You will be able to provide one or more of these skills for your group today…
PlanningOrganization
Making TablesLearning Definitions
STICK-WITH-IT-NESSUsing a deck of cards
Making Frequency TablesAnalyzing Data
Using InferenceDistributions
Categorical vsQuanitative VariablesWhat are variables in stats?
What are individuals in stats?
Roles:
Resource Manager:Gets supplies, Organizes clean up, Team questions, Help collect data
Facilitator:Get a QS, Watch time, Be done with data collection by announced time, Help collect data
Recorder/Reporter:Make sure all data is collected on paper, Transfer data to class table, Help collect data
Team Captain:Subs for absent roles, Read task card, Make sure everyone participates, Help collect data
Supplies
Scratch paper for each person, One deck of cards per group, Pen or pencil, One nice piece of paper 8½ by 11 for final product
Scenario
An airline has just finished training 25 pilots, 15 male and 10 female, to become captains. Unfortunately, only eight captain positions are available right now. Airline managers announce that they will use a lottery to determine which pilots will fill the available positions. The names of all 25 pilots will be written on identical slips of paper, which will be placed in a hat, mixed thoroughly, and drawn out one at a time untill all eight captains have been identified.
A day later, managers announce the results of the lottery. Of the 8 captains chosen, 5 are female and 3 are male. Some of the male pilots who weren’t selected suspect that the lottery was not carried out fairly. One of these pilots asks their union rep for statistical advice about whether to file a grievance against the airline.
Task
The key question in this possible discrimination case seems to be: could these results have happened just by chance? To find you, and your classmates will simulate the lottery process that airline managers said they used.
Divide into pairs at your table…Captain with RR and Facilitator with RM.
- As a group, separate the cards into piles by suit. The Captain and RR should use ten cards from one suit to represent the female pilots. To represent the 15 male pilots, you’ll need all 13 cards of another suit plus two extra cards from a third suit. The Facilitator and RM can use the leftover cards from the deck to set up their simulation in a similar way.
- Shuffle your stack of 25 cards thoroughly and deal 8 cards. Count the number of female pilots selected. Record this value in a table like the one shown on the next page.
Trial: / 1 / 2 / 3 / 4 / 5
Number of Females:
- Return the 8 cards to you stack. Shuffle and deal four more times so that you have a total of five simulated lottery results and complete the table above.
- Your teacher will have a Class Frequency Chart to tally all group results. The Recorder Reporter should plot the number of females obtained in each of the five simulation trials on the Class Frequency Chart for both teams.
Final Product
Using the class frequency chart, discuss the overall results with your team then…
Transfer the Class Chart to your group final product.
Does it seem believable that airline managers carried out a fair lottery? Elaborate.
What advice would you give the male pilot who contacted you?
Would your advice change if the lottery had chosen 6 female and 2 male pilots? Explain.
Summary/Things to Know:
- Individuals – are the objects described by a set of data. Individuals may be people, animals or things.
- Variable – is any characteristic of an individual. A variable can take different values for different individuals.
- Categorical Variable – this places an individual into one of several groups or categories.
- Quantitative Variable – this takes numerical values for which it makes sense to find an average.
- Distribution – the distribution of a variable tells us what values the variable takes and how often it takes these values.
Do any of these terms apply to your simulation today? How? Why? Add your comments to your final product.
You are done…turn in final product
Kruzich 13