Candy Machine.

Slides:

Advertisements

Similar presentations

Chapter 7: Sampling Distributions

Advertisements

Assuming normally distributed data! Naïve Bayes Classifier.

Sampling Distributions for Proportions Allow us to work with the proportion of successes rather than the actual number of successes in binomial experiments.

Penny for your thoughts

CHAPTER 7 Sampling Distributions

Mean, Variance, and Standard Deviation for the Binomial Distribution

Significance Tests for Proportions Presentation 9.2.

UNIT FOUR/CHAPTER NINE “SAMPLING DISTRIBUTIONS”. (1) “Sampling Distribution of Sample Means” > When we take repeated samples and calculate from each one,

Ch 7 - Sampling Distribution

Sampling Distributions of Proportions

Simulating a Sample Distribution

Chapter 9.2: Sample Proportion Mr. Lynch AP Statistics.

Section 9.2 Sampling Proportions AP Statistics. AP Statistics, Section 9.22 Example A Gallup Poll found that 210 out of a random sample of 501 American.

+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 7: Sampling Distributions Section 7.2 Sample Proportions.

+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Sampling Distributions Section 9.2 Sample Proportions.

Key Concepts, continued To determine the probability of an outcome using continuous data, we use the proportion of the area under the normal curve associated.

Bernoulli Trials Two Possible Outcomes –Success, with probability p –Failure, with probability q = 1  p Trials are independent.

+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 7: Sampling Distributions Section 7.2 Sample Proportions.

A.P. STATISTICS LESSON SAMPLE PROPORTIONS. ESSENTIAL QUESTION: What are the tests used in order to use normal calculations for a sample? Objectives:

9.2: Sample Proportions. Introduction What proportion of U.S. teens know that 1492 was the year in which Columbus “discovered” America? A Gallop Poll.

The Sampling Distribution of

7.2: Sample Proportions.

THE NORMAL DISTRIBUTION AND Z- SCORES Areas Under the Curve.

The Normal distribution and z-scores

+ Unit 7: Sampling Distributions Lesson 3: Sample Means.

Chapter 7: Sampling Distributions Section 7.2 Sample Proportions.

The Practice of Statistics Third Edition Chapter 9: Sampling Distributions Copyright © 2008 by W. H. Freeman & Company Daniel S. Yates.

AP STATS: WARM UP I think that we might need a bit more work with graphing a SAMPLING DISTRIBUTION. 1.) Roll your dice twice (i.e. the sample size is 2,

Section 9.1 Sampling Distributions AP Statistics January 31 st 2011.

7.2 Sample Proportions Objectives SWBAT: FIND the mean and standard deviation of the sampling distribution of a sample proportion. CHECK the 10% condition.

Sampling and Sampling Distributions Chapter 8.4 – 8.7.

Sampling Distributions of Proportions. Toss a penny 20 times and record the number of heads. Calculate the proportion of heads & mark it on the dot plot.

+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 7: Sampling Distributions Section 7.1 What is a Sampling Distribution?

Section 5-4 Mean, Variance, and Standard Deviation for the Binomial Distribution.

Chapter 7: Sampling Distributions

CHAPTER 9 Sampling Distributions

Section 9.2 – Sample Proportions

Chapter 7: Sampling Distributions

CHAPTER 7 Sampling Distributions

Section 8.3: The Sampling Distribution of a Sample Proportion

Distribution of the Sample Proportion

Peanuts (a) Since averages are less variable than individual measurements, I would expect the sample mean of 10 jars to be closer, on average, to the.

Chapter 7: Sampling Distributions

CHAPTER 7 Sampling Distributions

Peanuts (a) Since averages are less variable than individual measurements, I would expect the sample mean of 10 jars to be closer, on average, to the.

Chapter 7: Sampling Distributions

Chapter 7: Sampling Distributions

Chapter 7: Sampling Distributions

Chapter 7: Sampling Distributions

CHAPTER 7 Sampling Distributions

Sampling Distributions of Proportions section 7.2

Chapter 9: Sampling Distributions

CHAPTER 7 Sampling Distributions

CHAPTER 7 Sampling Distributions

Section 9.2 Sampling Proportions

Chapter 7: Sampling Distributions

Chapter 7: Sampling Distributions

Chapter 7: Sampling Distributions

CHAPTER 7 Sampling Distributions

Chapter 7: Sampling Distributions

Chapter 7: Sampling Distributions

Chapter 7: Sampling Distributions

CHAPTER 7 Sampling Distributions

CHAPTER 7 Sampling Distributions

Chapter 7: Sampling Distributions

1/10/ Sample Proportions.

Warmup Which of the distributions is an unbiased estimator?

Sample Proportions Section 9.2

Presentation transcript:

Candy Machine

Planning for College State: We want to find the probability that the proportion of middle school students who plan to attend a four-year college or university falls between 73% and 87%. Plan: p(hat)= 0.80. Because the school district is large, we can assume that there are more than 10(125) = 1250 middle school students. We can consider the distribution to be approximately Normal since np = 125(0.80) = 100, which is greater than 10 and n(1 – p) = 125(0.20) = 25, which is greater than 10.

Planning for College Do: normalcdf(0.73, 0.87, 0.80, 0.036) = 0.948. (Note: To get full credit when using normalcdf on an AP exam question, students must explicitly state the mean and standard deviation of the distribution as in the Plan step above.) Conclude: About 95% of all SRSs of size 125 will give a sample proportion within 7 percentage points of the true proportion of middle school students who are planning to attend a four-year college or university.