the Director of Change management at Red Carpet is seeking an Organization Development Consultant to address Red Carpet's need for change. You've just received a consulting contract from him to help prepare a plan to assist Red Carpet. You're excited about the opportunity and are motivated to work on this project. You know that your insight will assist Red Carpet with managing organizational change.

Leroy Banks is the Director of Change Management for Red Carpet, a national hospitality and entertainment company. He has contracted you to be an OD Consultant because Red Carpet has recently acquired a movie theater company and needs to create a new division. Leroy realized that this acquisition has provided an opportunity to restructure some other parts of the Red Carpet as well so it can streamline its operations. Leroy has asked you to begin by assessing Red Carpet’s organizational environment.

Review the Red Carpet scenario for this course and with your classmates; discuss the following questions that will help you become familiar with Red Carpet:

Identify and describe 3 examples of external forces affecting Red Carpet.
Identify and describe 3 examples of internal forces affecting Red Carpet
What challenges have these forces created at Red Carpet?

Purpose

An effective way to engage with the topic of writing is to consider how writing matters in various communities on a daily basis. This paper provides the chance to reflect in a personal way about a writing community you successfully joined by learning how to use the language and reasoning skills of that community. By using personal experiences and anecdotes, you will trace your movement from an outsider to an insider in a particular community. Examples of writing communities include a specific workplace, a sports team, a church community, a social or college club, a different country and language, a specific discussion forum--online or in-person.

Task

Write a 3-5 page personal narrative that explores a particular writing community that you are very familiar with and that you feel comfortable discussing with your peers. This writing community should be one that you have chosen, rather than one you were born into. Pick a clear writing community, explain and analyze the writing community’s specific language practices and value system, and show readers that you have become a full member of this community by learning those language practices. Follow these specific steps:

1. Include a main point or take-away (thesis) in the beginning of your essay to clearly indicate to readers what the essay is about and what overall point you wish to make.
2. Identify the community’s specific reasoning (logos), its values and emotions (pathos) and explain how you built your credibility (ethos) as a new community member.
3. Explain some of the tensions and limitations of this writing community: do some members demand or disapprove of certain language use?
4. Use what cultural anthropologist Clifford Geertz calls “thick description” in your essay to identify a particular setting, mood, and people’s characteristics (names, ages, etc.). Show, rather than tell, by using sensory details in your own writing that cue readers to visual, auditory, olfactory, tactile, and kinesthetic aspects.
5. Highlight one or two particular incidents (anecdotes) in which the community’s language practices are nicely evident.
6. You may use quotes from individuals of this community, or from texts the community uses. Make sure to integrate such quotes into your essay.
7. Your audience are your peers and myself, your instructor. Thus, tailor the language of your essay to us, your real audience, and use a style that is distinctly your own.

3. Solve the following linear programming problem. You must use the dual. First write down the dual maximization LP problem, solve that, then state the solution to the original minimization problem.

(a) Minimize w = 4y₁ + 5y₂ + 7y₃

Subject to: y₁ + y₂ + y₃ ≥ 18

2y₁ + y₂ + 2y₃ ≥ 20

y₁ + 2y₂ + 3y₃ ≥ 25

y₁, y₂, y₃ ≥ 0

(b) Making use of shadow costs, if the 2^nd original constraint changed to

2y₁ + y₂ + 2y₃ ≥ 24, now what will the minimum of w be? Explain clearly.

(c) Making use of shadow costs, if the 1^st original constraint changed to

y₁ + y₂ + y₃ 21, now what will the minimum of w be? Explain clearly.