AP Stats BW 8/15 1)Which of the following is an example of qualitative data? (a)Percent of ozone loss (b)AKC dog breed (c)Class size (d)Amount of money spent on advertising during the Super Bowl (e)Gross Domestic Product (GDP) Percentage 2) Which of the following is an example of quantitative data? (a)Radiation levels in millirems of food in Japan (b)Fashionable colors by season of the year (c)Gender (d)High school grade level – freshmen, sophomore, junior or senior (e)Favorite sport

BW cont’d 3)Which of the following is an example of discrete data? (a)Lifetime (in hours) of 35 fluorescent light bulbs (b)Weights of dogs at the Seal Beach Animal Care Center (c)Temp of the Pacific Ocean at Huntington Beach (d)Number of hamburgers sold each day at Hamburger Mary’s (e)Amount of caffeine for 8 ounces of popular drinks 4)Which of the following is an example of continuous data? (a)Number of Netlix DVDs returned each day (b)Number of foreclosures in Las Vegas each month (c)Value of the New York Stock Exchange composite index each day at closing (d)Number of heartbeats per minute (e)Number of contacts you have on your cell phone

Section1.1 Overview SWBAT: STATISTICS….. What is it? Classify data sets and identify descriptive vs. inferential statistics

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 2) INFERENTIAL STATISTICS: -make estimates, decisions and predictions about a population EX: Data collected on delivery time of 5000 pizza orders found that the average delivery time, a characteristics of data, was 16 minutes. 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 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 POPULATION Sample To draw inference, estimates, & conclusions about population Characterize using statistic use sample apply sampling techniques Characterize using parameters

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 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.