Mathematics

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)?

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.

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.

For this assignment, you will analyze three questions that have been solved by a student. Each example has one error in the solutions. Copy and paste the questions into the discussion board and write a note to the student of what the error is for each example. When correcting each student, be specific as to what was wrong for each case. Example 1: Complete the first month’s charges and find the balance for Month 2. The APR is 15.99% with a minimum payment of 5%. The carry-over balance is $500. Student Answer: Month Carry-Over Balance Finance Charge New Balance Minimum Payment 1 $500 $6.66 $506.66 $25.33 2 $474.67 XXXXXXXX XXXXXXX XXXXXXXXX Example 2: What exact excel formula is needed to find the monthly payment for a house that costs $90,000? The APR is 4.5% for a 30-year loan. Student Answer: =PMT(4.5/12,30*12,-90000) Example 3: Using Excel, what formula is needed to find the total loan amount for a new car? You can spend $180 each month on payments and the loan rate is 5.72% for 4 years. Student Answer: =PV(.0572/12,4/12,-180) **MUST PLEASE USE EXCEL FOR ASSIGNMENT**

case writeup:around 2-page reflection write-up, 400-600 words • 1 paragraph synopsis of what is the data source, methods, and approach • 2-3 paragraph: What did you find more insightful? What was most counterintuitive?ALSO, raise and write 3-5 insightful and critical questions (about the statistics, economic, consumer analysis,… overall about the class title” BIG DATA CONSUMER ANALYTICS) for the case.

**Reference previous order**SPSS StatisticsAssignment ContentAccess the SPSS® Data Sets in the Course Resources > Student Success Guide to download the data set for this assignment.Open dataset SAQ (Item 3 Reversed).sav in SPSS®.his exercise must be completed on the four subscales below, and you should, therefore, produce four reliability analyses. Subscale 1 (Fearof statistics): items 1, 3, 4, 5, 12, 16, 20, 21 Subscale 2 (Peerevaluation): items 2, 9, 19, 22, 23Subscale 3 (Fearof computers): items 6, 7, 10, 13, 14, 15, 18Subscale 4 (Fear of mathematics): items 8, 11, 17 Using the directions outlined in Section 18.10 (Ch. 18) of Field (2018), conduct a reliability analysis.Note: Access to Ch. 18 can be found in the Week 3 Optional Activities.Post the output from your reliability analysis into a Microsoft® Word document. Also, include responses to the following questions:What did the results tell you about the reliability of the scale?What actions can be taken by a researcher to improve the reliability of a scale?

Reflect & Write Previous knowledge/skill and attitude (sometimes referred to as “mindset”) are important foundations for learning. In this first discussion, reflect on these two foundations and write a two-paragraph response (at least 500 words in total) for each of the following two areas to begin your practice of communicating technical information. Past Think back to when you were in your early school days and reflect on your mathematical experiences. Be sure to concentrate on you, rather than on the influences of teachers, parents, siblings, etc. Some questions to prod your thinking include: What study habits or classroom activities helped you learn math? Which ones were not helpful? Did group activities help you learn math, help improve your grade, or both? Did you have different study habits for your math classes than for your other classes? If so, why? Present Think about your college experiences with math. If this is your first college mathematics class, answer these questions with how you think this semester will go. Have your study habits changed or remained the same? Are they working? Are there any modifications that you have made, or plan to make, now that you are in an online math class?  In either section, Past or Present, refer to at least two of the Learning Outcomes listed in the syllabus to connect your memories to this class. Review the course syllabus located in the navigation menu. Post & Reply Post your 500-word, two-paragraph response by the end of the fourth day of the module week. Then, read your classmates’ posts and reply to at least two with observations that add to a conversation about the course topics. You must make your initial post before you can see the posts of your classmates. Please read these instructions for information on accessing the discussion rubric.  (Links to an external site.)

State whether each equation is true or false for the values of the variables given

No length requirements Suppose that you have two sets of data to work with. The first set is a list of all the injuries that were seen in a clinic in a month’s time. The second set contains data on the number of minutes that each patient spent in the waiting room of a doctor’s office. You can make assumptions about other information or variables that are included in each data set. For each data set, propose your idea of how best to represent the key information. To organize your data would you choose to use a frequency table, a cumulative frequency table, or a relative frequency table? Why? What type of graph would you use to display the organized data from each frequency distribution? What would be shown on each of the axes for each graph?