Homework...and test Friday!

Tonight, please complete the 2 AP problems (2013#5 and 2012#3) provided in class.

Of course we have our test Friday, and so your homework tomorrow night will be to study.

Here are some the links to the answers:

2013: http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap13_statistics_scoring_guidelines.pdf

2012: http://apcentral.collegeboard.com/apc/public/repository/ap12_statistics_scoring_guidelines.pdf

And here is a link to the page that has ALL of the released free-response questions and ALL of the scoring guidelines.
http://apcentral.collegeboard.com/apc/members/exam/exam_information/8357.html

Review Tonight!

Tonight you have 2 AP problems to do from homework (on the handout provided)--numbers 2 and 3 from last year's AP exam. Please complete these (to be checked tomorrow). If you lost your copy, you can find the problems below.

Also, don't forget--TEST FRIDAY! This is a really big deal! Mr. Cawley and I will both be here tomorrow and Thursday after school if you'd like to study for the test or review for the exam!

Finally, here are links to the answers for the review homework:
http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap13_statistics_scoring_guidelines.pdf

Monday HW!

Back to work!

Only 8 more class period before the day of the exam!

Tonight, please complete the following in your textbook: 
Page 566: 3, 5, 7, 19

Enjoy!

Also, if you have not yet completed this weekend's homework (which counts as 5 assignments!), make sure you get it done! (It's review for Friday's test!)

5 Homework Assignments?

Juniors--enjoy your prom!

This weekend, please complete the test review provided in class. THIS WILL BE COUNTED AS 5 HOMEWORK ASSIGNMENTS!

• Your job is to do the work for each problem on separate paper and staple it to the back. Make sure that you number each question!
• I will collect this and give you a homework grade (based on your work) on Monday. 
• I know that some questions don't require work, like #1--that's ok. Only show work for the questions that apply. 
• I have uploaded the review under our classroom resources (in case you don't have it).
• OR, you can always email me and I can send you an attachment with the assignment (carofano.fm@easthartford.org).

Next Friday, we'll take our last major test (before the AP exam). It will be worth 100 points! (For some perspective, your take home test was worth 70). This review guide covers the topics for 21 of the 25 questions on Friday's test!

Chapter 24 Tomorrow!

Good work today, and on our take home tests! Keep it up!

Tonight, you have a worksheet on 2 sample t-intervals and 2-sample t-tests to complete. This is "new stuff." It is your job to figure out how to do these problems (you might need more space, so separate paper). The concepts are similar to our 2-proportion z-tests/intervals, so use those to help!

If you're stuck, look at the following to see some examples:

• Page 551-552 (2 sample t-interval, step by step)
•  Page 553-554 (yellow box) shows how to use your calculator for this
•  Page 556-558 (2 sample t-test, step by step)
• Page 558 (yellow box) shows how to use your calculator for this
• IGNORE EVERYTHING ABOUT A POOLED T-TEST IN THE TEXTBOOK
•  

And here are the questions/context, in case you lost your paper:

The paper “Ladies First?” A Field Study of Discrimination in Coffee Shops (Applied Economics [2008]) describes a study in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the customer were observed. The mean wait time for a sample of 145 male customers was 85.2 seconds; the mean wait time for a sample of 141 female customers was 113.7 seconds. The sample standard deviations (estimated from graphs in the paper) were 50 seconds (for males) and 75 seconds (for females). Suppose that these two samples are representative of the populations of both female and male coffee shop customers.

1. Verify that the conditions for a 2-sample t-test/interval are satisfied.

2. Estimate the difference in mean wait times for males and females using 98% confidence.

3. Interpret this interval.

4. Is there convincing evidence that the mean wait time differs for males and females? Test the relevant hypotheses using a significance level of 0.05. (all 4 steps!)

 

T-Tests!

Are you studying for the AP Exam? How?

Tonight, please complete Quiz B and Quiz C; you have 2 t-tests to complete, and 2 "find sample size" questions. Many of us do not have the program for these questions yet (as Nawaz and Matt work to perfect it), so you'll have to do the math by hand!

Here are the steps to solve for n (if you're stuck with the algebra):
**Check out the yellow box on page 536 of your book for a different approach than the one below**

1.  Set up your ME equation using the ME (margin of error) formula
2. Divide both sides by z*
3. Cross multiply (remember, you can put any number over 1)
4. Divide both sides by the coefficient to sqrt(n)
5. Square both sides

 And lastly, if you don't have the homework problems, here they are!

2'sDay Homework!

And you know I'm checking ALL of our homework until May 9th...

Tonight, please complete:
Page 541: 9, 11, 13, 15

We'll be moving quickly--tomorrow we'll finish up this chapter! Make sure you use the homework to practice so that you don't fall behind; we'll have a quiz on this stuff pretty soon!

Keep up the good work! See you all tomorrow!

Back to work!

The countdown is on--only 13 days of class left before May 9th, the day of our AP Exam!

Tomorrow we will get back into the t-distribution, and continue to look at t-intervals and t-tests! We'll be finishing up this chapter by Wednesday, likely with a quiz at the end of the week!

Tonight, please complete the "Stat Rap" assignment. This will be collected and graded (tomorrow). If you need a copy, you can find the assignment under our classroom resources.

If you were absent today, make sure you have your take home test AND the Stat Rap assignment tomorrow!

April Break!

We made it! This is a very important week for us...not only do we need this opportunity to recharge and give our brains a rest, but it's also a critical time to start preparing for AP exams! Enjoy the week, go outside, catch up with friends, and study a little AP Stat! Come back ready to work on Monday!

After break, we have 14 class periods until Friday, May 9th, the day of our AP exam!

As for your break work, here's what you need to know:

• TAKE HOME TEST IS DUE MONDAY, 4/21! NO EXCEPTIONS!
• If you are late, you will lose 10 points per day you are late
• If at least 95% of us turn it in on time (per class), we will earn 15 "homework passes" after the AP exam
• I will be at EHHS Tuesday and Thursday from 10:00 am - Noon to answer questions, and you'll be able to work in groups! MAKE SURE YOU BRING ALL OF YOUR NOTES AND SUCH--most of my answers will direct you where to look in your notes; I won't just tell you what to do!
• This is a major test grade (70 points)! Do well! In addition, it's great review for our exam!
• As always, feel free to email anytime:
• carofano.fm@easthartford.org, cawley.kt@easthartford.org
• Stat Rap Assignment is due Tuesday, 4/22
• You will likely have homework Monday night (as we start chapter 23), so if you have time, it might be best to get it done over break!
• This is a 20 point classwork grade

When we come back we will have to move quickly through T-Tests, T-Intervals, 2-Sample T-Tests, 2-Sample T-Intervals, and Paired T-Tests!

Enjoy the week! 

TEST TOMORROW

STUDY!

You have lots of resources! Use them!

I've uploaded images of Quiz A (and its answers) below. The "math part" of your test is Quiz B...same questions, just a different context!

As for the matching, you have two sections:

1. Part 1: Matching Vocab
2. Part 2: Match 5 questions to the appropriate test or interval (or none of the above).

Here's the vocab list:

• Confidence Interval
• Hypothesis Test
• Critical Value
• Standard Error
• Margin of Error
• Null Hypothesis
• Alternative Hypothesis
• Confidence Level
• Standardized Test Statistic
• P-Value
• Alpha Level
• Reject the Null Hypothesis
• Fail to Reject the Null Hypothesis
• Statistical Inference
• Type I Error
• Type II Error
• Power
• Pooling
• Beta

Other updates:

• The "Stat Rap Assignment" is due the Tuesday after break (and it's uploaded under our classroom resources/assignments)
• Take home test is due the Monday we return from break (no exceptions!)
• I will be here from 10:00 am - Noon on Tuesday and Thursday to help/answer questions
• This is also uploaded under our classroom resources/assignments

Your quiz tomorrow will include......

1. Graphing a function given an equation
2. Given a sentence, write an equation (like number 2 from our stamp today)
3. There will be 3 true or false questions about definitions of amplitude and period, and another about the tangent graph that you guys graphed in class.
4. Given a picture, find the equation.
5. And then a writing question like your homework problems earlier in the week

You all have seen questions like these before, just look over all the homework from the last week and you should be fine.
Don't be afraid to email me at cawley.kt@easthartford.org if you have an questions!!

Thursday HW:

Tonight, please complete the Inference for 2 Proportions worksheet provided in class. If you lost it, the questions are below.

Tomorrow we'll use the class period to work in groups and do some more 2-proportion z-test practice, and then we might look at a Stat Rap assignment.

Friday is test day! Vocab, a 2 proportion z-interval, and a 2-proportion z-test! If you can do tonight's homework, you know all of the math you need to know for chapter 22!

Inference for Two Proportions

1.)    Among 242 Cleveland-area children born prematurely at low birth weights between 1977 and 1979, only 74% graduated from high school. Among a comparison group of 233 children of normal birth weight, 83% were high school graduates.

a.) Verify that the conditions for a 2 Proportion Z Interval are met.

b.) Create a 95% confidence interval for the difference in graduation rates between children of normal and very low birth weights.

c.) Interpret the meaning of your interval, in context.

d.) Based on your interval above, do you believe there is a significant difference in the proportion of normal and low birth weight babies who graduate? Explain your reasoning.

2.) Using an appropriate hypothesis test, determine if there is a statistically significant difference between graduation rates of normal and low birth weight babies. (We’ll skip the conditions since they’ve been checked above).

                i.) State your null and alternative hypotheses, using appropriate notation.

ii.)  Find the z-score and then your p-value. Show a sketch of a Normal model with the p-value shaded and labeled.

iii.) Interpret your p-value, in context.

3. Among 242 Cleveland-area children born prematurely at low birth weights between 1977 and 1979, only 74% graduated from high school. Among a comparison group of 233 children of normal birth weight, 83% were high school graduates.

a.) Based on this scenario regarding premature children explain what Type I error would be and name one consequence.

b.) Based on this scenario regarding premature children explain what Type 2 error would be and name one consequence.

c.) Based on your answers above, would you prefer a higher (10%) or lower (1%) alpha level? Explain your reasoning.

Stats HW!

Tomorrow we'll wrap up our 2-proportion z-tests!

Don't forget, tomorrow we have a mandatory AP registration meeting after school in the cafeteria.

Tonight, please complete the following:
Page 508: 15, 17, 19, 21

*If you have trouble showing the work (for the math), no worries--make sure you can at least use your calculator to get z and the p-value. We'll worry more about the math tomorrow in class.

Monday Homework!

The fourth quarter is officially on! We have approximately 19 more classes until the AP exam! Be ready for 19 days of hard work!

Tonight, it begins...do your homework! Please complete the following:

Page 508: 4, 6, 8

Enjoy! See you all tomorrow!

Weekend Homework!

Saturday Session Tomorrow! Be here for 8 for some breakfast, and then we'll start our classes at 8:30!

For homework this weekend, please complete the following. This will count as a double homework grade--it's the first grade of the fourth reading!

Page 507: 1abc, 3, 5, 7

And if you didn't get your chapter 22 reading quiz done, bring it Monday for a little less than full credit! Don't start the quarter with a 0!

Thursday's HW:

Tonight, you have a few things to do:

1. Finish your chapter 22 reading quiz! This is your first quiz grade of the 4th quarter, so get it done! If you don't have the paper, look at yesterday's blog post for the questions.
2. If you haven't turned in your stamps, tomorrow is your last chance to bring them in!
3. Please use the context below and do each of the following:

• The Context:
• Who’s more intelligent, men or women? To find out what people think, Gallop polled 520 women and 506 men. Pollsters showed a list of attributes and asked participants to indicate whether it generally applied to a man or woman. 28% of men thought men were more intelligent, but only 14% of women agreed. Is there a gender gap in opinions about which sex is smarter? What would we estimate the size of this gap to be?
• Find n, p-hat, and x for each sample (men and women)
• Check the 3 conditions (10%, random sample, success/failure) for BOTH samples (men and women)
• Show the "work"--that is, substitute the appropriate values into the formula for a 2-proportion z-interval
• Calculate the 2 proportion z-interval using your graphing calculator
• If you'd like to get ahead, try to interpret your interval! That's the hard part with these...

How'd you do?

Did you get an A on the test today?

Tonight, please complete the chapter 22 reading quiz using your textbook. This will be your first quiz grade of the 4th quarter, so get a 100%! This is actually due on Friday, but you'll have some book problems to do tomorrow....so I'd recommend you do it tonight! If you lost your paper or were absent, the questions are below.

One other thing...Cynthia sent me an email about a Khan Academy app you can download. I'm sure many of you have used this site before, but the app might make life a little easier. It has some tutorial videos you can use to start reviewing for the AP Stat exam, or you can use it for other math classes (and in college!). Search your app store and download it (for free)! The link to the website is below, and under our resources on the right.

https://www.khanacademy.org/

Here's the reading quiz...

Chapter 22 Reading Quiz:

Use your textbook to answer each of the questions below as you read the chapter. Be sure your answers are thorough! The more you work on this, the better prepared you’ll be as we (quickly) move through this chapter!

1.)    In addition to the three conditions we must check—for each of our two samples—there is one assumption we must make –the independent groups assumption (page 497).

a.       What is this assumption?

b.      Why is this assumption important?

2.)    In this chapter, we will begin to explore a two-proportion z-interval. What is the formula for a two-proportion z-interval?

3.)    Just below the heading “Everyone into the Pool,” the first sentence states that our hypothesis (test) is about a new parameter. What is this parameter?

4.)    Define pooling.

5.)    How do we find “p-hat, pooled?” Write the formula below, or describe how it is calculated.

6.)    List the four conditions we must check for a two proportion z-test (or interval). (If you can’t find them, take a look at the “Step-by-Step” examples!)

7.)    Examine the “two-proportion z-test” box on page 502.

a.       Why do we have to use a pooled p-hat?

b.      What is the formula for the z-score that we will use?

8.)    What are the three bolded, “What Can Go Wrong?” statements on page 505?

9.)    Use the glossary on page 506 to define “two-proportion z-interval.”

10.) At the bottom of page 506 there is a summary that shows the skills that we should know.

a.       Record the three skills listed under the “think” heading.

b.      What two skills are listed under “show?”

c.       What four skills are listed under “tell?”

TEST TOMORROW!

STUDY, STUDY, STUDY!

Also, don't forget--STAMPS ARE DUE TOMORROW TOO! (Please count them, double check, and write the total on the front--we will randomly generate 5 names in each class to double check).

Tomorrow's test is our most weighted test of the quarter....so get an A! Use the questions provided in class (and below) to help you study!

AP Statistics Test Review: Ch. 19,20, 21

Mr. Carofano plans to estimate the true percentage of EHHS underclassmen who plan to take AP Statistics. He takes a sample of 120 underclassmen, and 29 of them plan to take AP Statistics. Based on past data, it is believe that approximately 10% of underclassmen take AP Statistics.

1. Verify that the conditions for inference are satisfied.
2. Calculate the margin of error for this sample (98% confidence).
3. Estimate the true percentage of underclassmen who plan to take AP Stat using a 98% confidence interval.
4. Interpret the meaning of this interval.
5. Explain the meaning of “98% confidence.”
6. How can Mr. Carofano narrow the width of his interval? What would cause the interval to widen?
7. Based on your interval, do you believe the percentage of underclassmen who plan to take AP Stat has risen?
8. Is there significant evidence to suggest that the percentage of underclassmen taking AP Stat is rising? Conduct and appropriate test at the 5% level of significance. (hypotheses, conditions, math, conclusion).
9. Explain the meaning of the p-value, in context.
10. If the percentage of students in AP Statistics has risen, more sections of the course will be offered and another teacher will be hired. If not, there will only be 3 classes offered.
a. Identify the meaning of a Type I and Type II error in context.
b. Identify a consequence of each.
11. The probability of a Type I error is 5%, and the probability of a Type II is 15%. Calculate the power.
12. Explain the meaning of the power of this test, in context.
13. If Mr. Carofano wants a margin of error of only 4%, what sample size should be used (at 98% confidence)?

Also, make sure you know how to find sample size!   A couple other announcements...   1. The Saturday review session is this Saturday; are you going? 2. We have a mandatory AP meeting next Wednesday, 4/9, after school. 3. The quarter closes Friday!