Transcript AP Stats – 1.1 Overview - Northland Preparatory Academy

AP Stats
1)
8/15
Which of the following is an example of qualitative data?
(a)
(b)
(c)
(d)
(e)
2)
BW
Percent of ozone loss
AKC dog breed
Class size
Amount of money spent on advertising during the Super Bowl
Gross Domestic Product (GDP) Percentage
Which of the following is an example of quantitative data?
(a)
(b)
(c)
(d)
(e)
Radiation levels in millirems of food in Japan
Fashionable colors by season of the year
Gender
High school grade level – freshmen, sophomore, junior or senior
Favorite sport
BW cont’d
3)
Which of the following is an example of discrete data?
(a)
(b)
(c)
(d)
(e)
4)
Lifetime (in hours) of 35 fluorescent light bulbs
Weights of dogs at the Seal Beach Animal Care Center
Temp of the Pacific Ocean at Huntington Beach
Number of hamburgers sold each day at Hamburger Mary’s
Amount of caffeine for 8 ounces of popular drinks
Which of the following is an example of continuous data?
(a)
(b)
(c)
(d)
(e)
Number of Netlix DVDs returned each day
Number of foreclosures in Las Vegas each month
Value of the New York Stock Exchange composite index each day at closing
Number of heartbeats per minute
Number of contacts you have on your cell phone
Section1.1 Overview
SWBAT:
Classify data sets and identify descriptive vs. inferential
statistics
STATISTICS….. What is it?
• We convert data into information and
information into knowledge. Wisdom is an
individual's ability to apply knowledge or
understanding in a given situation.
• It is the transformation of data into
knowledge where statistics comes in….
• Statistics is the science of collecting,
organizing, and interpreting data whether it
is numerical or non-numerical.
Statistics is classified into two
categories:
1) DESCRIPTIVE STATISTICS:
-involves data collection, presentation and characterization
EX: Data collected on delivery time of 5000 pizza orders found that the
average delivery time, a characteristics of data, was 16 minutes.
2) INFERENTIAL STATISTICS:
-make estimates, decisions and predictions about a population
EX: 99.7% of deliveries will always be made on time.
Identify Descriptive vs. Inferential
CIRCLE the part(s) of the study representing the descriptive statistic. Then
write an inferential statistic that might be drawn from the study.
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.
A survey conducted among 1017 men and women by Opinion Research
Corporation International found that 76% of women and 60% of men had
a physical exam within the previous year.
Descriptive vs. Inferential…cont’d
Determine the descriptive and inferential
statistics for the given graph
You Try….
The last four semesters an instructor taught Calculus, the following numbers of people passed the
class.
17
19
4
20
Which of the following conclusions can be obtained from purely descriptive measures (D) and which
can be obtained by inferential methods (I)?
•
The last four semesters the instructor taught, an average of 15 people passed the class.
•
The next time the instructor teachers, we can expect approximately 15 people to pass the class.
•
This instructor will never pass more than 20 people in a Calculus class.
•
The last four semesters the instructor taught, no more than 20 people passed the class.
•
Only 4 people passed one semester because the instructor was in a bad mood the entire semester.
•
The instructor passed 20 people the last time he taught the class to keep the administration happy.
•
The instructor passes so few people because he doesn’t like teaching Calculus.
Let’s back up a minute and look at
the two types of data sets….
1) POPULATION
and
2) SAMPLE
2 Types of Data Sets
apply sampling
techniques
Sample
Characterize using
statistic
POPULATION
Characterize using
parameters
use sample
To draw inference, estimates,
& conclusions about
population
IMPORTANT…
-CONTEXT is key when determining whether a
data set is a population or a sample
-The population parameter is rarely known.
It is what we are to make a ________________
about.
-The sample statistics are always known. We
use ___________________________________
EXAMPLES…
EX1:
I am conducting a study to find the average height of all the seniors
at NPA. I measure the heights of all students in our class.
• Population:
• Sample:
• Parameter:
• Statistic:
EX2:
In 2006, major league baseball teams spent a total of $2,326,706,685
on players’ salaries. Is this a population parameter or sample statistic?
Justify.
YOU TRY…
1) Identify the population, sample, parameter and statistic.
In a recent survey, 1708 adults in California were asked if they
think global warming is a problem that requires immediate government
action. Nine hundred thirty-nine adults said yes.
The US Department of Energy conducts weekly surveys
of approximately 800 gasoline stations to determine the
average price per gallon of regular gasoline.
On February 12, 2007, the average price was $2.24 per gallon.
YOU TRY…cont’d
2) Decide whether the numerical value describes a population parameter or a sample statistic.
EXPLAIN your reasoning.
Starting salaries for the 667 MBA graduates from the University of Chicago Graduate School
of business increases 8.5% from the previous year.
In a random check of a sample of retail stores, the Food and
Drug Administration found that 34% of the stores were not
storing fish at the proper temperature.
EXIT TICKET: Name_______________ Period___
During one week, Tony Gwynn of the San Diego Padres recorded the following
number of hits:
Sun
Mon
Tue Wed Thr Fri Sat
2
1
4
3
0
3
1
Which of the following conclusions can be obtained from purely descriptive
methods (D) and which can be obtained by inferential methods (I)?
(a) Tony will never have more than 4 hits in a game
(b) Tony had 0 hits on Thursday because he used a bat that belonged to
another player.
(c) During the week, Tony averaged 2 hits per game.
(d) Toni is a better hitter than any other baseball player.
(e) Tony had the same total number of hits in the first 3 games as he did in
the last 4 games.