You have the following financial statements for two building companies and have been asked to compare them:

Income statements for the year to 31st December 2019

Statements of financial position as at 31st December 2019

Additional information:

• All purchases and sales were on credit”

Required:

1. Calculate the following ratios for each company.

1. Pre-tax Return on Equity (use total shareholders’ funds as your denominator)
2. Operating profit margin
3. Net profit (before tax) margin
4. Trade receivable (debtor) period in days
5. Current ratio
6. Acid test ratio (Quick ratio)
7. Gearing ratio (use debt + equity as your denominator)
8. Interest cover
9. Dividend cover
10. Dividend per share (in pence)

[30 marks]

2. “Amy Ltd supplies, installs and maintains burglar alarms systems for business clients. The accountant has provided a horizontal analysis and is concerned about the firm's performance.”

Required: provide a brief report on the results of the analysis? Comments should include any concerns you may have.

(Maximum word count: 100)

John Hoke owns Hoke’s Spokes, a bicycle shop. Most of John’s bicycle sales are customer orders. However, he also stocks bicycles for walk-in customers. He stocks three types of bicycles: 1) road bike, 2) e-bike and 3) mountain bike. From his overseas supplier, the cost to obtain each type of bike are: road bike $1,200, e-bike $1,700 and mountain bike $900. He sells road bikes for $1,800, e-bikes for $2,100 and mountain bikes for $1,200. His profit is the difference between sales price and cost. He has $12,000 available this month to import bikes. Each bike must be assembled; a road bike requires 8 hours to assemble, an e-bike requires 12 hours and a mountain bike requires 16 hours. He estimates that he and his employees have 120 hours available to assemble bikes. He has enough display space in his store for 20 bikes this month. Based on past sales, John wants to stock at least twice as many mountain bikes as the other two combined because mountain bikes sell better.

(a) Formulate a linear programming model for this problem and write it down in the space here:

(b) Solve the linear programming model formulated in (a) using “solver” tool in Excel, making sure to request an answer report and a sensitivity report (attach these reports to the Word file). What is the optimal number of each type of bike to import? Road bike ____ e-bike ____ Mountain bike _____

(c) Should John Hoke try to increase his budget for purchasing bikes, or is it better for him to rent extra space to stock more bikes or is it better to increase labour hours to assemble bikes? Why? John is better to increase the assembly hours he has available

(d) By how much would the profit margin (in $) have to rise on an e-bike before it would be optimal to include at least one e-bike in John’s import order? Explain your answer.

(e) Suppose that John’s employees went on strike and demand an increase of $5 per hour. Can he afford to pay them? Explain your answer.

Write a report on your answer to the following question.Your report need be typed using a text editor (such as Word document) with the relevant MINITAB outputs and plots copied and pasted onto the document. The answer should include
1.Description of the sample data including the study variables, design and study units
2.Details of the research question
3.The choice of the hypothesis test with justification
4.Exploratory data analysis including:
-Appropriate summary statistics from MINITAB-Appropriate plots from MINITAB with interpretation
-Any comments regarding trends in the data to support the research question
4.The null and alternative hypotheses of the hypothesis test
5.Details of the formal statistical analysisincluding:
-Informationon the test statisticandthe underlying distribution,
-Relevant MINITAB output for the test
-The test statistics, p-value and confidence intervals with appropriate interpretation
6.Test decision and conclusion
7. Assumptions of the hypothesis test including:
-Details of the assumptions
-Relevant MINITAB outputs with interpretation
-Conclusion
8.Summary of results and further comments if any.
ANALYSIS
All analysis must be undertaken in MINITAB

A study was conducted to investigate the concentration of hydrophobic organic substances such as Aldrin in the Wolf River in Tennessee. Aldrin concertation measurements (in nanograms per litre) were taken downstream of an abandoned dump site that had previously been used by the pesticide industry to dispose of its waste products. It was expected that Aldrin concentration might have a nonhomogeneous vertical distribution in the river because of differences in density between these compounds and water and because of the adsorption of these compounds on sediments, which could lead to higher concentrations on the bottom. As a results water samples from surface, mid depth and bottom of the river were collected at random and measured for Aldrin concentration.The following data were obtained:

At 5% level of significance, test fora difference in mean Aldrin concertation among the three depth levels;if there is a difference identify which depth levels have produced the difference

Learning Outcome: please long answer and no hand writing

3. Describe the impact of diversity and the changing workforce on organizations and organizational performance.

4. Examine the role of HR as a strategic partner in an organization

Assignment Workload:

This assignment is an individual assignment.

The word count for this assignment must be between 800 to 1000 words

Case Study

B.R Investments is a reputed finance company having 15 branches in different part of the country. In the home office there are more than 200 employees. This company has a performance rating under which the employees are rated at six months intervals by a committee of two executives. Graphic scales have been used as means of appraisal. The qualities considered are responsibility, initiative, and interest in work, leadership potential, co-operative attitude and community activity. After the performance is evaluated, the ratings are discussed with the concerned employees by their immediate boss who counsels them. The ratings aroused to influence promotions and salary adjustments the employees and also as a criterion for assigning further rating for them.

Recently three employees of the company called on the company’s president to express their dissatisfaction with the ratings they had received. Their scores and composite ratings had been discussed with them. Because their ratings were comparatively low, they had been denied annual increments in salary. Approximately, two thirds of all the employees received such increments. The aggrieved employees argued that their ratings did not accurately represent their qualifications or performance. They insisted that “community activity” was not actually a part of their job and that what they do off the job is none of the company’s business. They expressed their opinion that employees should organize union and insist that salary increase be automatic.

The threat of a union caused concern to the officers of the company. This particular experience convinced the top officers that ratings may represent a serious hazard to satisfactory relationship with employees. Even the chief executive finds that performance appraisal is a dangerous source of friction and its hazards outweigh its values; so it should be discontinued altogether.

Questions:

1. How far do you agree with the management that performance appraisal should be discontinued?

2. If you were the HR manager, how would you tackle the situation?

3. What modifications would you suggest in the performance appraisal system of the company?

this assignment requires you to interview one person and requires an analysis of your interview experience. Part I: Interview Select a patient, a family member, or a friend to interview. Be sure to focus on the interviewee's experience as a patient, regardless of whom you choose to interview. Review The Joint Commission resource which provides some guidelines for creating spiritual assessment tools for evaluating the spiritual needs of patients. Using this resource and any other guidelines/examples that you can find, create your own tool for assessing the spiritual needs of patients. Create a survey to assess the subject's spiritual need during the interview. The spiritual needs assessment survey needs a minimum of five questions that can be answered during the interview. During the interview, document the interviewee's responses. Submit the transcript of the interview. The transcript should include the questions asked and the answers provided. Be sure record the responses during the interview by taking detailed notes. Omit specific names and other personal information from the interview. Part II: Analysis Write a 500-750 word analysis of your interview experience. Be sure to exclude specific names and other personal information from the interview. Instead provide demographics such as sex, age, ethnicity, and religion. Include the following in your response: What went well? What would you do differently in the future? Were there any barriers or challenges that inhibited your ability to complete the assessment tool? How would you address these in the future or change your assessment to better address these challenges? Describe the spiritual experience you had with your patient, family member, or friend using this tool. How does this tool allow you to better meet the needs of your patient? Did you discover that illness and stress amplified the spiritual concern and needs of your interviewee? Explain your answer with examples. Submit both the transcript of the interview and the analysis of your results. Prepare this assignment according to the APA guidelines found in the APA Style Guide, located in the Student Success Center. An abstract is not required. This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.

Morrow Enterprises Inc. manufactures bathroom fixtures. The stockholders’ equity accounts of Morrow Enterprises Inc., with balances on January 1, 20Y5, are as follows:

The following selected transactions occurred during the year:

1. (2pt) A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called

2. (1pt) The model y= β0+β1x1+β2x12+ε is called

3. (2pt) Which of the following tests is used to determine whether an additional set of variables (more than one independent variables) makes a significant contribution to a multiple regression?

4. (1pt) When dealing with the problem of non-constant variance, the log transformation means using

5. (1pt) A variable such as Z, whose value is Z = X₁X₂ is added to a general linear model in order to account for potential effects of two variables X₁ and X₂ acting together. This type of effect is

6. (1pt) In multiple regression analysis, the word linear in the term "general linear model" refers to the fact that

     7. (1pt) A term used to describe the case when the independent variables in a multiple regression model are correlated is

             a. regression

             b. correlation

             c. multicollinearity

             d. None of the above answers is correct

     8. (1pt) All the independent variables in a multiple regression analysis

             a. must be quantitative

             b. must be either quantitative or categorical but not a mix of both

             c. must assume only positive values

             d. can be either quantitative or categorical

COMP1805AB (Fall 2019)  "Discrete Structures I" Specification for Assignment 1 of 4

Please ensure that you include your name and student number on your submission. Your submission must be created using Microsoft Word, Google Docs, or LaTeX.

1. Translate the following English expressions into logical statements. You must explicitly state what the atomic propositions are (e.g., "Let p be proposition ...") and then show their logical relation.

   1. If it is red then it is not blue and it is not green.

   2. It is white but it is also red and green and blue.

   3. It is black if and only if it is not red, green, or blue.

2. Determine if the following expressions are tautologies, contradictions, or contingencies by using only truth tables. Show all your work and do not skip any steps (i.e., ensure you that you include a new column for every single operation and that you state at the end whether each expression is a tautology, contingency, or contradiction).

   a. ¬(?∧(¬?∨(?→?)))
   b. (? ∨(? ↔(¬?∧ (? ∨?))))

   c. (? ∧¬(? ∧(? ∨(? ↔?))))d. ¬(?∨¬(?→(?∧?)))

3. Determine if the following expressions are tautologies, contradictions, or contingencies by using only the logical equivalences. Show all your work and do not skip any steps (i.e., ensure you that you include the name of each equivalence used (excluding commutativity and associativity) and that you state at the end whether each expression is a tautology, contingency, or contradiction).

   a. (? ∧(? →¬?))b. (¬?→(?∨?))c. (? ↔(?∨ ¬?))d. (¬? ∨(?∧?))

4. Using only the  and the  operators, find a logical expression that is equivalent to (? → (? ∧ p)) → (? ∨ p). For this question, you do not need to specify "how" you found the equivalent expression because you will show both techniques in questions 5 and 6 below.

5. Prove that the expression you found for question 4 above is equivalent to the expression (? → (? ∧ p)) → (? ∨ p) by using only truth tables. Show all your work and do not skip any steps (i.e., ensure that you include a new column for every single operation).

6. Prove that the expression you found for question 4 above is equivalent to the expression (? → (? ∧ p)) → (? ∨ p) by using only the logical equivalences. Show all your work and do not skip any steps.

7. Let L(x) be the predicate "x is a lion", G(x) be the predicate "x is a giraffe", and M(x) be the predicate "x eats meat". Translate the following expressions into English. The universe of discourse is all animals.

   1. ∀? (?(?) ∧ ?(?))

   2. ∃? (¬(?(?) ∧ ?(?)) ∨ ¬?(?))

   3. ∀? ((?(?) ∨ ?(?)) → (¬?(?) → ?(?)))

Scenario/Summary

A confidence interval is a defined range of values such that there is a specified probability that the value of a parameter lies within the interval.

In Part I of this project, you will pick a topic, complete research and provide a write-up that includes calculations. Round all values to two decimalplaces when appropriate.

Deliverables

1. Choose a Topic where you can gather at least 50 pieces of data.

Examples of Topics

1. The Golden Gate Warriors Points Per Game in 2016 (use the points scored in the first 50 games).
2. High School Graduation Rates by State (use the graduation rates for all 50 states)
3. Average Tuition Rates in the US (You have to find the tuition rates of 50 college/universities).
4. The prices of a hotel room per night in a major city (You have to find the price of the same night of hotels in one city).
5. Weights of 50 babies at birth.

2. Write at least a 1-Page Report

Open a Word Document

1. Introduction--Provide a description of your topic and cite where you found your data.
2. Sample Data—Include a 5x10 table including your 50 values in your report. You must provide ALL of your sample data.
3. Problem Computations—For the topic you chose, you must answer the following:

• Determine the mean and standard deviation of your sample.
• Find the 80%, 95%, and 99% confidence intervals.
• Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval.
• Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error.

4. Problem Analysis—Write a half-page reflection.

• What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place.
• Provide a sentence for each confidence interval created in part c) which explains what the confidence interval means in context of topic of your project.
• Explain how Part I of the project has helped you understand confidence intervals better?
• How did this project help you understand statistics better?

Read the following scenario and complete each of the problems below:

A flashlight company claims that the new bulb in its heavy duty flashlight will average 246 hours of light. A statistics student decides that he/she wants to test this claim at a 5% level of significance to determine if there is evidence to support the claim. The student randomly selects and test 15 flashlight bulbs and records how long the bulb last until it burns out. Assume the life of the bulb is normally distributed. The data is in the table below:

Trial:   1      2             3             4            5     6              7              8             9            10            11           12   13            14           15

Hrs: 246/         224/         231/       242/        234/         240/         243 /        236/         239/        255/        256/ 239/         247/         231/         253

A. Based on a histogram or box-plot of the data, what is the shape of the distribution (normal, skewed left, skewed right, uniform, etc.)? Explain why you can conduct a hypothesis test on the given data. (Compose your answer)

B. Evaluate the claim based on the following assumption: The standard deviation of the population is 7.4 hours. 1. Identify the type of test you will use to test the claim that the flashlight will average 246 hours of light. Explain your answer 2. State the null and alternate hypotheses. 3. Conduct the hypothesis test and determine the p-value. 4. State your conclusion about the claim that the flashlight will average 246 hours of light. 5. Construct a 95% confidence interval for this study.

1.

2.

3.

4.

5.

C. Evaluate the claim based on the following assumption. The population’s standard deviation is not known.

1. Identify the type of test you will use to test the claim that the flashlight will average 246 hours of light. Explain your answer.

2. State the null and alternate hypotheses.

3. Conduct the hypothesis test and determine the p-value.

4. State your conclusion about the claim that the flashlight will average 246 hours of light.

5. construct a 95% confidence interval for this study.

1.

2.

3.

4.

5.

D. Write a 200 to 400 word statement comparing and contrasting the two hypothesis test procedures and results.