1. WELCOME BACK

2. 1st DAY WELCOME BACK 1. Find your assigned seat.
2. Take a statistics book (white) from back table.
3. Take 2 packs of M&M’s(do not eat).
4. Begin to fill out the pages that starts with NAME at the top.
5. Do scavenger hunt paper.
6. As doing WS also check book for any major problems.
7. I will call out your name , tell me your book #.

3. Other sheets
1. The assignment page goes in your binder for you to use.
2. The packet goes home to be filled out.
3. You return the 1st page to me and keep the other 2 pages at home.
4. Both you and your parents must sign the 1st page.
5. Bringing this page back to me signed is your first assignment and is worth 20 pnts.
6. Hall passes.
7. Turn in scavenger hunt & “name” paper on metal table, keep “name” paper with a number written on it.

4. Rules and the class

5. M & M’s Open both & count each color(total for both) Fill in name and #’s in chart%
RED
YELLOW
BLUE
GREEN
ORANGE
BROWN
TOTAL
TOTAL
FRACTION

8. Section 1.1 Objectives Define statistics
Distinguish between a population and a sample
Distinguish between a parameter and a statistic
Distinguish between descriptive statistics and inferential statistics
Larson/Farber 4th ed.

9. Data and Statistics
Data consists of information coming from observations, counts, measurements, or responses.
Statistics is the science of collecting, organizing, analyzing, and interpreting data in order to make decisions.
A population is the collection of all outcomes, responses, measurement, or counts that are of interest.
A sample is a subset of a population.

10. What is Data?
Data Consist of information coming from observations, counts, measurements, or responses.
“People who eat three daily servings of whole grains have been shown to reduce their risk of…stroke by 37%.” (Source: Whole Grains Council)
“Seventy percent of the 1500 U.S. spinal cord injuries to minors result from vehicle accidents, and 68 percent were not wearing a seatbelt.” (Source: UPI)
Larson/Farber 4th ed.

11. What is Statistics?
Statistics The science of collecting, organizing, analyzing, and interpreting data in order to make decisions.
Larson/Farber 4th ed.

12. Data Sets
Population
The collection of all outcomes, responses, measurements, or counts that are of interest.
Sample
A subset of the population.
Larson/Farber 4th ed.

13. Populations & Samples Example:
In a recent survey, 250 college students at Union College were asked if they smoked cigarettes regularly. 35 of the students said yes. Identify the population and the sample.
Responses of all students at Union College (population)
Responses of students in survey (sample)

14. Example: Identifying Data Sets
In a recent survey, 1708 adults in the United States were asked if they think global warming is a problem that requires immediate government action. Nine hundred thirty-nine of the adults said yes. Identify the population and the sample. Describe the data set. (Adapted from: Pew Research Center)
Larson/Farber 4th ed.

15. Solution: Identifying Data Sets
The population consists of the responses of all adults in the U.S.
The sample consists of the responses of the 1708 adults in the U.S. in the survey.
The sample is a subset of the responses of all adults in the U.S.
The data set consists of 939 yes’s and 769 no’s.
Responses of adults in the U.S. (population)
Responses of adults in survey (sample)
Larson/Farber 4th ed.

16. Parameters & Statistics
A parameter is a numerical description of a population characteristic.
A statistic is a numerical description of a sample characteristic.
Parameter
Population
Statistic
Sample

17. Parameter and Statistic
A number that describes a population characteristic.
Average age of all people in the United States
Statistic
A number that describes a sample characteristic.
Average age of people from a sample of three states
Larson/Farber 4th ed.

18. Example: Distinguish Parameter and Statistic
Decide whether the numerical value describes a population parameter or a sample statistic.
A recent survey of a sample of MBAs reported that the average salary for an MBA is more than $82,000. (Source: The Wall Street Journal)
Solution:
Sample statistic (the average of $82,000 is based on a subset of the population)
Larson/Farber 4th ed.

19. Example: Distinguish Parameter and Statistic
Decide whether the numerical value describes a population parameter or a sample statistic.
Starting salaries for the 667 MBA graduates from the University of Chicago Graduate School of Business increased 8.5% from the previous year.
Solution:
Population parameter (the percent increase of 8.5% is based on all 667 graduates’ starting salaries)
Larson/Farber 4th ed.

20. Parameters & Statistics
Example:
Decide whether the numerical value describes a population parameter or a sample statistic.
a.) A recent survey of a sample of 450 college students reported that the average weekly income for students is $325.
Because the average of $325 is based on a sample, this is a sample statistic.
b.) The average weekly income for all students is $405.
Because the average of $405 is based on a population, this is a population parameter.

21. Branches of Statistics
The study of statistics has two major branches: descriptive statistics and inferential statistics.
Statistics
Descriptive statistics
Inferential statistics
Involves the organization, summarization, and display of data.
Involves using a sample to draw conclusions about a population.

22. Branches of Statistics
Descriptive Statistics Involves organizing, summarizing, and displaying data.
e.g. Tables, charts, averages
Inferential Statistics Involves using sample data to draw conclusions about a population.
Larson/Farber 4th ed.

23. Example: Descriptive and Inferential Statistics
Decide which part of the study represents the descriptive branch of statistics. What conclusions might be drawn from the study using inferential statistics?
A large sample of men, aged 48, was studied for 18 years. For unmarried men, approximately 70% were alive at age 65. For married men, 90% were alive at age 65. (Source: The Journal of Family Issues)
Larson/Farber 4th ed.

24. Solution: Descriptive and Inferential Statistics
Descriptive statistics involves statements such as “For unmarried men, approximately 70% were alive at age 65” and “For married men, 90% were alive at 65.” A possible inference drawn from the study is that being married is associated with a longer life for men.
Larson/Farber 4th ed.

25. Descriptive and Inferential Statistics
Example:
In a recent study, volunteers who had less than 6 hours of sleep were four times more likely to answer incorrectly on a science test than were participants who had at least 8 hours of sleep. Decide which part is the descriptive statistic and what conclusion might be drawn using inferential statistics.
The statement “four times more likely to answer incorrectly” is a descriptive statistic. An inference drawn from the sample is that all individuals sleeping less than 6 hours are more likely to answer science question incorrectly than individuals who sleep at least 8 hours.

26. Section 1.1 Summary Defined statistics
Distinguished between a population and a sample
Distinguished between a parameter and a statistic
Distinguished between descriptive statistics and inferential statistics
Larson/Farber 4th ed.

27. Open book to page 6
1-22 together
Be ready to answer questions.

28. Assignment
Page