AP Exam

Good luck on the AP Exam-hope you enjoyed the snacks.

AP Review

In class students continued to review for the AP Exam.  We identified the various tests for inference and the assumptions and conditions for each tests.

Notes - Stats Review

Hypothesis Testing Sample I

Answer Key - Hypothesis Testing Sample I

Hypothesis Testing Sample II

Answer Key - Hypothesis Testing II

If there are any problems or questions, fell free to email me at tfesko@mph.net or stop by.  Keep studying!

AP Review

In class students continued to review for the AP by working on a Part I practice exam.  Continue working on the multiple choice and extended response questions for homework.  Come in with any problems or questions you may have concerning review.

AP Review Cont.

In class we continued to review for the AP Exam.  Next class we will be working on the 2013 Multiple Choice.  At the end of next class, students should have completed 3 Part I's and 3 Part II's.

Come to class with any problems or questions.

Review Cont.

In class we went over the 1997 Released AP Statistics exam.  Afterwards, students began working on the 2011 Part II Exam.

The Part II Exam and the answer key are attached below.

AP Statistics 2011 Examination - Part II

AP Statistics 2011 Examination - Part II - Answer Key

Part I - Review (cont.)

In class we continued to review the multiple choice section of the AP exam.  We completed the 2014 multiple choice and ironed out some of the misconceptions students are having at this time. 

For homework complete the 1995 Released Exam.

1997 Released Exam

1997 Released Exam Answer Key

Part I - Review

After going over the answers to the 2013 Part II part of the AP exam, students worked on Part I of the 2014 exam.  I will give you time in class to finish the exam before going over.

The 2013 Part II answer key is linked below as is the homework.

2013 Part II - Answer Key

18 Sample Multiple Choice Questions

AP Review - Part II's

In class we started to review for the AP exam by completing 2014 part II.  Afterwards, we wnet over the assignment.  Below is the homework that is due next class which we will go over at the beginning of the period.

HW - 2013 Part II

Inferences for Regression (2)

In class students completed inferences for regression.  We are now finished with the course and will start to review.

The notes are attached and the homework is listed below.

Notes - Linear Regression (2)

HW - pg. 672-676 (37, 38)

Quiz - Chi-squared Tests

In class students took a quiz on Chi-Squared Tests.  Afterwards, students completed a review sheet on linear regression.  If you did not finish the assignment, complete it for homework.

HW - Linear Regression Review

Inference for Regression

In class students went over the practice quiz on chi-squared tests.  Afterwards, students reviewed how to calculate linear regression and interpret statistics related to the regression (ex. r, r-squared).

The notes are attached and the homework is listed below.

Notes - Inference for Regression (1)

HW - Read pgs. 656-667
          Finish Investigative Task #12
          Study for Quiz - Chi-Squared Tests

Review - Chi-Squared Tests

In class students reviewed chi-squared tests for goodness-of-fit, homogeneity, and independence.  Students should now be able to complete a hypothesis test for each, state an appropriate conclusions and check the standardized residuals if necessary.

The homework is attached below.

HW - Practice Quiz - Comparing Counts - due 4/15...quiz Friday 4/17
          Read pgs. 649-656
          Investigative Task #12 - AP Stat Scores - due 4/17

Chi-Squared Test for Independence

In class students learned how to conduct a chi-squared test for independence which is similar to the process used for the chi-squared test for homogeneity.

The notes are attached and there is no homework.  Have a good break!

Notes - Chi-Squared Test for Independence

Chi-Squared Test for Homogeneity

In class student learned how to conduct a chi-squared test for homogeneity-one categorical variable along two groups.

The notes are attached and the homework is listed below.

Notes - Chi-Squared Test for Homogeneity

HW - pgs.646 (27, 28, 33) and pg. 685 (1, 4a)
          Read pgs. 632-639

Chi-Squared Goodness-of-Fit Test

In class students learned how to complete a chi-squared goodness-of-fit test for categorical data.

The notes are attached as is a video from Khan Academy showing how to conduct the test.  The homework is listed below.

Notes - Chi-Squared Goodness-of-Fit

Khan Academy Video - Chi-Squared Goodness-of-Fit

HW - Complete pg. 643 (5, 7, 9) and pg. 614 (23)
          Read pgs. 626-632
          Finish investigative Task #11 - SAT (II)

Paired Samples and Blocks

In class students were introduced to hypothesis test for paired samples (observational studies) and blocks (experiment).  When conducting a t-test for the difference the samples should be paired.

The notes are attached as it the Investigative Task.  The homework is listed below.

Notes - Paired Samples and Blocks

HW - Investigative Task #11  - Due Monday March 30th
          Read pgs. 618 - 626 (Chi-Squared Test - Goodness of Fit)
          *Finish make-up work 3/27*

Quiz - Inference in for means and proportions

In class students took a quiz on inference (confidence intervals/hypothesis testing) for sample means and sample proportions. 

HW - Read Chapter 25, if you have not done so already, paired samples and blocks

Quiz Review - Inference for proportions and means

In class we reviewed inference for sample proportions and sample means.  Remember, whenever inference is involved (confidence interval/hypothesis testing), make sure to check the specific assumptions and conditions.

HW - Study for Quiz
       - Read Chapter 25 - Paired Samples
       - Finish Investigative Task - SAT scores

Comparing Means

In class students learned how to calculate a confidence interval and conduct a hypothesis test for the difference of means.  For a hypothesis test, you must complete the following:

1. Find sample means/std. deviations-use comparative box plots to compare distributions.

2. Generate null and alternative  hypothesis from above data and data displays.

3. Check Assumptions and Conditions:
                                           a. Independent Assumption (Random/Less than 10%)
                                           b. Independent Groups Assumption (no overlap/no interaction)
                                           c. Nearly Normal Assumption - (draw histograms/n > 30?)

4. Identify and Complete test - t-test/p-value

5. State conclusion in context and provide confidence interval.


The notes are attached and the homework is listed below


Notes - Comparing Means


HW - pgs. 581-583 (12, 13, 21, 27, 31)
         Investigative Task #10 - SAT Scores
         *Quiz Thursday March 19th

Inferences for means

In class students learned how to generate a confidence interval and conduct a hypothesis test for the sample means.  Almost all the time we do not have the population standard deviation (if we did, we could use a Z-interval/Z-test) so we use a t-interval or t-test. 

The homework is listed below and the notes are attached.

Notes - Inference for Means

HW - pgs. 557-558 (31, 37, 38, 39)
          read Chapter 24 pgs. (560-576)

Two Proportion z-intervals and z-tests

In class students were introduced to two proportions z-intervals and z-tests.  Comparing two proportions is often more interesting than comparing one proportion (ex. experiments).  The only new assumption you must identify is the independent group assumption as the two groups must be independent or no overlap.

The homework is listed below and the notes are attached.

Notes - Two Proportion z-intervals and z-tests

HW - pgs. 528 (24, 29, 31)
          read pgs. 530-545

Quiz and Investigative Task #9

In class students took a quiz on confidence intervals and hypothesis testing for sample proportions.  Afterwards, students were given an investigative task to complete by next Monday, March 9.

***A copy of the investigative task is linked to previous post***

Quiz Review - CI and HT for 1 Porportion

In class we reviewed confidence intervals and hypothesis tests.  We also touched upon Type I and Type II error. 

HW - Study for Quiz
          Read Chapter 22 - Testing Two Proportions

***Investigative Task #9 - Life After High School***

Due: Monday, March 9

Hypothesis Wisdom

In class students learned about the relationship between confidence intervals and hypothesis tests.  Students also learned about alpha levels, beta levels and Type I and Type II error.


The notes are attached and the homework is listed below.

Notes - Hypothesis Wisdom

HW - pg. 478 (26, 27) and pg. 501 (19-22)
         Read Chapter 22 (504 - 518)

Hypothesis Testing - Sample proportions - Continued

In class we continued to work on hypothesis testing.  Remember to complete all the steps when conducting a confidence interval:

1.  Hypothesis - Null/Hypothesis
2.  Test - Check assumptions/conditions; state test to be used
3.  Mechanics - z -score, p-value
4. Conclusion - reject/fail to reject null; state Confidence Interval (CI)

Notes - Hypothesis Testing Cont.

HW - Quiz Review - CIs and HTs
          Read Chapter 21

Hypothesis Testing

In class students were introduced to hypothesis testing.  There will be a number of hypothesis tests students will need to be familiar with upon completing the course-we will start with the "1 proportion z-test."  Remember when conducting a hypothesis test you need to complete the following :

1) Hypothesis - state null/alternative
2) Test - identify test to be completed (1 proportion z-test)
3) Mechanics - (z-score/p-value)
4) Conclusion - (reject/fail to reject null; include confidence interval)


The notes are attached below; there is no homework.

Notes - Choosing Sample Size

Notes - Hypothesis Testing - 1 proportion Z-Test

Confidence Intervals for Sample Proportions

In class students learned how to create a confidence interval for sample proportions (on calc. - 1prop-Zint).  Remember, whenever you are creating a confidence interval, check the appropriate assumtions and conditions (10 RIBS..thank you Jenae).  Afterwards, we can use the calculator to calculate the appropriate confidence interval.  Finally,  you must also interpret the interval correctly.   Give we never know the p, or the true proportion, we should state for example:

" I am 95% confident that the true proportion of high students who like Taylor Swift is between 62 and 71%."


The homework is listed below and the notes are attached.

Notes - Confidence Intervals for Sample Proportions

HW - pgs. 454-456 (1-11 odd, 21, 23, 25)
          Read Chapter 20 - Hypothesis Tests (pgs. 459-474)

Sampling Distributions for Sample Means

In class students learned about sampling distributions for sampling means.

The homework is listed below and the notes are attached.

Notes - Sampling Distributions for Sample Means

HW - pgs. 432-434 (29-32, 37, 41)
         Read Chapter 19 (435 - 452)

Sampling Distributions for Sample Proportions

In class we differentiated between a sample distribution and a sampling distribution.  Afterwards, we took a look at a few examples. 

The homework is listed below and the notes are attached.

Notes - Sampling Distributions for Sample Proportions

HW - pgs. 432-434 (1 - 19 odd)
          read pgs. 419-430 (Sampling Distributions for Sample Means)

Quiz - Probability

In class students took a quiz on probability. 


The homework is listed below.


HW -Read pgs. 412-419

Probability Review

In class students reviewed advance probability focusing on Chapters 16 and 17 in the textbook.  Afterwards, students took a practice quiz.

The practice quiz and answer key are attached below.  The homework is listed.

Practice Quiz

Answer Key - Practice Quiz

HW - Study for Quiz
          Read Chapter 18

The Normal model to the Rescue (again)

In class we learned the we can use the normal model to determine probabilities for samples that are significantly large by checking the 10% condition and success/failure condition. 

The homework is listed below and the notes are attached.

Notes - From the Binomial Distribution to the Normal Model

HW - pgs. 401 - 403 (1, 2, 18, 20, 22, 26, 35)

*Probability Quiz on Wednesday 1/28*

Bernoulli Trials

In class students were introduced to Bernoulli trials which are defined as follows:

                                    1) Two possible outcomes (p = success; q = failure)
                                    2) Probability of Success is constant
                                    3) Trails are independent

In class we looked at geometric probability models (defined by 1 parameter - p) and binomial probability models (defined by 2 parameters - p and n).

The notes and formula sheet is attached below.  The homework is listed.

Notes - Bernoulli Trials (1)

HW - pgs. 401 - 403 (7, 9, 11, 15, 17, 19, 21)
          Read pgs. 397-399

AP Statistics - Formula Sheet

Notes - Continuous Random Variables

In class students learned how to find probabilities for continuous random variables.

The notes are attached and the homework is listed below.

Notes - Continuous Random Variables

HW - pgs. 384-386 (25, 26, 29, 30, 37, 41, 42, 46)
          Read pgs. 388-396

**Quiz next Wednesday January 21st

Adding, Multiplying and adding independent variables.

In class we reviewed what happens to the expected value E(x) and standard deviation s(x) when we add/subtract a constant and multiply/divide a constant.

add/subtract a constant...E(x ± c) = E(x) ± c
                                        s(x ± c) = s(x)


multiply/divide a constant...E(ax) = a E(x)
                                             s(ax) = a s(x)


Afterwards, we talked about what happens when we add two independent variables.


adding two (or more) independent variables...E(x1 ± x2) = E(x1) ± E(x2)

Notes - Discrete Random Variables (cont.)

HW - pgs. 384-385 (21, 23, 27, 33, 35, 36)
          read pgs. 377-381