You have a couple things to worry about this weekend, and these may be our last 2 graded assignments of the quarter (other than homework and stamps). So these will have an important impact on your grade.
1. Vocab Test Monday! Study, study, study! Here's the list of words:
Sampling Distribution, Central Limit Theorem, Standard Error, 10% Condition-->independence, Randomization-->generalization, Success Failure-->large enough sample (for Normal Model), Confidence Interval, Margin of Error, Critical Value, Null Hypothesis--what we assume to be true, Alternative Hypothesis, One vs. Two Tailed Test, PValue, One Proportion ZTest, One Proportion ZInterval, Proportion (used for categorical data), Mean (used for quantitative data), p vs. p hat, xbar vs. mu, Alpha Level, Statistical Inference, Interpret CI vs. meaning of _% confidence, Sampling Variability, Population Parameter, Sample Statistic, Sample Size, 2 proportion z-test, 2 proportion z-interval
2. Take Home Quiz Due Monday! The questions are below (in case you lost it):
1.) Among 242 randomly selected 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 randomly selected children of normal birth weight, 83% were high school graduates.a.) Verify that the conditions for a 2 Proportion Z Interval are met. (4 points)
b.) Create a 95% confidence interval for the difference in graduation rates between children of normal and very low birth weights. (4 points)
c.) Interpret the meaning of your interval, in context. (4 points)
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 points)
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).
a.) State your null and alternative hypotheses, using appropriate notation. (3 points)
b.) Find the z-score and then your p-value. Show a sketch of a Normal model with the p-value shaded and labeled. (4 points)
c.) What do you conclude based on the p-value calculated above? (4 points)
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. (4 points)
b.) Based on this scenario regarding premature children explain what Type 2 error would be and name one consequence. (4 points)
c.) Based on your answers above, would you prefer a higher (10%) or lower (1%) alpha level? Explain your reasoning. (2 points)
3. Stamps are due on Wednesday/Thursday! (you need 20)
Enjoy your weekend and I'll see you Monday!
Thursday, March 28, 2013
Wednesday, March 27, 2013
Wednesday HW
Only 1 more school day of this short week! Tomorrow (Thursday) in class we'll do some practice with the 2 proportion z tests/intervals.
Tonight, please complete the following in your textbook:
Page 509: 11, 15, 19, 21
*Feel free to skip the conditions for 19,21*
Course Announcements:
Tonight, please complete the following in your textbook:
Page 509: 11, 15, 19, 21
*Feel free to skip the conditions for 19,21*
Course Announcements:
- Vocab Test is MONDAY.
- Take home quiz is due Monday (I'll post it online tomorrow)
- Stamps are due next Thursday! (you need 20)
Tuesday, March 26, 2013
Monday, March 25, 2013
2 Proportion Z Intervals!
We're onto chapter 22! We'll finish this all before the end of the week, and you will likely have a take home quiz this (3 day) weekend.
Tonight, please complete the following in your textbook:
Page 507: 1, 3, 4, 5
Also, we have a vocab test on inference for proportions this Thursday! Study!
***Period E***
Since we had our fire drill here's your modified homework:
1abcde (for e try to use your graphing calculator to find the interval and answer this question)
3ab (on calculator) d
4ab (on calculator) d
5ab (on calculator)
In other words, just find all the confidence intervals with your calculator and skip the intepretations.
Tonight, please complete the following in your textbook:
Page 507: 1, 3, 4, 5
Also, we have a vocab test on inference for proportions this Thursday! Study!
***Period E***
Since we had our fire drill here's your modified homework:
1abcde (for e try to use your graphing calculator to find the interval and answer this question)
3ab (on calculator) d
4ab (on calculator) d
5ab (on calculator)
In other words, just find all the confidence intervals with your calculator and skip the intepretations.
Friday, March 22, 2013
Weekend HW!
Hopefully you're feeling confident about the test today! We'll see! (Don't stress!)
Get a 100% on the take home quiz! Use your notes!
Here are the take home quiz questions in case you forgot/lost/didn't get them (each @ 2 points):
1. What is the null hypothesis? What is the alternative hypothesis? (explain what each is, don’t simply provide “Ho” and “Ha”).
2. What are the four components of conducting a hypothesis test? In other words, what are the four steps to this process?
3. What is the difference between a one-sided test and a two-sided hypothesis test?
4. What are the conditions for inference for a hypothesis test for proportions?
5. Define p-value.
6. How do we determine if we reject the null hypothesis? If we fail to reject the null hypothesis? (Reference p-value and significance level).
7. What mathematics (work) do we need to show in obtaining our p-value?
Get a 100% on the take home quiz! Use your notes!
Here are the take home quiz questions in case you forgot/lost/didn't get them (each @ 2 points):
1. What is the null hypothesis? What is the alternative hypothesis? (explain what each is, don’t simply provide “Ho” and “Ha”).
2. What are the four components of conducting a hypothesis test? In other words, what are the four steps to this process?
3. What is the difference between a one-sided test and a two-sided hypothesis test?
4. What are the conditions for inference for a hypothesis test for proportions?
5. Define p-value.
6. How do we determine if we reject the null hypothesis? If we fail to reject the null hypothesis? (Reference p-value and significance level).
7. What mathematics (work) do we need to show in obtaining our p-value?
Thursday, March 21, 2013
STUDY!
Study tonight! Tomorrow's test is a big deal! 70 points! Make me proud!
If you'd like, here are some review questions you can use to study for the test. These questions pretty much summarize everything you need to know for tomorrow:
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)?
If you'd like, here are some review questions you can use to study for the test. These questions pretty much summarize everything you need to know for tomorrow:
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)?
Wednesday, March 20, 2013
Wednesday!
Almost to our test!
*It turns out my meeting is at 3:30 tomorrow, so I can stay until like 2:50 if you have questions...*
Tonight, please complete the following (and start studying!)
Page 491: 1, 3, 9, 21 (I may add one more tomorrow
Here are the review questions we looked at after school:
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)?
*It turns out my meeting is at 3:30 tomorrow, so I can stay until like 2:50 if you have questions...*
Tonight, please complete the following (and start studying!)
Page 491: 1, 3, 9, 21 (I may add one more tomorrow
Here are the review questions we looked at after school:
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)?
Tuesday, March 19, 2013
Tuesday HW
I think I'm going to have to move your test to Friday....
Tonight, please complete the following:
Page 491: 12, 14, 27, 28
**We will have an after school review for the test tomorrow**
If you tried to get ahead, don't worry...this is tomorrow's (Wednesday) homework:
Page 491: 1, 3, 9, 21 (I may add one more tomorrow)
Tonight, please complete the following:
Page 491: 12, 14, 27, 28
**We will have an after school review for the test tomorrow**
If you tried to get ahead, don't worry...this is tomorrow's (Wednesday) homework:
Page 491: 1, 3, 9, 21 (I may add one more tomorrow)
Monday, March 18, 2013
Monday Funday!
We will have a TEST on inference for one proportion (one-proportion z intervals and tests) THURSDAY. On Friday we'll begin some new stuff.
Tonight, please complete the following in your textbook:
Page 492: 11, 13, 17, 19 (**Skip any questions about the power of a test, as we didn't get to those yet...11e, 17def, 19e**)
Tuesday's HW (if you want a head start...)
Page 491: 1, 3, 9, 21 (I may add one more tomorrow)
Tonight, please complete the following in your textbook:
Page 492: 11, 13, 17, 19 (**Skip any questions about the power of a test, as we didn't get to those yet...11e, 17def, 19e**)
Tuesday's HW (if you want a head start...)
Page 491: 1, 3, 9, 21 (I may add one more tomorrow)
Friday, March 15, 2013
Weekend HW!
1. Enjoy your weekend! Play outside!
2. Your job is to complete the 25 multiple choice questions we started in class. If you were absent, I still expect you to do this! You can find these questions under the classroom powerpoints and assignments link; scroll down to assignments to find "Ch. 19-20 MC (Due Mon 3/19).".
See you all Monday!
PS....we'll probably have a 15 minute, 1 question quiz on Tuesday--an entire one-proportion z-test!
2. Your job is to complete the 25 multiple choice questions we started in class. If you were absent, I still expect you to do this! You can find these questions under the classroom powerpoints and assignments link; scroll down to assignments to find "Ch. 19-20 MC (Due Mon 3/19).".
See you all Monday!
PS....we'll probably have a 15 minute, 1 question quiz on Tuesday--an entire one-proportion z-test!
Thursday, March 14, 2013
Thursday HW!
Tonight, two hypothesis tests...
Please complete the two tests (about fair coins and gender selection) provided in class. If you were absent or lost yours, I've provided the contexts below. (Make sure you complete all four steps for each problem!)
Tomorrow we'll work through some multiple choice questions in groups and complete a two tailed test.
Then its on to chapter 21 Monday!
Tonight's HW:
1. Advances in medical care such as prenatal ultrasound examination now make it possible to determine a child’s sex early in pregnancy. Some fear that some cultures may use this to select their children’s gender. A study from Punjab, India reports that in 1993 in one hospital 56.9% of 550 live births were boys. Medically, male babies are slightly more common than females; for this region, our baseline is 51.7% male live births. Do you believe parents may be selecting gender?
2. You want to test if a coin is fair by examining the percent of heads that you see. You flip the coin 244 times, and it lands on heads 105 times. Is there statistical evidence to suggest that the coin is not fair? (*Two-tailed test*)
Please complete the two tests (about fair coins and gender selection) provided in class. If you were absent or lost yours, I've provided the contexts below. (Make sure you complete all four steps for each problem!)
1. Write Hypotheses
2. Check Conditions
3. Do the math (use your calculator, then show the work!)
4. Write your conclusion
Tomorrow we'll work through some multiple choice questions in groups and complete a two tailed test.
Then its on to chapter 21 Monday!
Tonight's HW:
1. Advances in medical care such as prenatal ultrasound examination now make it possible to determine a child’s sex early in pregnancy. Some fear that some cultures may use this to select their children’s gender. A study from Punjab, India reports that in 1993 in one hospital 56.9% of 550 live births were boys. Medically, male babies are slightly more common than females; for this region, our baseline is 51.7% male live births. Do you believe parents may be selecting gender?
2. You want to test if a coin is fair by examining the percent of heads that you see. You flip the coin 244 times, and it lands on heads 105 times. Is there statistical evidence to suggest that the coin is not fair? (*Two-tailed test*)
Wednesday, March 13, 2013
Wednesday HW!
More problems to enjoy! Yay hypothesis tests!
page 469: 3, 5, 10, 13 (use an alpha level of .05)
Tomorrow we'll do some more with the Ho's and Ha's!
page 469: 3, 5, 10, 13 (use an alpha level of .05)
Tomorrow we'll do some more with the Ho's and Ha's!
Tuesday, March 12, 2013
New Stuff! Yes!
I hope you all love Ho's and Ha's as much as I do!
Tonight, please complete the following:
page 469: 1, 2, 9, 15
Enjoy! More notes tomorrow!
Tonight, please complete the following:
page 469: 1, 2, 9, 15
Enjoy! More notes tomorrow!
Monday, March 11, 2013
Back to the grind!
Well, CAPT is finally over! Back to work! It's the home stretch to the AP exam; we still have to work through chapters 20-27, and hopefully have some time for review!
Tomorrow (Tuesday), we'll begin our notes on chapter 20. We'll be rejecting Ho's! Be ready!
Hopefully you're all feeling confident after today's quiz on confidence intervals and finding sample size!
Tonight, please complete the chart using the statistics we created to measure skewness!
*I made a mistake regarding the values of the third formula (Max - Median)/(Median - Min)...can you see what it is?
And lastly, thank you SO MUCH to those of you who came to the Saturday session. As always, I was truly proud of all of you who made it. I very much appreciate your commitment to our class, and hope (and believe) it will continue through May 10th (at least). Hopefully you were able to get a little more help than usual with such a small (comparatively speaking) number of students. One more to go! (And it's right before the AP exam, so I expect all of you to be there!)
Tomorrow (Tuesday), we'll begin our notes on chapter 20. We'll be rejecting Ho's! Be ready!
Hopefully you're all feeling confident after today's quiz on confidence intervals and finding sample size!
Tonight, please complete the chart using the statistics we created to measure skewness!
*I made a mistake regarding the values of the third formula (Max - Median)/(Median - Min)...can you see what it is?
And lastly, thank you SO MUCH to those of you who came to the Saturday session. As always, I was truly proud of all of you who made it. I very much appreciate your commitment to our class, and hope (and believe) it will continue through May 10th (at least). Hopefully you were able to get a little more help than usual with such a small (comparatively speaking) number of students. One more to go! (And it's right before the AP exam, so I expect all of you to be there!)
Thursday, March 7, 2013
Thursday....
Tonight, STUDY STUDY STUDY!
See a post below (from a couple/few days ago) for a detailed description of the quiz!
Enjoy your afternoon!
**Saturday Session, this Saturday @ 8! Make sure you bring your calculators, something to write with, and something to write on!**
See a post below (from a couple/few days ago) for a detailed description of the quiz!
Enjoy your afternoon!
**Saturday Session, this Saturday @ 8! Make sure you bring your calculators, something to write with, and something to write on!**
Wednesday, March 6, 2013
We survived the CAPT seminar!
Thank you all so much for not being crazy. Sorry if I was a little cranky toward the end, it's a chaotic day. But that's no excuse. I specifically would like to apologize to Kayla, Micaela, Chris, and David for being a little rude. I'm sorry to each of you for being a jerk, which I'm pretty sure I was.
You all know I just want you focused, working, and doing your best, all the time. I truly believe in every single one of you.
Enough emo....good work today! Make sure you push yourself through the investigative task on the exam! Get at least half done to boost your score!
I hope you enjoyed the snacks and are ready to get back to work tomorrow! New stuff!
Tonight, don't forget to finish the multiple choice we started Tuesday!
(I can't wait to get back to a normal weekly schedule, the home stretch to the AP exam is here...)
You all know I just want you focused, working, and doing your best, all the time. I truly believe in every single one of you.
Enough emo....good work today! Make sure you push yourself through the investigative task on the exam! Get at least half done to boost your score!
I hope you enjoyed the snacks and are ready to get back to work tomorrow! New stuff!
Tonight, don't forget to finish the multiple choice we started Tuesday!
(I can't wait to get back to a normal weekly schedule, the home stretch to the AP exam is here...)
Tuesday, March 5, 2013
Tuuuuesday HW
If you didn't finish the multiple choice in class today, please do so tonight. Otherwise, no homework. Just a few things to be aware of:
- CAPT Seminar Tomorrow: 7:30 in the East Lecture Hall
- In the morning, we'll start with an exploration of the Investigative Task...
- Breakfast in the cafe from 9:00-9:30 (I'll bring some small snacks...)
- **Bring any notes or textbooks you would like to use on your group test. I will not have any resources for you to use.
- Saturday Session: this weekend, 3/9/13 @ 8
- Same deal as last time...
- Come through the gym lobby and sign in!
- Breakfast starts @ 8, classes @ 8:30
- Quiz Friday!
- We will have one Free-Response question as a quiz on Friday.
- Checking conditions, naming, and calculating a one-proportion z-interval
- Calculating sample size given ME
Friday, March 1, 2013
Weekend HW!
I won't see you all until Tuesday, so we've got an extra homework problem this weekend...(Monday you have periods A,B,C,D starting at 11)
And don't forget, our mandatory CAPT seminar is Wednesday.
HW:
Page 447: 10, 13, 18, 29, 31, 37
(And since it's a little longer, it'll count a little more than a usual homework.)
And don't forget, our mandatory CAPT seminar is Wednesday.
HW:
Page 447: 10, 13, 18, 29, 31, 37
(And since it's a little longer, it'll count a little more than a usual homework.)
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