Math 221 week 1 lecture feb 2012
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This document contains the notes from Week 1 of a statistics lecture for MA 221. It includes definitions of key statistical concepts like population vs. sample, parameter vs. statistic, qualitative vs. quantitative variables, and levels of measurement. It also provides examples of determining these classifications and describes different data collection methods. The document explains measures of center, range, mean, standard deviation, and the empirical rule. It defines terms associated with a box and whisker plot and z-scores.
Math 221 week 1 lecture feb 2012
- 1. Week 1 Lecture MA 221 Statistics for Decision Making Professor Brent Heard Not to be copied or linked to without my permission
- 2. Week 1 Lecture MA 221 • Week 1 (Homework and Graded DB) • Week 2 (Homework, Graded DB and Lab) • Week 3 (Homework, Graded DB and Quiz) • Week 4 (Homework, Graded DB and Lab) • Week 5 (Homework, Graded DB and Quiz) • Week 6 (Homework, Graded DB and Lab) • Week 7 (Homework, Graded DB and Quiz) • Week 8 (Final Exam)
- 3. Week 1 Lecture MA 221 • Determine whether the data set is a population or a sample. Explain your reasoning. The salaries of each teacher in a high school.
- 4. Week 1 Lecture MA 221 • Determine whether the bold value is a parameter or a statistic. In a statewide survey on candy consumption, 72.7% of respondents between the ages of 40 and 49 reported M&M’s as a favorite candy.
- 5. Week 1 Lecture MA 221 • Determine whether the bold value is a parameter or a statistic. In a study of all teachers in a particular high school, 98% own a cell phone.
- 6. Week 1 Lecture MA 221 • Determine whether the variable is qualitative or quantitative. Enrollment of an elementary school.
- 7. Week 1 Lecture MA 221 • Determine whether the variable is qualitative or quantitative. Colors of cars in the parking lot of an office building.
- 8. Week 1 Lecture MA 221 • Determine whether the variable is qualitative or quantitative. Zip Codes of the students in your online class.
- 9. Week 1 Lecture MA 221 • What is the data set’s level of measurement? Colors of cars in the parking lot of an office building.
- 10. Week 1 Lecture MA 221 • What is the data set’s level of measurement? Daily low temperatures in Fahrenheit for December 2011.
- 11. Week 1 Lecture MA 221 • What is the data set’s level of measurement? Number of dogs each of your classmates have at home.
- 12. Week 1 Lecture MA 221 • What is the data set’s level of measurement? College Football Rankings.
- 13. Week 1 Lecture MA 221 • Which method of data collection is described? Asking every fifth student in line to enroll what they are planning on majoring in.
- 14. Week 1 Lecture MA 221 • Which method of data collection is described? Looking at all 20 entry level statistics classes at a university and survey 2 students from each class.
- 15. Week 1 Lecture MA 221 • Which method of data collection is described? Looking at all 20 entry level statistics classes at a university and surveying everyone in one of the classes chosen at random.
- 16. Week 1 Lecture MA 221 • Which method of data collection is described? Standing outside the local shopping mall and asking people what they think of the new mall 15 miles away.
- 17. Week 1 Lecture MA 221 • Which method of data collection is described? Putting all of the first grade students names in a hat and drawing one to get to sit next to the teacher at lunch.
- 18. Week 1 Lecture MA 221 • Describe whether you would take a census or use a sampling to collect data for the study described below. The average salary of the 75 workers at a small business.
- 19. Week 1 Lecture MA 221 • Describe whether you would take a census or use a sampling to collect data for the study described below. The average number of times per year the citizens of a 250,000 population city use the library.
- 20. Week 1 Lecture MA 221 • For the Data: 56 74 84 98 88 77 79 74 80 91 The stem and leaf would be: 5| 6 6| 7| 4479 8| 048 9| 18
- 21. Week 1 Lecture MA 221 Skewness Think of a “Bell” Or Perfect Think of a “Block of wood” Mountain “Tail” to the Left “Tail” to the Right
- 22. Week 1 Lecture MA 221 • Find the mean, median and mode for the following set of data representing the number of children a sample of 10 families have living at home. Explain what each measure of center is in plain language. 2 2 3 1 0 3 0 1 0 2
- 23. Week 1 Lecture MA 221 • Find the range, mean, standard deviation for the following set of data representing the number of children a sample of 12 families have living at home. Know what the terms mean. 2 2 3 1 0 3 0 1 0 2 4 3
- 24. Week 1 Lecture MA 221 • Average sales per customer at a Fast Food Restaurant have a bell-shaped distribution with a mean of $5.37 and standard deviation of 78 cents. Using the empirical rule, give the following intervals. • 68% of the values would fall between what two values ( 5.37 - .78, 5.37+ .78) • 95% of the values would fall between what two values ( 5.37 - 2(.78), 5.37+ 2(.78)) • 99.7% of the values would fall between what two values ( 5.37 – 3(.78)), 5.37+ 3(.78))
- 25. Week 1 Lecture MA 221 • Explain all of the values associated with a box and whisker plot and what they mean. Max Min Median 3rd Quartile 1st Quartile
- 26. Week 1 Lecture MA 221 • Explain what a z score of zero would mean. Then explain the difference between a positive and a negative z score.
- 27. About Me I have worked in the NASA world since completing my graduate degree in 1987. I earned both my M.S. and B.S. in Mathematics from Jacksonville State University in Jacksonville, Alabama. I did Post Graduate work in Mathematics and Engineering Management at the University of Alabama, Huntsville. My teaching experience has included a number of colleges in Alabama and Virginia, as well as many years with DeVry. I am the live lecturer for all undergraduate and graduate statistics classes at DeVry. In my spare time I enjoy writing. My genre is observational humor. In other words, I just enjoy finding humor in the world and making people laugh. My stories can be found in newspapers and at www.CranksMyTractor.com .
- 28. Week 1 Lecture MA 221 • In the next couple of days, I will post these online at my “Statcave” site on Facebook. • You DO NOT have to be a Facebook person to see these, I simply post them there for convenience. • Website: www.facebook.com/statcave