Imagine you just bought a house for $400,000 and made a 20% down payment. Find the monthly payment on the mortgage at 5% over 30 years.

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Mortgage Part 1

Imagine you just bought a house for $400,000 and made a 20% down payment. Find the monthly payment on the mortgage at 5% over 30 years. Then multiply the monthly payment by the total number of payments to find the total amount of payments you make to the bank in paying off the loan. Now subtract the amount of the mortgage to find the total amount of interest you pay to the bank. How does that amount of interest compare to the original sale price of the house?

Design a T-shirt and create a marketing plan. Take a poll to test the marketability of the shirt. Use the results to determine the demand function for your T-shirt to obtain the revenue, cost and profit functions.

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Business Calculus – Math 115

Project: T–Shirt Sales Campaign

In this project, you will design and test the viability of a T–shirt design. The project will be done in five parts:
A. Design a T–shirt and create a marketing plan;
B. Take a poll to test the marketability of the shirt;
C. Use the results to determine the demand function for your T–shirt to obtain the revenue, cost and profit functions;
D. Use the tools of the course to find a selling price that will maximize revenue and profit.
E. At the conclusion of your project, you will write a report and submit it to the instructor presenting all your analysis and final results. This report must address all aspects of the project, thus there should be write–up on parts A – D. The report will be submitted in MS word format, while all the mathematical analysis should be done in MS Excel or a program of your choice.

What are the results? Are the results inferable to the population? Do you reject or fail to reject the null hypothesis? Explain. What do the results mean? What is your recommendation to the organization?

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DISCUSSION ESSAY

You are in charge of conducting an analysis for your organization to determine if there is a difference in product sales between the day shift, the night shift, and the weekend shift. Your coworker has already collected the data and they are ready for you to analyze.

Review the data your coworker collected in the Analysis of ANOVA Test Data Spreadsheet.

First, plan your analysis. Second, conduct your analysis. Third, describe your analysis.

Create a 5- to 7-slide Microsoft® PowerPoint® presentation and include speaker notes. Include the following elements in your presentation.

Part 1: Planning
What are the null and alternative hypotheses?
Where did you obtain your data or who obtained it for you?

Part 2: Analysis
What are the descriptive statistics for your sample? Include:
Sample size
Mean
Median
Mode
Standard deviation
Analysis procedures: What did you do to conduct your analysis?

Part 3: Results and Discussion
What are the test statistics and results? Include
f statistic
p-value
What are the results? Are the results inferable to the population?
Do you reject or fail to reject the null hypothesis? Explain.
What do the results mean? What is your recommendation to the organization?

Which measure of central tendency is the student reporting as the average? How is this student misrepresenting the course performance with statistics?

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DISCUSSION ESSAY

A student’s parents promise to pay for next semester’s tuition if an A average is earned in math. With examination grades of 97%, 97%, 75%, 70%, and 55%, the student reports that an A average has been earned. Which measure of central tendency is the student reporting as the average? How is this student misrepresenting the course performance with statistics?

Describe the investigation you selected. What is the problem about? What given information have you been provided? What kind of solution are you expecting? What else might be relevant to consider in your problem situation?

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Final Assessment

A 4-6 page paper in APA format with the four distinct sections detailed below for any of the investigations you select, following the guidelines for completing the paper completely.

Step ONE: Introduction (1 page)
Describe the investigation you selected. What is the problem about? What given information have you been provided? What kind of solution are you expecting? What else might be relevant to consider in your problem situation?

Step TWO: Using Mathematics (1 page)
Any ‘plan’ for solving your problem should require using mathematics. What is the mathematics that is appropriate to use for your particular problem? What should be the ‘plan’ for solving the problem using that mathematics? Are there different approaches for how to solve the problem? If so, why did you take the one you chose?

Step THREE: Calculations (1-2 pages)
Effective communication requires organizing the calculations in such a way that the ‘plan’ is evident. This would include the narrative discussing the calculations, as well as the calculations themselves. For readability, individual portions of this section can be placed in an Appendix if it is also organized and supports the ‘plan’ by presenting it that way.

Step FOUR: Solution and Recommendations (1 page)
What solution did you find? How confident are you about the answer? If possible, how accurate is your answer, and how do you know? If there is another approach that could be used, would you get a better answer? Based on the work you’ve done, what recommendation are you making about the problem you described.

Knowing that s((pˆ2) * q) = p* (p – 1) * (q – 1) for two distinct primes p and q. What is the order of the group? What are the possible subgroup orders of ?

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Group Theory – Mathematics

Consider the group < Z*98, x >

(a) Knowing that s((pˆ2) * q) = p* (p – 1) * (q – 1) for two distinct primes p and q. What is the order of the group?

(b) What are the possible subgroup orders of < Z*98, x >?

(c) Calculate the order of 55.

(d) Calculate the group of order 6 generated by 79 and 97. Is this subgroup cyclic?

(e) Consider H =< 19 >. What is the number of side classes of H?

(f) The quotient of < Z*98, x > by H is isomorphic to a<Zn,x> for some n?

random sample of N = 25 individuals is selected from a population with μ = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be X = 22.2 with SS = 384. Based on the sample data, does the treatment have a significant effect?

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PSYC 2317: Statistical Methods for Psychology

Tarleton State University Unit 6 Homework: Spring 2023

1. A random sample of N = 25 individuals is selected from a population with μ = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be X = 22.2 with SS = 384. Based on the sample data, does the treatment have a significant effect?

2. To evaluate the effect of a treatment, a sample is obtained from a population with a mean of μ = 30 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 31.3 with a standard deviation of ˆσ = 3

  • (a) If the sample consists of N = 9 individuals, are the data sufficient to conclude that the treatment has a significant effect?
  • (b) If the sample consists of N = 49 individuals, are the data sufficient to conclude that the treatment has a significant effect?
  • (c) Comparing your answers for parts (a) and (b), how does the size of the sample influence the outcome of a hypothesis test?

3. Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past 50 years (Twenge, 2000). In the 1950s, the average score on the Child Manifest Anxiety Scale was μ = 15.1. A sample of N = 16 of today’s children produces a mean score of X = 23.3 with SS = 240. Based on this sample, has there been a significant change in the average level of anxiety since the 1950s?

4. A sample of N = 9 individuals participates in a repeated measures study that produces a sample mean difference of X = 4.25 with SS = 128 for the difference scores. Is this mean difference large enough to be considered a significant increase?

Find an example of an article that that relates two variables. Is the article stating that the two variables are correlated or that they have a causal relationship? Does the article confuse correlation and causation? Discuss other variables that could contribute to the relationship between the variables.

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Abuse of correlation in studies

Assignment:

Find an example of an article that that relates two variables. Is the article stating that the two variables are correlated or that they have a causal relationship? Does the article confuse correlation and causation? Discuss other variables that could contribute to the relationship between the variables.

What is the market risk premium (rM – rRF)? What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places.

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Question and answer

  • What is the market risk premium (rM – rRF)? Round your answer to two decimal places.
  • What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places.
  • What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places.
  • Would you expect the standard deviation of Fund P to be less than 14%, equal to 14%, or greater than 14%?
    1. less than 14%
    2. greater than 14%
    3. equal to 14%

4 x 2 − 2 x − 2 x − 2 = ?

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Algebraic Question

4 x 2 − 2 x − 2 x − 2 = ?