Mathematics

Topic : Mathematics and its Connection to Religion and Mysticism throughout History and Modern Times Analyze and summarize scholarly sources in order to write a term paper on first explaining the history and background information on number mysticism and mathematics’ connection to religion, mysticism, and the supernatural, and then why it is important to the development […]

Reference Template for Writing Project Report Title Followed by the author: Name of the student and major Body of the report (1). Section I: Introduction including background (past development up to now), significance of studying this project, motivation of doing this project, what problems to be solved in this project and layout of the report  […]

Identify a question of interest, in particular a Y (dependent) variable that you would like to describe and some (independent) variables X that you use to explain Y. It is important that you are able to discuss what economic theory (or common sense) would suggest the relationship between Y and the Xs should be. This […]

Understanding descriptive statistics, their measures of center and their variability, helps form the foundation of statistical analysis. Descriptive statistics tell us how frequently an observation occurs, what is considered average, and how far data in our sample deviate from being average. With these statistics, we are able to provide a summary of characteristics from both large and small datasets. Measures of central tendency and variability provide valuable information on their own, and form the cornerstone of the quantitative structures that we build in our research studies. Required Resources Read/review the following resources for this activity: OpenStax Textbook: Chapter 2 Holmes, A., Illowsky, B., & Dean, S. (2017). Introductory business statistics. OpenStax. https://openstax.org/details/books/introductory-business-statistics Lesson Minimum of 1 scholarly source In your reference for this assignment, be sure to include both your text/class materials AND your outside reading(s). Initial Post Instructions For this Discussion, you will examine central tendency and variability in terms of pulse rate. Find and record the pulse rate of 10 different people where you work. Tell us a little about the population from which you drew your data. Describe your findings in terms of central tendency and variability. Consider using some of the following to help you form your initial discussion post: What are your measures of central tendency (i.e., mean, median, and mode)? Which might be the better measure for central tendency and why? What is the standard deviation of your data? How variable are the data (range)? Are there any outliers? Investigate possible reasons for these outliers, and things that might limit them if further study were to be carried out. What are some variables that should be considered in discussing your measures of central tendency and variation? Is there any skewness in your measured data? How would you describe this data (i.e. what insights did you gain from this data)?

Normal distributions can be used for many purposes. One purpose might be to determine warranty times on a new game system. Consider if game systems normally last for 36 months before a failure of some sort with a standard deviation of 5 months. If we wanted to have a warranty that paid off on only 5% of the machines (in other words where 95% of them will work) then we could use: =NORMINV(0.95,36,5) which would give 44.22 months. This means that we should set our warranty period at 44 months to make sure that we only have to pay off on 5% of the machines. We obviously want to keep our customers happy and fix their system if it fails after a few months. Come up with at least TWO examples for normal distributions (similar to the above) with numbers and the formula (Google Sheets or Excel) that you used.

Calculating Confidence Intervals The purpose of this assignment is to practice calculating confidence intervals. For this assignment, students will utilize Excel and SPSS Statistics and the “Example Dataset.” Using the “Example Dataset,” complete the following: Based on a normal distribution curve, calculate the probability of an individual being 60 years or older in this population. Show the Excel and SPSS formulas or your hand calculations. Include screenshots as needed to illustrate this. Using the sample standard deviation of age as an estimate of the population standard deviation, calculate by hand the standard error of the mean. Show your calculations and the answer. Calculate by hand a 95% confidence interval for “Age” based on the sample mean. Use SPSS to verify your answer. Include your calculations and screenshots of the SPSS output. Interpret the confidence interval for age and explain the three pieces of information needed to calculate a confidence interval. Submit one Word document that includes all of the assignment deliverables. APA style is not required, but solid academic writing is expected.

Z-scores A normal distribution of scores has a standard deviation of ? =10; and a ? = 70. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. (Hint: what score is 20 points above the mean of ? = 70?) b) A score that is 10 points below the mean. c) A score of x = 50. d) A score of x = 35.

1. In the article “The tools of Quality Part IV: Histograms” (Quality Progress, September 1990, Vol. XXIII, No.9, pp.75-78) data are presented on the gain of 120 amplifiers. These data are reproduced below. a) Construct a stem-and-leaf display step by step. Category Interval=1 (7,8,9,10,11 as stems, and decimal number as leaf) (3pts). b) Comment on the shape of the display in a. Can you make an assumption that the data follows a normal distribution? Why? (2pt)c) Construct a stem-and-leaf display step by step. Category Interval=0.5 (7.0?X<7.5, 7.5?X<8, 8.0?X<8.5, ….(1pts) 8.110.48.89.77.89.911.78.09.39.08.28.910.19.49.27.99.510.97.88.39.18.49.611.17.98.58.77.810.58.511.58.07.98.38.710.09.49.09.210.79.9.78.78.28.98.69.59.48.88.38.49.110.17.88.18.88.09.28.47.87.98.59.28.710.27.99.88.39.09.69.910.68.69.48.88.210.59.79.18.08.79.88.58.99.18.48.19.58.79.38.110.19.68.38.09.89.08.98.19.78.58.29.010.29.58.38.99.110.38.48.69.28.59.69.010.78.610.08.88.6 Please be noted: you are not expected to use Excel Histogram function in this problem. In the next assignment, this function must be used. 2. An experiment in chemistry looked at the effect of temperature on the solubility of salt in water. Below are data on the solubility of Potassium Chloride (KCL). Construct a scatter plot of the data and comment on the relationship between temperature and solubility using Microsoft Excel. (3pts)Temp. °C 0 10 20 30 40 50 60 70 80 90 100 Solubility 29.6 28.0 33.6 38.1 34.2 42.6 44.8 48.1 56.5 55.46 2.9

Demonstrate skills to calculate probability. Construct basic graphsCalculate and compute descriptive statistics. Calculate probabilities for a normal distribution. Demonstrate skills using the Central Limit Theorem. Construct confidence intervals. Calculate Student’s t-Distribution. Estimate population means. Estimate population proportions. Compare population means. Conduct hypothesis testing. Perform a chi-square test. Calculate and interpret the correlation between two variables due after 3 hours anyone can help?

How does math statistics work?