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Week 1 Lecture
 MA 221
 Statistics for Decision Making
Professor Brent Heard
Not to be copied or linked to
without my permission
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)
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.
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.
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.
Week 1 Lecture MA 221
• Determine whether the variable is qualitative or
  quantitative.

Enrollment of an elementary school.
Week 1 Lecture MA 221
• Determine whether the variable is qualitative or
  quantitative.

Colors of cars in the parking lot of an office
 building.
Week 1 Lecture MA 221
• Determine whether the variable is qualitative or
  quantitative.

Zip Codes of the students in your online class.
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.

Nominal
Week 1 Lecture MA 221
• What is the data set’s level of measurement?

Daily low temperatures in Fahrenheit for
 December 2011.

Interval
Week 1 Lecture MA 221
• What is the data set’s level of measurement?

Number of dogs each of your classmates have at
 home.

Ratio
Week 1 Lecture MA 221
• What is the data set’s level of measurement?

College Football Rankings.

Ordinal
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.

Systematic because they are asking every nth or
 5th student in line
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.

Stratified because you have “20 classes” and you
 are selecting a specific number from each
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.

Cluster because I randomly chose one of the
 groups and surveyed ALL of them
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.

Convenience sampling because we are just asking
 those that are convenient
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.

Random sampling because everyone or thing has
 an equal of chance of getting selected
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.

Census because you can easily get all 75
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.

Sample because of the large number
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
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
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

Mean = 1.4 Median = 1.5 Mode = 0 AND 2
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

Range = 4 Mean = 1.75 Standard Deviation = 1.36
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))
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
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.

A z score of zero is right on top of the mean. A
 negative z score is below the mean. A positive z
 score is above the mean. It’s that simple.
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 .
Week 1 Lecture MA 221
• I sometimes post additional helps in my
  “Statcave” on Facebook
• You DO NOT have to be a Facebook person to
  see these, I simply post there for convenience
  and fun.
• Website: www.facebook.com/statcave

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Math 221 week 1 lecture nov 2012 with help

  • 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. Nominal
  • 10. Week 1 Lecture MA 221 • What is the data set’s level of measurement? Daily low temperatures in Fahrenheit for December 2011. Interval
  • 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. Ratio
  • 12. Week 1 Lecture MA 221 • What is the data set’s level of measurement? College Football Rankings. Ordinal
  • 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. Systematic because they are asking every nth or 5th student in line
  • 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. Stratified because you have “20 classes” and you are selecting a specific number from each
  • 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. Cluster because I randomly chose one of the groups and surveyed ALL of them
  • 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. Convenience sampling because we are just asking those that are convenient
  • 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. Random sampling because everyone or thing has an equal of chance of getting selected
  • 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. Census because you can easily get all 75
  • 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. Sample because of the large number
  • 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 Mean = 1.4 Median = 1.5 Mode = 0 AND 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 Range = 4 Mean = 1.75 Standard Deviation = 1.36
  • 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. A z score of zero is right on top of the mean. A negative z score is below the mean. A positive z score is above the mean. It’s that simple.
  • 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 • I sometimes post additional helps in my “Statcave” on Facebook • You DO NOT have to be a Facebook person to see these, I simply post there for convenience and fun. • Website: www.facebook.com/statcave