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Unit 1: Let’s Get Started. Day 2 Notes Where is this used? Who thought of this? Statistics today…. We see on TV…. 4 out of 5 doctors recommend…. We see on TV…. Obama leads by 3% (+ or – 4 %). Statistics is….

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unit 1 let s get started

Unit 1: Let’s Get Started

Day 2 Notes

Where is this used? Who thought of this?

Statistics today…

we see on tv

We see on TV…

4 out of 5 doctors recommend…

we see on tv1

We see on TV…

Obama leads by 3% (+ or – 4 %)

a way to convert numbers into useful information so that good decisions can be made
Statistics is…

A way to convert numbers into useful information so that good decisions can be made.

slide5
How are statistics used today?

Manufacturing

Medical Studies

Advertisements

Management

Government

Sports

who thought of this stuff
Who thought of this stuff?
  • The Bible: Moses (3000 + years ago)
  • European mathematicians
    • Sir William Petty (1532)
      • First accounts of deaths in London on a weekly basis
    • James Bernoulli (Swiss, 1600’s)
      • Probability of a sequence of events
    • Thomas Bayes (English, 1700’s)
      • Probability concepts
more recently
More Recently….
  • 20th century ROCKS for statistics
    • William Gossett
      • Student’s t-distribution
        • Guinness brewery in Dublin, Ireland
    • W. Edwards Deming (1950’s and 1960’s)
      • Used statistics with Japanese manufacturers
statistics today
Statistics Today
  • Descriptive or Inferential
  • Descriptive:
    • Summarizing or displaying data so we can quickly obtain an overview
    • Easier, calculator-friendly
  • Inferential:
    • Making claims or drawing conclusions about a population based upon a sample of data from that population.
descriptive or inferential
Descriptive or Inferential?
  • Comparing the average attention span of GHS students to the average attention span of their dogs
  • Estimating the average attention span of GHS students based upon the attention span of those in Mrs. Brittenham’s class
some inferential statements
Some Inferential Statements:
  • Based on a recent sample, I am 95 percent certain that the average age of my customers is between 32 and 35 years old.
  • The average salary for male employees in a particular job category across the country was higher than the female employees’ salary, based on a random survey.
population and sample
Population and Sample
  • Population:
    • All possible measurements or outcomes that are of interest to us in a particular study
      • Examples:
        • All GHS students
        • Citizens of Bowling Green
        • All females in America
population and sample1
Population and Sample
  • Sample:
    • A portion of the population that is representative of the population from which it is selected
      • Random selection of 50 GHS males
      • Random selection of 200 Bowling Green citizens
      • Random survey of 300 females in America
your turn
Your turn:
  • Identify each of the following statistics as either descriptive or inferential.

1

73% of Asian American households in the US own a computer.

your turn1
Your turn:
  • Identify each of the following statistics as either descriptive or inferential.

2

Households with children under the age of 18 are more likely to have access to the Internet (62%) than family households with no children (53%).

your turn2
Your turn:
  • Identify each of the following statistics as either descriptive or inferential.

3

Hank Aaron hit 755 career home runs.

your turn3
Your turn:
  • Identify each of the following statistics as either descriptive or inferential.

4

The average SAT score for incoming freshmen at a local college was 950.

your turn4
Your turn:
  • Identify each of the following statistics as either descriptive or inferential.

5

On a recent poll, 67 percent of Americans had a favorable opinion of the President of the United States.

your turn5
Your turn:
  • In each of the following, identify the population and the sample.

6

A local politician wants to know the proportion of Warren County residents who support her. She takes a list of registered Democrats and randomly selects 1000 to ask if they support her.

your turn6
Your turn:
  • In each of the following, identify the population and the sample.

7

Greenwood’s basketball coach wants to know the average height of boys at Greenwood. He randomly selects 50 boys and records their height.

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