# Mathematics

## [SOLVED] Null and Alternative Hypotheses

Assignment Content1.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 it is ready for you to analyzeReview 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: PlanningWhat are the null and alternative hypotheses?Where did you obtain your data or who obtained it for you?Part 2: AnalysisWhat are the descriptive statistics for your sample? Include:Sample sizeMeanMedianModeStandard deviationAnalysis Procedures: What did you do to conduct your analysis?Part 3: Results and DiscussionWhat are the test statistics and results? Includef statisticp-valueWhat 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?

## [SOLVED] Statistical Procedure

Submit the Milestone Two Worksheet, In this milestone, you will address the following:Indicate sample size (n = ?) and describe what consequence(s) this sample size will have on your analyses and on your reporting of results.Using the Choose Your Test document, select a statistical procedure appropriate to your scenario/data. Explain why you selected that test, linking features of the scenario/data to information from the Choose Your Test document.Note: This milestone addresses Section II, parts A and B only. You will do the calculations for Section II parts C, D, E, and F as you complete your final project.Discussion 2Submit the Milestone Three Worksheet. In this milestone, you will address the following:Indicate the null hypothesis and the alternative hypothesis.State your understanding of what the hypotheses mean.I must used the book as a reference because my professor say I need to add more academic information that shows your knowledge of the course materialsThe book is Statistical Reasoning for Everyday LifeJeff Bennett, Bill Briggs, and Mario F. Triola

## [SOLVED] Law of Cosines

Triangles & TrigSathiya MackeyUse the Law of Sines or Law of Cosines to find the missing value.WORK:Solution:Use the Law of Sines or Law of Cosines to find the missing value.WORK:Solution:Use the Law of Sines or Law of Cosines to find the missing value.WORK:Solution:Use the Law of Sines or Law of Cosines to find the missing value.WORK:Solution:Look at the graph & answer the following questions:Is this a sine or cosine function?What transformation is occurring here?What is the period of the functionWhat is the equation of the function?Look at the graph & answer the following questions:Is this a sine or cosine function?What transformation is occurring here?What is the period of the function?What is the equation of the function?Look at the graph & answer the following questions:Is this a sine or cosine function?

## [SOLVED] Private Jet Operators

Question 2 consists of parts a, b, and c – a. Argo sells maintenance services to various private jet operators. Forthese, it demands payment within 20 days. Argo is considering changing this policy to 0.5%/4, net 20. What is the implicit effective annual rate in this payment policy? Use a notional purchase of $1,000.b. Argo’s maintenance service business grosses some $8M per year before discounts and its average days receivable is 25 (unlike the overall business where this number is ~15). If 45% of Argo’s clients opt to pay earlier and get the 0.5% discount, what will be the change in the service business’s receivables? If Argo’s cost of capital is 5.5%, what are the projected savings of this change in policy? If Argo’s gross margin is 25%, by how much will gross dollar revenues have to rise to offset the loss from discounts? In percent?c. A new client from out of town is quoted $3,300 for a repair. The service people ask you to approve this. You do a quick check on the client and assess an 5% default risk. What is the NPV of the client? What is the break-even probability? What is the minimum probability of collecting for you to approve the service?

## [SOLVED] Greatest Relative Frequency

Income (thousands of dollars)38 39 50 49 36 43 45 38 42 4249 45 24 52 53 30 71 35 35 38Problem 1. Using Table 1, answer the following questions. The data set represents the incomes (in thousands of dollars) of a sample of 20 employees at a company.a. Find the range, mean, median, and mode of the data set.Range:Mean:Median:Mode:b. Construct a frequency distribution for the data set using 5 classes. Include the midpoints, frequency, and relative frequency.

## [SOLVED] Probability in Statistics

probability in statisticsIntroductionProvide an opening paragraph or two that motivates the problem by describing why the topic is useful. It could be that the tool itself is immediately useful in some applications or that the tool is used to build towards more complex methods that are useful in some applications. The nice thing about statistics is that somewhere down the line, it is all about the application. You should identify the application of your topic in the first paragraph or two.A final paragraph of the introduction should tell your reader the structure of your tutorial. You should tell them that you will next offer a section that show cases a specific example of the topic, then the general mathematics behind the topic, another specific example, and last a conclusion.Specific ExampleYou should then provide a specific example of the topic you are writing about. You will most likely need to walk the reader through your example in plain and simple language, giving a more intuitive feel for the topic.GeneralThis section will provide the more general mathematics behind the topic. Use the opening specific example to provide grounding to the more abstract mathematical topics.(A Different) Specific ExampleThis section should provide a more in-depth specific example. This next example should help your audience see more deeply into the topic at hand. On the one hand, you can think of this as just a more complex example. On the other hand, maybe your example is not more complex so much as it helps see something not so obvious about the general mathematics.ConclusionTell your audience what you just told them and remind them why this is important.

## [SOLVED] Applied Statistical Methdology

Subject: Applied Statistical Methdology for business research designUsing your textbook, LIRN-based research, and the Internet, apply the learning outcomes for the week/course and lecture concepts to the following question.? What makes a function of a discrete variable a candidate for a discrete random variable distribution? What about the counterpart of this candidacy in the case of a continuous variable?? Explain the significance of the mean, variance, and standard deviation for a random variable. Does the significance change when passing from the discrete case to the continuous case?? Provide a detailed discussion on the distribution of a discrete random variable, in general terms, and then provide a numerical example of this distribution. What are the mean and the standard deviation in your example? How does this differ in the case where the random variable is continuous? Explain.? How does the probability of union of disjoint events exhibit itself when dealing with a (discrete or continuous) random variable? Provide an example.

## [SOLVED] Variance in Statistics

Variance in statisticsIntroductionProvide an opening paragraph or two that motivates the problem by describing why the topic is useful. It could be that the tool itself is immediately useful in some applications or that the tool is used to build towards more complex methods that are useful in some applications. The nice thing about statistics is that somewhere down the line, it is all about the application. You should identify the application of your topic in the first paragraph or two.A final paragraph of the introduction should tell your reader the structure of your tutorial. You should tell them that you will next offer a section that show cases a specific example of the topic, then the general mathematics behind the topic, another specific example, and last a conclusion.Specific ExampleYou should then provide a specific example of the topic you are writing about. You will most likely need to walk the reader through your example in plain and simple language, giving a more intuitive feel for the topic.GeneralThis section will provide the more general mathematics behind the topic. Use the opening specific example to provide grounding to the more abstract mathematical topics.(A Different) Specific ExampleThis section should provide a more in-depth specific example. This next example should help your audience see more deeply into the topic at hand. On the one hand, you can think of this as just a more complex example. On the other hand, maybe your example is not more complex so much as it helps see something not so obvious about the general mathematics.ConclusionTell your audience what you just told them and remind them why this is important.

## [SOLVED] Market Value and Gross Sales

Your directors would also like to know how the gross sales affect the market value of food outlet they might open.1) Draw the scatter plot between market value and gross sales. Add the type of outlet variable as an indicator to the scatter plot. Interpret the graph.2) Find the regression equation between the market value and gross sales for each type of outlet. Write the equation, interpret coefficients, goodness of fit and the significance of the model (Use the Data Analysis Toolbox in Excel).

## [SOLVED] A Normal Distribution

3a. The probability of randomly selecting a car with two occupants.3b. The probability of randomly selecting a car with two or more occupants.3c. The probability of randomly selecting a car with between two and five occupants, inclusive.4. Scores. Scores for a qualification exam are normally distributed, with a mean of 80 and a standard deviation of 10. To be qualified for an interview, you must score in the top 10%. What is the lowest score you can earn and still be qualified for an interview?5. Coffee temperatures. You randomly select 25 coffee shops and measure the temperature of coffee sold at each. The sample mean temperature is one-hundred sixty-two degrees F with a sample standard deviation of 8.0 degrees F. Find the 95% confidence interval for the mean temperature. Assume the temperatures are approximately normally distributed.

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