Sunday, October 30, 2005

Chapter 5 - Experimental design, sampling, simulation

The test wil be Monday, November 8. Be thinking about what experiment or data collection activity you can perform during your lunch on Wednesday at the honor card event.

8 comments:

Mrs.L said...

My bad. An apiary is a place where bees live. There is no special name for the place where the butterflies roam. The term butterfly house is used to represent both large, walk-in facilities as well as small wooden boxes with teeny slits in them which could house a few butterflies. Another term used in some places is a conservatory.

If you would like a bit of information about the Cecil B. Day Butterfly Center at Callaway Gardens, here's a neat website: http://travel.canoe.ca/Travel/Activities/Families/2005/04/08/988716.html

See you Wednesday. The test will be on Monday.

How about a special workshop on the language of statistics, focusing on interpreting the questions on tests? We're looking at Friday. Which sounds better to you, 3:45 PM or early evening?

Email me to let me know. . ..

Mrs. L

Mrs.L said...

Then, after school (3:45 PM)it is! Ms. Sinon has arranged for another sponsor to work with the Asian American Association tomorrow.

Mrs.L said...

These are the challenges that we worked on in class:

Calculator Activities
Simulation Challenges
Can you make your calculator. . .
• Flip one fair coin?
• Flip two fair coins?
• Flip two fair coins and count the number of heads?
• Flip two fair coins fifty times and count the number of heads?
Can you make your calculator. . .
• Roll one die?
• Roll one die and signal if a 4 is rolled?
• Roll one die fifty times and count how many 4s are rolled?
• Roll two dice and count how many times the sum equals 7?
Can you make your calculator. . .
• Roll two dice with strange numbers?
• Determine which of the dice has a greater number showing?
• Count the number of times that one of the dice “wins”?
• Run this program as many times as you want?
Can you make your calculator. . .
• Select three random numbers between 00 and 99 inclusive?
• Add the numbers that it selected?
• Determine whether the sum is a multiple of 5?
• Repeat the investigation many times to estimate the true proportion of times this occurs?

Mrs.L said...

Let's use the book's problem 5.79 as an example.

Because each of the probabilities can be expressed in 2 decimal places, let's plan to use a table of random digits taking two digits at a time.

Before we proceed, we establish our mapping:
01-05 means 0 cheesecakes
06-20 means 1
21-45 means 2
46-70 means 3
71-90 means 4
and 91-99 or 00 means 5

Now, start at a row of the TORD--let's use #150

The first two digits are 07, indicating a demand for 1 cheesecake. The next two digits are 51 which means 3 cheesecakes. Record these values and continue until you get 30 days of records.

Happy simulating!

Mrs.L said...

See you at CiCi's on Sunday 11/6 from 2 to 4.

Mrs.L said...

Can you explain why simulation is used?

Mrs.L said...

How does one select a stratified random sample?

A stratified random sample is used when you want to be sure that each layer of your population is represented in your sample. For instance, a student council requires representatives from each class (even though we would not consider the selection of representatives to be random!).

You break your population into groups based on some important characteristic (age, income, etc.). Then select a simple random sample from each of those groups. When you combine all of the random samples you selected, you have a stratified random sample which is partly random, but is guaranteed to include members of each group.

Mrs.L said...

How does one select a stratified random sample?

A stratified random sample is used when you want to be sure that each layer of your population is represented in your sample. For instance, a student council requires representatives from each class (even though we would not consider the selection of representatives to be random!).

You break your population into groups based on some important characteristic (age, income, etc.). Then select a simple random sample from each of those groups. When you combine all of the random samples you selected, you have a stratified random sample which is partly random, but is guaranteed to include members of each group.