IB Math Studies II

BELL RINGER:

Enter data from problem 6 in your calculator.

• Write the Null and Alternative Hypothesis.
• Would you reject or accept the Null hypothesis? Why?

AGENDA:

1. Bell Ringer
2. Review Set 18A in pairs (pg. 597)

OBJECTIVE:

Students will use statistics to Evaluate the data of two Variables.

BIG PICTURE:

Statistics helps quantily the relationship between Data.

HOMEWORK:

Introduction for Internal Assessment is due tomorrow!!

• MUST be Emailed berfore 11:59 tomorrow.
• Atleast 2-3 Pages.
• Include ALL surveys if you are doing some.

Math Studies II 10/18/10

Bellringer: Enter data on page 599 problem number 3.
Low Average High Very high
No success 35 30 41 25
Low Success 28 41 26 29
Success 35 24 41 56
High Success 52 38 63 72

What is the expected value for Average Intelligence Success?
How is it found?

Agenda:
I. Bellringer
II. Writing a formal hypothesis
III. Introduction Questions

Objective:
Students will write and analyze a formal hypothesis.

Bellringer answer/Notes:

32.62 is the expected value for Average Intelligence Success.

[35 30 41 25 ]
[28 41 26 29 ]
[35 24 41 56] =156
[52 38 63 72]
Sum of column 2= 133 Total: 636
ΣR3 ● C2 = ΣC2 ● ΣR3 divded by Σ All students

[Expected value=32.62]

Chi-squared= 25.56
P= 0
Degrees of Freedom= 9
P value= Similar to standard deviation
Look on Page 596 in Math Studies book to learn how to calculate P value.
Page 594 shows you how to write your hypothesis.
Null Hypothesis (H0)= Intelligence level and business success are independent.
Alternative Hypothesis (H1)= Intelligence level and business success are NOT independent.

Cannot say dependent!

Example: Not guilty in a court of law is not the same as innocent because not guilty just means they weren’t found guilty (no evidence found) not that they’re innocent.

Because Chi-squared is less than 21.679 I can say with 99.9% confidence I can reject H0 in favor H1 and say that Intelligence level and business success are not independent.

Question of the Day: When finding the expected value of a data set in my TI-83 calculator where do I insert the data points?

Math Studies II 10-13-10

NO BELLRINGER!!
DUE WEDNESDAY 10/20/10

• INTRODUCTION of the IA

Should include:

1. Title
2. Clear statement of the task:
3. Hypothesis
4. A plan ( in steps)
5. If you have a survey or experiment make sure you attach a sample of it to your introduction.

Also DONT USE WORDS SUCH AS

1. Causation
2. Random

Linear Correlation

• Used for quantitative data > get it through R-Value

We worked on pg. 581 of our text book problem number 3

• Diagnostics on (calculator)
• L1 = Judge A L2= Judge B
• Enter Data in calculator
• Then go to stat, calc, and choose nr. 4=lin.reg
• Your results should look like this:
• y=ax+b
• a=1.297979798
• b=-2.411616162
• r2=.8883643358
• r=.9425308142

Plug everything in the equation of a line formula given = y= 1.30x+-2.41

Then press Stat, plot 1 (on), Fix windows, and Graph it.... Now you have your graph :)

NO HOMEWORK FOR TONIGHT BUT YOU CAN START ON YOUR INTRODUCTION!!!

Question of the day: What is the difference between r2 and r?

Math Studies II

Bellringer: Consider the question; Students' math grades and science grades are an indicator of college success, what data could i collect to pursue an evaluation of my hypothesis?

Agenda: I: Bell Ringer
II: Discussion of student topics

By 10.8.10 3:00pm !
Hw- In an e-mail to susysullivan@gmail.com

1. A topic for your project
2. A hypothesis to be explored
3. A minimum of 5 Data points to be collected

BIG PICTURE: Mathematics provides the tools to analyze data relationships

OBJECTIVE: students will find a project of interest to pursue for their internal assessment.


QUESTION OF THE DAY:
If i wanted to find data points on the effect of music on teenagers and their study habbits what could they be?

Math studies II 10-4-10

Agenda

• Bellringer
• Math Studies paper

Bellringer: Name 5 different Data points you could collect if your math Studies project was " The Relationship of Gross Domestic Product and Infant Health"

Possible answer

death rate per 1000 live births

Objective:Students will indentify a valid project that can be completed in 7 weeks.

Big picture: Math and statistics help und understanding the world around us.

Notes

• $4.3 trillion is Japan's Gross Domestic Income
• Based on population
• Infant mortality per every 1000 births
• Deaths per Day
• By gender/race/ethnicity
• Family income
• Goverment support of medicine

Amount of Data

• About 100 Data Points
• 4-5 data points

Types of Projects you can do

• execute an Experiment
• Execute a Survey
• Written by yourself or data that has be published and is valid.
• Liekert Scale
• from 1-5

Question of the Day: Name 3 data points that can be used to if my project question is "the relationship between obesity and health probelms"??

IB Math 2 10/1/10

Agenda

· Reminders

· Homework Review

· Internal Assessment

!!For All Students that were not at school today (10-1-10) all make up points from the test are due Monday!!

Home Work (We went over EX 18B.2 Questions 1&2)

1. The scatter plot alongside shows the association between the number of cars crashes in which a casually occurred and total number of car crashes in each year from 1972 to 1994. Given that r value is 0.49:

A) Find r^2

R=0.49

So what you do is this .49x.49= r^2=0.240

B) Describe the association between these variables.

Its Weak

2. In an investigation to examine the association between the Tread depth (y mm) and the number of kilometers travelled (x thousand) a sample of 8 tyres of the same brand was taken and the result are given below.

Kilometers (x thousand)	14	17	24	34	35	37	38	39	L1
Tread depth (y mm)	5.7	6.5	4.0	.30	1.9	2.7	1.9	2.3	L2

A) Draw A Scatter plot of the data

To make a scatter plot

Use your calculator and press stat and enter in edit

Place the following numbers in the appropriate Colum as shown by the red marking on top

After you done that go to

2^nd Y= and have the first plot on and the rest off

Then go to window and type in

Xmin=10

Xmax=40

Xscl=2

Ymin=0

Ymax=7

Yscl=5

X res remains as is (1)

Then plot

B) R= .951

R^2= .+904

Internal Assessment

!!Due Monday!! 10/04/10

Everyone must bring in a plan for what you will want to do for your math internal assessment. Use the big packet that ms.s gave you! For an idea. You can Google math internal assessment for ideas.

!!Due Thursday!! 10/7/10

Using your plans that you brought on Monday. You must bring in how you are planning to do your internal assessment.