Handout week 4

AP Stats course Teacher: Hans van der Zwan Handout week 4

Literature Starnes D. S., et al. (2015). The Practice of Statistics (5th ed.). New York: W. H. Freeman and Company/BFW.

Handout per lesson

Lesson 1 Sun 2022-01-23

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1D	Identify an appropriate inference method for confidence intervals.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.O	Identify an appropriate confidence interval procedure for a population mean, including the mean difference between values in matched pairs
3C	Describe probability distributions.	7.2	Constructing a Confidence Interval for a Population Mean	VAR-7.A	Describe t-distributions.
3D	Construct a confidence interval, provided conditions for inference are met.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.Q	Determine the margin of error for a given sample size for a one-sample t-interval.
3D	Construct a confidence interval, provided conditions for inference are met.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.R	Calculate an appropriate confidence interval for a population mean, including the mean difference between values in matched pairs.
4C	Verify that inference procedures apply in a given situation.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.P	Verify the conditions for calculating confidence intervals for a population mean, including the mean difference between values in matched pairs

Preparation for lesson

Theory

Topic: Confidence Interval for an unknown Population Mean Book: 8.3

Class Activities

Discuss

Confidence Intervals for the mean, \(\sigma\) known, using critical z-values
Confidence Intervals for the mean, \(\sigma\) unknown, using critical t-values

Homework

Exercises 8-55, 8-56 Study pp. 514-517; Exercises 8-57, 8-58, 8-59

Lesson 2 Mon 2022-01-24

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1D	Identify an appropriate inference method for confidence intervals.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.O	Identify an appropriate confidence interval procedure for a population mean, including the mean difference between values in matched pairs
3C	Describe probability distributions.	7.2	Constructing a Confidence Interval for a Population Mean	VAR-7.A	Describe t-distributions.
3D	Construct a confidence interval, provided conditions for inference are met.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.Q	Determine the margin of error for a given sample size for a one-sample t-interval.
3D	Construct a confidence interval, provided conditions for inference are met.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.R	Calculate an appropriate confidence interval for a population mean, including the mean difference between values in matched pairs.
4C	Verify that inference procedures apply in a given situation.	7.2	Constructing a Confidence Interval for a Population Mean	UNC-4.P	Verify the conditions for calculating confidence intervals for a population mean, including the mean difference between values in matched pairs

Preparation for lesson

See homework previous lesson

Theory

Topic: Confidence intervals for means, sample size Book: 8.3

Class Activities

Repeat: Confidence Intervals for unknown Population Mean
Practice: Exercises 8-61, 8-63, 8-66
Study: Determine Sample Size for interval estimate for \(\mu\); pp. 522-523
Practice; Exercises 8-73, 8-74

Homework

See Class Activities; make the exercises not made in class and check the answers
Exercises 8-75 to 8-78

Lesson 3 Tue 2022-01-25

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
3B	Determine parameters for probability distributions.	5.5	Sampling Distributions for Sample Proportions	UNC-3.K	Determine parameters of a a sampling distribution for sample proportions.
3B	Determine parameters for probability distributions.	5.7	Sampling Distributions for Sample Means	UNC-3.Q	Determine parameters for a sampling distribution for sample means
3C	Describe probability distributions.	5.5	Sampling Distributions for Sample Proportions	UNC-3.L	Determine whether a sampling distribution for a sample proportion can be described as approximately normal.
3C	Describe probability distributions.	5.7	Sampling Distributions for Sample Means	UNC-3.R	Determine whether a sampling distribution of a sample mean can be described as approximately normal
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	5.5	Sampling Distributions for Sample Proportions	UNC-3.M	Interpret probabilities and parameters for a sampling distribution for a sample proportion
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	5.7	Sampling Distributions for Sample Means	UNC-3.S	Interpret probabilities and parameters for a sampling distribution for a sample mean

Preparation for lesson

See homework previous lesson

Theory

Topic: Confidence Intervals for a proportion and sample size Estimating other parameters based on Sampling Distribution

Class Activities

Discuss: Confidence Intervals for un unknown population proportion (repeat)
Practice: Exercise 8-33, 8-35, 8-36
Discuss: pp. 501-503, Determining the sample size to estimate a Population Proportion
Practice: Exercises 8-43, 8-44, 8-47

Homework

See Class Activities; make the exercises not made in class and check the answers
Exercises 8-49 to 8-52

Lesson 4 Wed 2022-01-26

Learning Objectives

Preparation for lesson

See homework previous lesson

Theory

Topic: Interval estimation based on simulated Sampling Distribution AP stats exam 2019: 6

Class Activities

Discuss

Estimating Standard Error, based on Sampling Distribution; Exam 2019: 6
Estimate Median based on Sampling Distribution of the Median
Bootstrapping
Overview Chapter 7
Overview Chapter 8

Homework

Study: Chapter Review Chapter 7, p. 465 Study: Chapter Review Chapter 8, p. 531

Lesson 5 Thu 2022-01-27

Topic: repeat Chapter 7

Go to the AP Statistics Practice Test, on pp 468-469 in the textbook

First make the MC questions and check your answers with the answers on p. S-33. Be sure you understand what you did wrong, if needed ask your classmates. Send your questions about exercises you still do not understand to hvanderzwan@whitmanacademy.edu.jo.
Then make the FRQ T7-12 and follow the same procedure.
If time is left, make FRQ T7-11 and T7-13

Homework

Prepare for test on Monday 1/31 about Chapter 7 and Chapter 8

Homework to hand in

Exam 2018: 1, 2