Handout week 3

AP Stats course Teacher: Hans van der Zwan Handout week 3

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 2022-01-16

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1D	Identify an appropriate inference method for confidence intervals.	6.2	Constructing a Confidence Interval for a Population Proportion	UNC-4.A	Identify an appropriate confidence interval procedure for a population proportion.
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
3D	Construct a confidence interval, provided conditions for inference are met.	6.2	Constructing a Confidence Interval for a Population Proportion	UNC-4.C	Determine the margin of error for a given sample size and an estimate for the sample size that will result in a given margin of error for a population proportion.
3D	Construct a confidence interval, provided conditions for inference are met.	6.2	Constructing a Confidence Interval for a Population Proportion	UNC-4.D	Calculate an appropriate confidence interval for a population proportion.
3D	Construct a confidence interval, provided conditions for inference are met.	6.2	Constructing a Confidence Interval for a Population Proportion	UNC-4.E	Calculate an interval estimate based on a confidence interval for a population proportion
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
4C	Verify that inference procedures apply in a given situation.	6.2	Constructing a Confidence Interval for a Population Proportion	UNC-4.B	Verify the conditions for calculating confidence intervals for a population proportion.

Preparation for lesson

See homework previous lesson.

Theory

Topic: Sampling Distributions of a Sample Mean Book: 7.3, pp. 450-458

Class Activities

Discuss

Review: Sampling Distributions of a Sample Proportion

Practice

Sampling Distributions of a Sample Mean
https://zwan.shinyapps.io/sampledistmean/

Homework

Worksheet 2022WK03_1

Lesson 2 Mon 2022-01-17

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
3C	Describe probability distributions.	5.3	The Central Limit Theorem	VAR-6.C	Determine the appropriateness of using the normal distribution to approximate probabilities for unknown distributions.
3C	Describe probability distributions.	5.3	The Central Limit Theorem	UNV-3.H	Estimate sampling distributions using simulation.

Preparation for lesson

See homework previous lesson

Theory

Topic: Central Limit Theorem Book: pp. 453-461

Class Activities

Discuss:

Homework
Central Limit Theorem

Practice

Homework

Exercises Worksheet 2022WK03_2

Lesson 3 Tue 2022-01-18

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

Sampling Distribution of the Mean
Point and Confidence Interval Estimation for a Population Mean

Book: 8.1

Class Activities

Discuss

recap Sampling Distributions of the Mean, CLT
estimating an unknown Population Mean, SD known
using z-values from the Standard Normal Distribution Table

Practice

Worksheet 2022 WK03 (3)

Homework

Work through Worksheet 2022 WK03 (3)

Lesson 4 Wed 2022-01-19

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 a proportion and sample size

Book: 8.2

Class Activities

Discuss

Confidence Intervals for un unknown population proportion
Determining the sample size to estimate a Population Proportion

Practice

Worksheet 2022 wk 03 (4)

Homework

Work through Worksheet 2022 wk 03 (4)

Lesson 5 Thu 2022-01-20

Learning Objectives

Preparation for lesson

See homework previous lesson

Theory

Topic: Sampling Distributions Book: Chapter 7

Class Activities

Make book, pp. 468-469 AP Statistics Practice Test
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

Worksheet 2022 week 3 (4)

Homework to hand in

Exam 2019: 2, 5