Category: Mathematics

  • “Regional Real Estate Analysis: Comparing Housing Prices and Square Footage to National Averages” Title: Hypothesis Testing and Analysis of Regional Home Square Footage Compared to National Data

    Scenario You have been hired by your regional real estate company to determine if your region’s housing prices and housing square footage are significantly different from those of the national market. The regional sales director has three questions that they want to see addressed in the report: Are housing prices in your regional market lower than the national market average? Is the square footage for homes in your region different than the average square footage for homes in the national market? For your region, what is the range of values for the 95% confidence interval of square footage for homes in your market? You are given a real estate data set that has houses listed for every county in the United States. In addition, you have been given national statistics and graphs that show the national averages for housing prices and square footage. Your job is to analyze the data, complete the statistical analyses, and provide a report to the regional sales director. You will do so by completing the Project Two Template located in the What to Submit area below. Directions Introduction Region: Start by picking one region from the following list of regions: West South Central, West North Central, East South Central, East North Central, Mid Atlantic Purpose: What is the purpose of your analysis? Sample: Define your sample. Take a random sample of 500 house sales for your region. Describe what is included in your sample (i.e., states, region, years or months). Questions and type of test: For your selected sample, define two hypothesis questions (see the Scenario above) and the appropriate type of test for each. Address the following for each hypothesis: Describe the population parameter for the variable you are analyzing. Describe your hypothesis in your own words. Identify the hypothesis test you will use (1-Tail or 2-Tail). Level of confidence: Discuss how you will use estimation and confidence intervals to help you solve the problem. 1-Tail Test Hypothesis: Define your hypothesis. Define the population parameter. Write null (Ho) and alternative (Ha) hypotheses. Note: For means, define a hypothesis that is less than the population parameter. Specify your significance level. Data analysis: Summarize your sample data using appropriate graphical displays and summary statistics and confirm assumptions have not been violated to complete this hypothesis test. Provide at least one histogram of your sample data. In a table, provide summary statistics including sample size, mean, median, and standard deviation. Note: For quartiles 1 and 3, use the quartile function in Excel: =QUARTILE([data range], [quartile number]) Summarize your sample data, describing the center, spread, and shape in comparison to the national information (under Supporting Materials, see the National Summary Statistics and Graphs House Listing Price by Region PDF). Note: For shape, think about the distribution: skewed or symmetric. Check the conditions. Determine if the normal condition has been met. Determine if there are any other conditions that you should check and whether they have been met. Note: Think about the central limit theorem and sampling methods. Hypothesis test calculations: Complete hypothesis test calculations. Calculate the hypothesis statistics. Determine the appropriate test statistic (t). Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean, and the target is the national mean. Calculate the probability (p value). Note: This calculation is done with the T.DIST function in Excel: =T.DIST([test statistic], [degree of freedom], True) The degree of freedom is calculated by subtracting 1 from your sample size. Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis. Relate the p value and significance level. Make the correct decision (reject or fail to reject). Provide a conclusion in the context of your hypothesis. 2-Tail Test Hypotheses: Define your hypothesis. Define the population parameter. Write null and alternative hypotheses. Note: For means, define a hypothesis that is not equal to the population parameter. State your significance level. Data analysis: Summarize your sample data using appropriate graphical displays and summary statistics and confirm assumptions have not been violated to complete this hypothesis test. Provide at least one histogram of your sample data. In a table, provide summary statistics including sample size, mean, median, and standard deviation. Note: For quartiles 1 and 3, use the quartile function in Excel: =QUARTILE([data range], [quartile number]) Summarize your sample data, describing the center, spread, and shape in comparison to the national information. Note: For shape, think about the distribution: skewed or symmetric. Check the assumptions. Determine if the normal condition has been met. Determine if there are any other conditions that should be checked on and whether they have been met. Note: Think about the central limit theorem and sampling methods. Hypothesis test calculations: Complete hypothesis test calculations. Calculate the hypothesis statistics. Determine the appropriate test statistic (t). Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean, and the target is the national mean.] Determine the probability (p value). Note: This calculation is done with the TDIST.2T function in Excel: =T.DIST.2T([test statistic], [degree of freedom]) The degree of freedom is calculated by subtracting 1 from your sample size. Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis. Compare the p value and significance level. Make the correct decision (reject or fail to reject). Provide a conclusion in the context of your hypothesis. Comparison of the test results: Revisit Question 3 from the Scenario section: For your region, what is the range of values for the 95% confidence interval of square footage for homes? Calculate and report the 95% confidence interval. Show or describe your method of calculation. Final Conclusions Summarize your findings: In one paragraph, summarize your findings in clear and concise plain language. Discuss: Discuss whether you were surprised by the findings. Why or why not?

  • “The Impact of Mug Type on the Cooling Rate of Coffee in an Ambient Room Environment” Introduction Coffee is one of the most popular beverages in the world, with over 400 billion cups consumed each year (International Coffee Organization, 2020

    Write minimum 3k investigation on The rate at which coffee cools whilst
    sitting in an ambient room is an issue facing all coffee addicts globally. Your
    task is to investigate some of the factors which impact this cooling rate and
    any associated timeframes.  Refer to task sheet to read instructions. Refer to general feedback to look at how you can make the investigation better. The task sheet tells you what you need to do. The results table that will need to be analysed is down below. (results table jpg) Include introduction and hypothesis. For question two on the task sheet       Choose
    one factor to investigate and describe in detail how you expect it
    might affect the graph of cooling of the coffee over time. We will be doing different mug types (refer to the results table) For question three, Design an experiment where you alter two variations of your
    chosen factor, but all other parameters are kept the same. (e.g. comparing the
    cooling rate of: types of coffee, different mug types, ) I have already done the experiment in class so no need to do that, just look at the results table i have put down below.

  • “Renovating the Backyard: Budget Changes and Retirement Savings Plan”

    The SECOND change is to save up or get a loan to renovate the backyard. Outline the changes that would need to be made in their budget. You are expected to demonstrate your understanding of Trigonometry (trig ratios, sine law, cosine law, etc) and Geometry (area of 2D composite shapes with the measurements, surface area and volume of a composite 3D figure consisting of a cylinder, triangular prism and a rectangular prism) to build or design their new renovated backyard. The THIRD change will be to ensure that the family has a retirement plan that will work. Research and prepare a retirement savings plan and suggest savings to ensure the plan will be met or exceeded. Include the types of savings (RRSP, Tax Free Savings Accounts, ….).

  • “Exploring Functions: A Desmos Graphing Project”

    can you finish my desmos graphing project pls. I need around 150 more lines added, following this list: 5 linear functions (slope intercept form) = mx+b 5 quadratic functions (vertex form) y = a (x-p)2+4 3 Linear-Linear System. 3 linear inequality with shading y ˃mx+b: 3 quadratic inequality with shading y 2 a(x-p)2+q Additional suggestions: Linear- Quadratic System. Quadratic-Quadratic system. Linear absolute value functions Piecewise function Quadratic absolute value function Reciprocal functions (identify the equations for the vertical-asymptotes) Circles or ellipses functions. also make sure to include shading on the lips! Here is the link to the graph: https://www.desmos.com/calculator/omvnbiusdx

  • “Exploring Linear, Quadratic, and Piecewise Functions: A Desmos Graphing Project”

    can you finish my desmos graphing project pls. I need around 150 more lines added, following this list: 5 linear functions (slope intercept form) = mx+b 5 quadratic functions (vertex form) y = a (x-p)2+4 3 Linear-Linear System. 3 linear inequality with shading y ˃mx+b: 3 quadratic inequality with shading y 2 a(x-p)2+q Additional suggestions: Linear- Quadratic System. Quadratic-Quadratic system. Linear absolute value functions Piecewise function Quadratic absolute value function Reciprocal functions (identify the equations for the vertical-asymptotes) Circles or ellipses functions. also shade the lips! Here is the link to the graph: https://www.desmos.com/calculator/omvnbiusdx

  • Calculus III Unit 3 Homework Assignment

    Please take pictures of your solutions, Combine into One PDF file, and upload on Blackboard by June 27, 11:59 PM.
    IMPLICIT DIFFERENTIATION
    Read Section 3.5 Implicit Differentiation, pages 169 – 174
    Watch Videos in Video Lessons 3
    Homework page 175   Do (5 – 17) odd problems;
    Do (31 – 37) odd problems;
    Do (69 – 73) odd problems.
    DERIVATIVES of INVERSE FUNCTIONS 
    Read Section 3.6 Derivatives of Inverse Functions, pages 178 – 181
    Watch Videos in Video Lessons 3
    Homework page 182   Do (13, 14, 17, 25, 33).
    RELATED RATES
    Read Section 3.7 Related Rates, pages 185 – 189
    Watch Videos in Video Lessons 3
    Homework page 190 Do (3, 6, 9, 10, 14).
    The Book is Bruce H Edwards

  • Title: The Growing Issue of Homeless Veterans in Detroit: A Decade of Data Analysis (2013-2023)

    Need a 6 page report on homeless veterans in Detroit, from2013-2023, 2018-2023, and 2024. Criteria Points
    Discuss the social issue
    3 pts
    Does your research question follow the guidelines?
    4 pts
    How is the social issue relevant to you?
    3 pts
    Did you give the information where you received the data?
    2 pts
    Data Set #1: Data for one year with multiple categories
    2 pts
    Data Set #2: Data for one category over multiple years
    2 pts
    Data Set #3
    Data for one category over multiple years
    OR
    Data for multiple categories for one year
    2 pts
    This criterion is linked to a Learning OutcomeSummary of research process
    3 pts
    What will you do with the information you received from this project?
    3 pts
    Did the student present?
    5 pts
    Graph #1 – Appropriate for Data
    1 pts
    Graph #1 – Details and correctness
    4 pts
    Graph #1 – Interpretation
    3 pts
    Graph #1 – Calculation required of the data
    4 pts
    Graph #2 – Appropriate for Data
    1 pts
    Graph #2 – Details and correctness
    4 pts
    Graph #2 – Interpretation
    3 pts
    Graph #2 – Calculation required of the data
    4 pts
    Graph #3 – Appropriate for Data
    1 pts
    Graph #3 – Details and correctness
    4 pts
    Graph #3 – Interpretation
    3 pts
    Graph #3 – Calculation required of the data
    4 pts
    Important Info
    The order was placed through a short procedure (customer skipped some order details).
    Please clarify some paper details before starting to work on the order.
    Type of paper and subject
    Number of sources and formatting style
    Type of service (writing, rewriting, etc)

  • Calculus Chapter 4 and 5 Review and Practice Problems

    Please take pictures of your solutions, Combine into One PDF file, and upload on Blackboard by July 14, 11:59 PM.
    EXTREMA  (Do Any 5 problems from Each Section)
    Read Section 4.1 Extrema on an Interval, pages 206 – 210
    Watch Videos in Video Lessons 4
    Homework page 211   Do (5, 7, 9);
    Do (25 – 33) odd problems.
    Read Section 4.2 Rolle’s Theorem and mean Value Theorem, pages 214 – 217
    Watch Videos in Video Lessons 4
    Homework page 218   Do (3, 5, 7, 10);
    Do (14, 17, 24).
    Read Section 4.3 First Derivative Test, pages 221 – 226
    Watch Videos in Video Lessons 3
    Homework page 227    Do (11, 13, 15);
    Do (27, 28, 47).
    Read Section 4.4 Concavity and Second Derivative Test, pages 231 – 235
    Watch Videos in Video Lessons 3
    Homework page 236    Do (3, 5, 15, 16, 25, 31);
    Do (37, 40, 41, 49, 53).
    Read Section 4.6 Curve Sketching (using derivatives) , pages 249 – 255
    Homework page 256   Do (5 – 13) odd problems;
    Do (43 – 49) odd problems.
    LIVE REVIEW on Zoom (To be Announced) Attendance is Optional
    LIMITS at INFINITY (Do Any 5 problems from Each Section)
    Read Section 4.5 Limits at Infinity, pages 239 – 245
    Watch Videos in Video Lessons 5
    Homework page 246  Do (17 – 37) odd problems.
    INTERGRATION (Do Any 5 problems from Each Section)
    Read Section 5.1 Antiderivatives and the Indefinite Integral, pages 284 – 290
    Watch Videos in Video Lessons 6
    Homework page 291 Do (15 – 35) odd problems.
    Read Section 5.4 The Fundamental Theorem of Calculus, pages 317 – 327
    Watch Videos in Video Lessons 6
    Homework page 328 Do (9 – 33) odd problems.
    The book is Bruce H Edwards. 

  • “Exploring Mathematical Concepts: A Grade 11 Culminating Task”

    This is  a Math Culminating Task it is gread 11. It needs to be done correctly without any mistakes. This task is worth lots of marks and it is important to payattention to every question and what it is asking and answring it accordingly there are graphs as will they need to be graphed on paper. I have provied picters of the culminating it is also improtant that you do it in order that is in starting with the first page wich would be cleary. Please do it corrctly.