AP Stats course Teacher: Hans van der Zwan
Handout week 2
Literature Starnes D. S., et al. (2015). The Practice of Statistics (5th ed.). New York: W. H. Freeman and Company/BFW.
SKILL_ID | SKILL | TOPIC_ID | TOPIC | LO_ID | LEARNING_OBJECTIVE |
No class today
SKILL_ID | SKILL | TOPIC_ID | TOPIC | LO_ID | LEARNING_OBJECTIVE |
1A | Identify the question to be answered or problem to be solved (not assessed). | 5.1 | Introducing Statistics: Why Is My Sample Not Like Yours? | VAR-1.G | Identify questions suggested by variation in statistics for samples collected from the same population. [Skill 1.A] |
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Topic: Sampling Distributions Book: Section 7.1, pp. 424-429
Discuss:
Short recap Chapter 5 and Chapter 6
Chapter 8 and subsequent chapters: Interference
Link between previous and future chapters: Ch. 7 Sampling Distributions
Difference between
The Sampling Distribution of a sample statistic - e.g. a sample proportion or a sample mean or a sample median - is the distribution of all possible values of this statistic for all samples with a given sample size. In other words, given the population, draw all possible samples with a given sample size, calculate the value of the sample statistic for all these samples. The distribution of all these values is the Sampling Distribution for this sample statistic given this specific sample size.
Sampling Distribution of the Sample Proportion Suppose a study on a population is being conducted; the variable of interest is a qualitative binary variable and the parameter of interest is the population proportion of ‘successes’. The study makes use of an SRS. Many SRS’s can be drawn from the population. Each of these samples has its own sample proportion psample. The distribution of all these possible psample’s is called the Sampling Distribution of the Sample Proportion.
Sampling Distribution of the Sample Mean Suppose a study on a population is being conducted; the variable of interest is a quantitative variable and the parameter of interest is the population mean. The study makes use of an SRS. Many SRS’s can be drawn from the population. Each of these samples has its own sample mean \(\bar{x}\). The distribution of all these possible \(\bar{x}\)’s is called the Sampling Distribution of the Sample Mean.
Practice Download Worksheet 2022 week02 (1). Make the exercises on the worksheet.
Study handout, your notes and pp. 424-431 from the text book.
Worksheet 2022 week 02 (1); upload in Google Classroom before start of next AP stats class.
SKILL_ID | SKILL | TOPIC_ID | TOPIC | LO_ID | LEARNING_OBJECTIVE |
1A | Identify the question to be answered or problem to be solved (not assessed). | 5.1 | Introducing Statistics: Why Is My Sample Not Like Yours? | VAR-1.G | Identify questions suggested by variation in statistics for samples collected from the same population. [Skill 1.A] |
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. |
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. |
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 |
See homework previous lesson
Topic: Sampling Distribution of a proportion Book: Section 7.1 and 7.2
Discuss
Practice: Sampling Distribution of a proportion Go to this website. The app on this site can be used to simulate SRS’s from a population with a known population proportion of successes. This can help to receive insight in Sampling Distributions of a Proportion. Go to the tab ‘Sample Proportion’, study the text and make the exercises.
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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. |
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. |
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 |
See homework previous lesson
Topic: Sampling Distributions of a Sample Proportion Book: 7.3, pp. 450-452
Discuss
Practice
Discuss
Study section 7.2 from the text book. Especially pay attention on the summary on p. 444 and the application of the theory in the example on pp. 445-446. Exercises: 7-29, 7-30, 7-36 (see work sheet)
Worksheet 2022 week 2 (3)
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. |
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 |
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. |
See homework previous lesson
Topic: Applying Sampling Distributions Theory Book: 8.2
Discuss
Practice
From now on every week questions from old exams have to be handed is. Work out these questions as it should be done on the exam. Grading will be based on the central guidelines for grading exams. Exam 2019: 1, 3..
