Chapter 9 & 10. Multiple Choice.
|
|
- Emma Nichols
- 6 years ago
- Views:
Transcription
1 Chapter 9 & 10 Review Name Multiple Choice. 1. An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is X = 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with unknown mean µ and standard deviation σ = 10 bushels. A 90% confidence interval for µ is A) 150 ± B) 150 ± C) 150 ± D) 150 ± E) 150 ± An agricultural researcher plants 25 plots with a new variety of corn. A 90% confidence interval for the average yield for these plots is found to be ± 4.47 bushels per acre. Which of the following would produce a confidence interval with a smaller margin of error than this 90% confidence interval? A) Choosing a sample with a larger standard deviation. B) Planting 100 plots, rather than 25. C) Choosing a sample with a smaller standard deviation. D) Planting only 5 plots, rather than 25. E) None of the above. 3. The heights of young American women are normally distributed with mean µ and standard deviation σ = 2.4 inches. If I want the margin of error for a 99% confidence interval for µ to be ± 1 inch, I should select a simple random sample of size A) 2. B) 7. C) 16. D) 38. E) Researchers are studying the yield of a crop in two locations. The researchers are going to compute independent 90% confidence intervals for the mean yield µ at each location. The probability that at least one of the intervals will cover the true mean yield at its location is A) B) C) D) E) Scores on the Math SAT (SAT-M) are believed to be normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is A) ± D) ± B) ± E) ± C) ±
2 6. A phone-in poll conducted by a newspaper reported that 73% of those who called in liked business tycoon Donald Trump. The number 73% is a A) statistic B) sample C) parameter D) population E) census 7. If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the true value of the parameter being estimated, the statistic is said to be A) random B) biased C) a proportion D) unbiased E) normal 8. The heights (in inches) of males in the United States are believed to be normally distributed with mean µ. The average height of a random sample of 25 American adult males is found to be X = inches, and the standard deviation of the 25 heights is found to be s = 4.15 inches. The standard error of X is A) B) C) D) E) To estimate the mean salary µ of full professors at American colleges and universities, you obtain the salaries of a random sample of 400 full professors. The sample mean is X = $73,220 and the sample standard deviation is s = $4400. A 99% confidence interval for µ is A) 73,220 ± 11,440. B) 73,220 ± 572. C) 73,220 ± D) 73,220 ± 431. E) 73,220 ± The variability of a statistic is described by A) the spread of its sampling distribution B) the amount of bias present C) the vagueness in the wording of the question used to collect the sample data D) the stability of the population it describes 11. A fair coin is tossed 60 times. The probability that less than 1/3 of the tosses are heads is A) 0.33 B) C) 0.09 D) E) A random sample X has mean µ x and standard deviation! x. Suppose n independent observations of X are taken and the average x of these n observations is computed. We can assert that if n is large, the sampling distribution of x is approximately normal. This assertion follows from A) the law of large numbers B) the CLT (central limit theorem) C) the definition of sampling distribution D) the bell curve
3 A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 620 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state that would vote for the Republican candidate. 13. Referring to the information above, a 90% confidence interval for p is A) ± B) ± C) ± D) ± E) ± Referring to the information above, what sample size would you need in order to estimate p with margin of error 0.01 with 95% confidence? Use the guess p = 0.5 as the value for p. A) 49. B) C) D) E) The college newspaper of a large Midwestern university periodically conducts a survey of students on campus to determine the attitude on campus concerning issues of interest. Pictures of the students interviewed, along with quotes of their responses, are printed in the paper. Students are interviewed by a reporter roaming the campus who selects students to interview haphazardly. On a particular day the reporter interviews five students and asks them if they feel there is adequate student parking on campus. Four of the students say no. The sample proportion ˆp that respond no is thus Referring to the information above, the standard error of ˆp is A) 0.8. B) C) 0.4. D) E) Referring to the information above, which of the following assumptions for inference about a proportion using a confidence interval are violated in this example? A) n is so large that both ˆ np and n(1 - ˆp ) are at least 10. B) The population is at least 10 times as large as the sample. C) We are interested in inference about a proportion. D) The data are an SRS from the population of interest. E) There appear to be no violations. 17. A sociologist is studying the effect of having children within the first two years of marriage on the divorce rate. Using hospital birth records, she selects a random sample of 200 couples that had a child within the first two years of marriage. Following up on these couples, she finds that 80 are divorced within five years. A 90% confidence interval for the proportion p of all couples that had a child within the first two years of marriage and are divorced within five years is A) 0.40 ± B) 0.40 ± C) 0.40 ± D) 0.40 ± E) 0.40 ±
4 18. Suppose the manufacturer of official NFL footballs uses a machine to inflate the new balls to a pressure of 13.5 lbs. When the machine is properly calibrated, the mean inflation pressure is 13.5 lbs, but uncontrollable factors cause pressures of individual footballs to vary randomly from about 13.3 to 13.7 lbs, with " = 0.1. For quality control purposes, the manufacturer wishes to estimate the mean inflation pressure to within pounds of its true value with a 99% confidence interval. What sample size should be specified for the experiment? 19. According to the June 1994 issue of Bicycling, only 16% of all bicyclists own helmets. You wish to conduct a survey in Newton to determine what percent of the bicyclists own helmets. Find the necessary sample size if you want your estimate to be within 0.02 with 90% confidence. Use.16 as your estimate for p.
5 Answers: 1. B 2. B 3. E 4. E 5. A 6. A 7. D 8. D 9. B 10. A 11. D 12. B 13. C 14. E 15. D 16. A 17. D 18. n = n = 910
8.1 Estimation of the Mean and Proportion
8.1 Estimation of the Mean and Proportion Statistical inference enables us to make judgments about a population on the basis of sample information. The mean, standard deviation, and proportions of a population
More informationSampling Distributions
AP Statistics Ch. 7 Notes Sampling Distributions A major field of statistics is statistical inference, which is using information from a sample to draw conclusions about a wider population. Parameter:
More informationAMS7: WEEK 4. CLASS 3
AMS7: WEEK 4. CLASS 3 Sampling distributions and estimators. Central Limit Theorem Normal Approximation to the Binomial Distribution Friday April 24th, 2015 Sampling distributions and estimators REMEMBER:
More informationChapter 7 Study Guide: The Central Limit Theorem
Chapter 7 Study Guide: The Central Limit Theorem Introduction Why are we so concerned with means? Two reasons are that they give us a middle ground for comparison and they are easy to calculate. In this
More informationDetermining Sample Size. Slide 1 ˆ ˆ. p q n E = z α / 2. (solve for n by algebra) n = E 2
Determining Sample Size Slide 1 E = z α / 2 ˆ ˆ p q n (solve for n by algebra) n = ( zα α / 2) 2 p ˆ qˆ E 2 Sample Size for Estimating Proportion p When an estimate of ˆp is known: Slide 2 n = ˆ ˆ ( )
More informationand µ Asian male > " men
A.P. Statistics Sampling Distributions and the Central Limit Theorem Definitions A parameter is a number that describes the population. A parameter always exists but in practice we rarely know its value
More informationSampling Distributions Chapter 18
Sampling Distributions Chapter 18 Parameter vs Statistic Example: Identify the population, the parameter, the sample, and the statistic in the given settings. a) The Gallup Poll asked a random sample of
More informationName PID Section # (enrolled)
STT 315 - Lecture 3 Instructor: Aylin ALIN 04/02/2014 Midterm # 2 A Name PID Section # (enrolled) * The exam is closed book and 80 minutes. * You may use a calculator and the formula sheet that you brought
More informationMATH 264 Problem Homework I
MATH Problem Homework I Due to December 9, 00@:0 PROBLEMS & SOLUTIONS. A student answers a multiple-choice examination question that offers four possible answers. Suppose that the probability that the
More informationI. Standard Error II. Standard Error III. Standard Error 2.54
1) Original Population: Match the standard error (I, II, or III) with the correct sampling distribution (A, B, or C) and the correct sample size (1, 5, or 10) I. Standard Error 1.03 II. Standard Error
More informationSTAT 1220 FALL 2010 Common Final Exam December 10, 2010
STAT 1220 FALL 2010 Common Final Exam December 10, 2010 PLEASE PRINT THE FOLLOWING INFORMATION: Name: Instructor: Student ID #: Section/Time: THIS EXAM HAS TWO PARTS. PART I. Part I consists of 30 multiple
More informationChapter 7: Sampling Distributions Chapter 7: Sampling Distributions
Chapter 7: Sampling Distributions Objectives: Students will: Define a sampling distribution. Contrast bias and variability. Describe the sampling distribution of a proportion (shape, center, and spread).
More informationFINAL REVIEW W/ANSWERS
FINAL REVIEW W/ANSWERS ( 03/15/08 - Sharon Coates) Concepts to review before answering the questions: A population consists of the entire group of people or objects of interest to an investigator, while
More informationPreviously, when making inferences about the population mean, μ, we were assuming the following simple conditions:
Chapter 17 Inference about a Population Mean Conditions for inference Previously, when making inferences about the population mean, μ, we were assuming the following simple conditions: (1) Our data (observations)
More informationNORMAL RANDOM VARIABLES (Normal or gaussian distribution)
NORMAL RANDOM VARIABLES (Normal or gaussian distribution) Many variables, as pregnancy lengths, foot sizes etc.. exhibit a normal distribution. The shape of the distribution is a symmetric bell shape.
More informationLecture 7 Random Variables
Lecture 7 Random Variables Definition: A random variable is a variable whose value is a numerical outcome of a random phenomenon, so its values are determined by chance. We shall use letters such as X
More informationMidterm Exam III Review
Midterm Exam III Review Dr. Joseph Brennan Math 148, BU Dr. Joseph Brennan (Math 148, BU) Midterm Exam III Review 1 / 25 Permutations and Combinations ORDER In order to count the number of possible ways
More informationThe binomial distribution p314
The binomial distribution p314 Example: A biased coin (P(H) = p = 0.6) ) is tossed 5 times. Let X be the number of H s. Fine P(X = 2). This X is a binomial r. v. The binomial setting p314 1. There are
More informationConfidence Intervals: Review
University of Utah February 28, 2018 1 2 Law of Large Numbers Draw your samples from any population with finite mean µ. Then LLN says Law of Large Numbers Draw your samples from any population with finite
More informationECO220Y Estimation: Confidence Interval Estimator for Sample Proportions Readings: Chapter 11 (skip 11.5)
ECO220Y Estimation: Confidence Interval Estimator for Sample Proportions Readings: Chapter 11 (skip 11.5) Fall 2011 Lecture 10 (Fall 2011) Estimation Lecture 10 1 / 23 Review: Sampling Distributions Sample
More informationHomework: Due Wed, Feb 20 th. Chapter 8, # 60a + 62a (count together as 1), 74, 82
Announcements: Week 5 quiz begins at 4pm today and ends at 3pm on Wed If you take more than 20 minutes to complete your quiz, you will only receive partial credit. (It doesn t cut you off.) Today: Sections
More informationLecture 9. Probability Distributions. Outline. Outline
Outline Lecture 9 Probability Distributions 6-1 Introduction 6- Probability Distributions 6-3 Mean, Variance, and Expectation 6-4 The Binomial Distribution Outline 7- Properties of the Normal Distribution
More informationThe "bell-shaped" curve, or normal curve, is a probability distribution that describes many real-life situations.
6.1 6.2 The Standard Normal Curve The "bell-shaped" curve, or normal curve, is a probability distribution that describes many real-life situations. Basic Properties 1. The total area under the curve is.
More informationCentral Limit Theorem (cont d) 7/28/2006
Central Limit Theorem (cont d) 7/28/2006 Central Limit Theorem for Binomial Distributions Theorem. For the binomial distribution b(n, p, j) we have lim npq b(n, p, np + x npq ) = φ(x), n where φ(x) is
More informationChapter 5. Sampling Distributions
Lecture notes, Lang Wu, UBC 1 Chapter 5. Sampling Distributions 5.1. Introduction In statistical inference, we attempt to estimate an unknown population characteristic, such as the population mean, µ,
More informationMA131 Lecture 8.2. The normal distribution curve can be considered as a probability distribution curve for normally distributed variables.
Normal distribution curve as probability distribution curve The normal distribution curve can be considered as a probability distribution curve for normally distributed variables. The area under the normal
More informationMath 140 Introductory Statistics. Next midterm May 1
Math 140 Introductory Statistics Next midterm May 1 8.1 Confidence intervals 54% of Americans approve the job the president is doing with a margin error of 3% 55% of 18-29 year olds consider themselves
More informationSurvey Sampling, Fall, 2006, Columbia University Homework assignments (2 Sept 2006)
Survey Sampling, Fall, 2006, Columbia University Homework assignments (2 Sept 2006) Assignment 1, due lecture 3 at the beginning of class 1. Lohr 1.1 2. Lohr 1.2 3. Lohr 1.3 4. Download data from the CBS
More informationExample - Let X be the number of boys in a 4 child family. Find the probability distribution table:
Chapter8 Probability Distributions and Statistics Section 8.1 Distributions of Random Variables tthe value of the result of the probability experiment is a RANDOM VARIABLE. Example - Let X be the number
More information*****CENTRAL LIMIT THEOREM (CLT)*****
Sampling Distributions and CLT Day 5 *****CENTRAL LIMIT THEOREM (CLT)***** (One of the MOST important theorems in Statistics - KNOW AND UNDERSTAND THIS!!!!!!) Draw an SRS of size n from ANY population
More informationLecture 9. Probability Distributions
Lecture 9 Probability Distributions Outline 6-1 Introduction 6-2 Probability Distributions 6-3 Mean, Variance, and Expectation 6-4 The Binomial Distribution Outline 7-2 Properties of the Normal Distribution
More informationSTAT Chapter 7: Confidence Intervals
STAT 515 -- Chapter 7: Confidence Intervals With a point estimate, we used a single number to estimate a parameter. We can also use a set of numbers to serve as reasonable estimates for the parameter.
More informationMATH 3200 Exam 3 Dr. Syring
. Suppose n eligible voters are polled (randomly sampled) from a population of size N. The poll asks voters whether they support or do not support increasing local taxes to fund public parks. Let M be
More informationwork to get full credit.
Chapter 18 Review Name Date Period Write complete answers, using complete sentences where necessary.show your work to get full credit. MULTIPLE CHOICE. Choose the one alternative that best completes the
More informationChapter 9 Chapter Friday, June 4 th
Chapter 9 Chapter 10 Sections 9.1 9.5 and 10.1 10.5 Friday, June 4 th Parameter and Statisticti ti Parameter is a number that is a summary characteristic of a population Statistic, is a number that is
More informationDensity curves. (James Madison University) February 4, / 20
Density curves Figure 6.2 p 230. A density curve is always on or above the horizontal axis, and has area exactly 1 underneath it. A density curve describes the overall pattern of a distribution. Example
More informationLecture 6: Confidence Intervals
Lecture 6: Confidence Intervals Taeyong Park Washington University in St. Louis February 22, 2017 Park (Wash U.) U25 PS323 Intro to Quantitative Methods February 22, 2017 1 / 29 Today... Review of sampling
More informationVersion A. Problem 1. Let X be the continuous random variable defined by the following pdf: 1 x/2 when 0 x 2, f(x) = 0 otherwise.
Math 224 Q Exam 3A Fall 217 Tues Dec 12 Version A Problem 1. Let X be the continuous random variable defined by the following pdf: { 1 x/2 when x 2, f(x) otherwise. (a) Compute the mean µ E[X]. E[X] x
More informationProbability & Sampling The Practice of Statistics 4e Mostly Chpts 5 7
Probability & Sampling The Practice of Statistics 4e Mostly Chpts 5 7 Lew Davidson (Dr.D.) Mallard Creek High School Lewis.Davidson@cms.k12.nc.us 704-786-0470 Probability & Sampling The Practice of Statistics
More information1. State Sales Tax. 2. Baggage Check
1. State Sales Tax A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6% with the additional revenue going to education. If 40% of all adults
More informationMath 227 (Statistics) Chapter 6 Practice Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 227 (Statistics) Chapter 6 Practice Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Using the following uniform density curve, answer the
More informationCHAPTER 6 Random Variables
CHAPTER 6 Random Variables 6.1 Discrete and Continuous Random Variables The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers Discrete and Continuous Random
More informationExample - Let X be the number of boys in a 4 child family. Find the probability distribution table:
Chapter7 Probability Distributions and Statistics Distributions of Random Variables tthe value of the result of the probability experiment is a RANDOM VARIABLE. Example - Let X be the number of boys in
More informationAP STATISTICS Name: Period: Review Unit VI Probability Models and Sampling Distributions
AP STATISTICS Name: Period: Review Unit VI Probability Models and Sampling Distributions Show all work and reasoning. 1. Professional football players in the NFL have a distribution of salaries that is
More informationHOMEWORK: Due Mon 11/8, Chapter 9: #15, 25, 37, 44
This week: Chapter 9 (will do 9.6 to 9.8 later, with Chap. 11) Understanding Sampling Distributions: Statistics as Random Variables ANNOUNCEMENTS: Shandong Min will give the lecture on Friday. See website
More information1 Sampling Distributions
1 Sampling Distributions 1.1 Statistics and Sampling Distributions When a random sample is selected the numerical descriptive measures calculated from such a sample are called statistics. These statistics
More informationThe Central Limit Theorem. Sec. 8.2: The Random Variable. it s Distribution. it s Distribution
The Central Limit Theorem Sec. 8.1: The Random Variable it s Distribution Sec. 8.2: The Random Variable it s Distribution X p and and How Should You Think of a Random Variable? Imagine a bag with numbers
More informationMA131 Lecture 9.1. = µ = 25 and σ X P ( 90 < X < 100 ) = = /// σ X
The Central Limit Theorem (CLT): As the sample size n increases, the shape of the distribution of the sample means taken with replacement from the population with mean µ and standard deviation σ will approach
More informationHomework: Due Wed, Nov 3 rd Chapter 8, # 48a, 55c and 56 (count as 1), 67a
Homework: Due Wed, Nov 3 rd Chapter 8, # 48a, 55c and 56 (count as 1), 67a Announcements: There are some office hour changes for Nov 5, 8, 9 on website Week 5 quiz begins after class today and ends at
More informationName: Period: Date: 1. Suppose we are interested in the average weight of chickens in America.
Name: Period: Date: Statistics Review MM4D1. Using simulation, students will develop the idea of the central limit theorem. MM4D2. Using student-generated data from random samples of at least 30 members,
More informationLecture 3. Sampling distributions. Counts, Proportions, and sample mean.
Lecture 3 Sampling distributions. Counts, Proportions, and sample mean. Statistical Inference: Uses data and summary statistics (mean, variances, proportions, slopes) to draw conclusions about a population
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Ch. 8 Sampling Distributions 8.1 Distribution of the Sample Mean 1 Describe the distribution of the sample mean: normal population. MULTIPLE CHOICE. Choose the one alternative that best completes the statement
More informationCHAPTER 5 SAMPLING DISTRIBUTIONS
CHAPTER 5 SAMPLING DISTRIBUTIONS Sampling Variability. We will visualize our data as a random sample from the population with unknown parameter μ. Our sample mean Ȳ is intended to estimate population mean
More informationChapter 7 Sampling Distributions and Point Estimation of Parameters
Chapter 7 Sampling Distributions and Point Estimation of Parameters Part 1: Sampling Distributions, the Central Limit Theorem, Point Estimation & Estimators Sections 7-1 to 7-2 1 / 25 Statistical Inferences
More informationSTOR 155 Introductory Statistics (Chap 5) Lecture 14: Sampling Distributions for Counts and Proportions
The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL STOR 155 Introductory Statistics (Chap 5) Lecture 14: Sampling Distributions for Counts and Proportions 5/31/11 Lecture 14 1 Statistic & Its Sampling Distribution
More information1. [10 points] For a standard normal distribution. Find the indicated probability. For each case, draw a sketch. (a). (3 points) P( z < 152.
Spring 2007 Math 227 Test #3 Name: Show all necessary work NEATLY, UNDERSTANDABLY and SYSTEMATICALLY for full points. Any understatement and/or false statement may be penalized. This is a closed book,
More informationSAMPLING DISTRIBUTIONS. Chapter 7
SAMPLING DISTRIBUTIONS Chapter 7 7.1 How Likely Are the Possible Values of a Statistic? The Sampling Distribution Statistic and Parameter Statistic numerical summary of sample data: p-hat or xbar Parameter
More informationLecture 6: Chapter 6
Lecture 6: Chapter 6 C C Moxley UAB Mathematics 3 October 16 6.1 Continuous Probability Distributions Last week, we discussed the binomial probability distribution, which was discrete. 6.1 Continuous Probability
More informationBIOL The Normal Distribution and the Central Limit Theorem
BIOL 300 - The Normal Distribution and the Central Limit Theorem In the first week of the course, we introduced a few measures of center and spread, and discussed how the mean and standard deviation are
More informationPart V - Chance Variability
Part V - Chance Variability Dr. Joseph Brennan Math 148, BU Dr. Joseph Brennan (Math 148, BU) Part V - Chance Variability 1 / 78 Law of Averages In Chapter 13 we discussed the Kerrich coin-tossing experiment.
More informationChapter 7. Sampling Distributions
Chapter 7 Sampling Distributions Section 7.1 Sampling Distributions and the Central Limit Theorem Sampling Distributions Sampling distribution The probability distribution of a sample statistic. Formed
More informationFinal/Exam #3 Form B - Statistics 211 (Fall 1999)
Final/Exam #3 Form B - Statistics 211 (Fall 1999) This test consists of nine numbered pages. Make sure you have all 9 pages. It is your responsibility to inform me if a page is missing!!! You have at least
More informationThe Mathematics of Normality
MATH 110 Week 9 Chapter 17 Worksheet The Mathematics of Normality NAME Normal (bell-shaped) distributions play an important role in the world of statistics. One reason the normal distribution is important
More informationExample. Chapter 8 Probability Distributions and Statistics Section 8.1 Distributions of Random Variables
Chapter 8 Probability Distributions and Statistics Section 8.1 Distributions of Random Variables You are dealt a hand of 5 cards. Find the probability distribution table for the number of hearts. Graph
More informationNo, because np = 100(0.02) = 2. The value of np must be greater than or equal to 5 to use the normal approximation.
1) If n 100 and p 0.02 in a binomial experiment, does this satisfy the rule for a normal approximation? Why or why not? No, because np 100(0.02) 2. The value of np must be greater than or equal to 5 to
More informationNormal distribution. We say that a random variable X follows the normal distribution if the probability density function of X is given by
Normal distribution The normal distribution is the most important distribution. It describes well the distribution of random variables that arise in practice, such as the heights or weights of people,
More informationAP Statistics Section 6.1 Day 1 Multiple Choice Practice. a) a random variable. b) a parameter. c) biased. d) a random sample. e) a statistic.
A Statistics Section 6.1 Day 1 ultiple Choice ractice Name: 1. A variable whose value is a numerical outcome of a random phenomenon is called a) a random variable. b) a parameter. c) biased. d) a random
More information5.1 Mean, Median, & Mode
5.1 Mean, Median, & Mode definitions Mean: Median: Mode: Example 1 The Blue Jays score these amounts of runs in their last 9 games: 4, 7, 2, 4, 10, 5, 6, 7, 7 Find the mean, median, and mode: Example 2
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Chapter 6 Exam A Name The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability. 1) The probability of
More informationChapter 7. Confidence Intervals and Sample Sizes. Definition. Definition. Definition. Definition. Confidence Interval : CI. Point Estimate.
Chapter 7 Confidence Intervals and Sample Sizes 7. Estimating a Proportion p 7.3 Estimating a Mean µ (σ known) 7.4 Estimating a Mean µ (σ unknown) 7.5 Estimating a Standard Deviation σ In a recent poll,
More informationSection 7-2 Estimating a Population Proportion
Section 7- Estimating a Population Proportion 1 Key Concept In this section we present methods for using a sample proportion to estimate the value of a population proportion. The sample proportion is the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Ch. 9 Estimating the Value of a Parameter 9.1 Estimating a Population Proportion 1 Obtain a point estimate for the population proportion. 1) When 390 junior college students were surveyed,115 said that
More informationData Analysis and Statistical Methods Statistics 651
Review of previous lecture: Why confidence intervals? Data Analysis and Statistical Methods Statistics 651 http://www.stat.tamu.edu/~suhasini/teaching.html Suhasini Subba Rao Suppose you want to know the
More informationChapter 8 Estimation
Chapter 8 Estimation There are two important forms of statistical inference: estimation (Confidence Intervals) Hypothesis Testing Statistical Inference drawing conclusions about populations based on samples
More information1. (9; 3ea) The table lists the survey results of 100 non-senior students. Math major Art major Biology major
Math 54 Test #2(Chapter 4, 5, 6, 7) Name: Show all necessary work for full credit. You may use graphing calculators for your calculation, but you must show all detail and use the proper notations. Total
More informationChapter 7 presents the beginning of inferential statistics. The two major activities of inferential statistics are
Chapter 7 presents the beginning of inferential statistics. Concept: Inferential Statistics The two major activities of inferential statistics are 1 to use sample data to estimate values of population
More information7. For the table that follows, answer the following questions: x y 1-1/4 2-1/2 3-3/4 4
7. For the table that follows, answer the following questions: x y 1-1/4 2-1/2 3-3/4 4 - Would the correlation between x and y in the table above be positive or negative? The correlation is negative. -
More informationChapter Seven. The Normal Distribution
Chapter Seven The Normal Distribution 7-1 Introduction Many continuous variables have distributions that are bellshaped and are called approximately normally distributed variables, such as the heights
More informationAP Statistics: Chapter 8, lesson 2: Estimating a population proportion
Activity 1: Which way will the Hershey s kiss land? When you toss a Hershey Kiss, it sometimes lands flat and sometimes lands on its side. What proportion of tosses will land flat? Each group of four selects
More informationElementary Statistics Lecture 5
Elementary Statistics Lecture 5 Sampling Distributions Chong Ma Department of Statistics University of South Carolina Chong Ma (Statistics, USC) STAT 201 Elementary Statistics 1 / 24 Outline 1 Introduction
More informationChapter 6 Probability
Chapter 6 Probability Learning Objectives 1. Simulate simple experiments and compute empirical probabilities. 2. Compute both theoretical and empirical probabilities. 3. Apply the rules of probability
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A population has a standard deviation σ = 20.2. How large a sample must be drawn so that
More informationUniversity of California, Los Angeles Department of Statistics. Normal distribution
University of California, Los Angeles Department of Statistics Statistics 110A Instructor: Nicolas Christou Normal distribution The normal distribution is the most important distribution. It describes
More informationFall 2011 Exam Score: /75. Exam 3
Math 12 Fall 2011 Name Exam Score: /75 Total Class Percent to Date Exam 3 For problems 1-10, circle the letter next to the response that best answers the question or completes the sentence. You do not
More informationChapter 4: Commonly Used Distributions. Statistics for Engineers and Scientists Fourth Edition William Navidi
Chapter 4: Commonly Used Distributions Statistics for Engineers and Scientists Fourth Edition William Navidi 2014 by Education. This is proprietary material solely for authorized instructor use. Not authorized
More informationModule 4: Probability
Module 4: Probability 1 / 22 Probability concepts in statistical inference Probability is a way of quantifying uncertainty associated with random events and is the basis for statistical inference. Inference
More informationStatistics and Probability
Statistics and Probability Continuous RVs (Normal); Confidence Intervals Outline Continuous random variables Normal distribution CLT Point estimation Confidence intervals http://www.isrec.isb-sib.ch/~darlene/geneve/
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. ) During which week was the most number of tickets sold? ) A) Week B) Week C) Week 5
More informationECON 214 Elements of Statistics for Economists 2016/2017
ECON 214 Elements of Statistics for Economists 2016/2017 Topic The Normal Distribution Lecturer: Dr. Bernardin Senadza, Dept. of Economics bsenadza@ug.edu.gh College of Education School of Continuing and
More informationSampling and sampling distribution
Sampling and sampling distribution September 12, 2017 STAT 101 Class 5 Slide 1 Outline of Topics 1 Sampling 2 Sampling distribution of a mean 3 Sampling distribution of a proportion STAT 101 Class 5 Slide
More informationLECTURE 6 DISTRIBUTIONS
LECTURE 6 DISTRIBUTIONS OVERVIEW Uniform Distribution Normal Distribution Random Variables Continuous Distributions MOST OF THE SLIDES ADOPTED FROM OPENINTRO STATS BOOK. NORMAL DISTRIBUTION Unimodal and
More informationMath 120 Introduction to Statistics Mr. Toner s Lecture Notes. Standardizing normal distributions The Standard Normal Curve
6.1 6.2 The Standard Normal Curve Standardizing normal distributions The "bell-shaped" curve, or normal curve, is a probability distribution that describes many reallife situations. Basic Properties 1.
More informationMEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF MATHEMATICS AND STATISTICS MIDTERM EXAM - STATISTICS FALL 2014, SECTION 005
MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF MATHEMATICS AND STATISTICS MIDTERM EXAM - STATISTICS 2550 - FALL 2014, SECTION 005 Instructor: A. Oyet Date: October 16, 2014 Name(Surname First): Student
More informationSection 6.5. The Central Limit Theorem
Section 6.5 The Central Limit Theorem Idea Will allow us to combine the theory from 6.4 (sampling distribution idea) with our central limit theorem and that will allow us the do hypothesis testing in the
More information22.2 Shape, Center, and Spread
Name Class Date 22.2 Shape, Center, and Spread Essential Question: Which measures of center and spread are appropriate for a normal distribution, and which are appropriate for a skewed distribution? Eplore
More informationMaking Sense of Cents
Name: Date: Making Sense of Cents Exploring the Central Limit Theorem Many of the variables that you have studied so far in this class have had a normal distribution. You have used a table of the normal
More informationStatistics for Business and Economics: Random Variables:Continuous
Statistics for Business and Economics: Random Variables:Continuous STT 315: Section 107 Acknowledgement: I d like to thank Dr. Ashoke Sinha for allowing me to use and edit the slides. Murray Bourne (interactive
More informationA random variable (r. v.) is a variable whose value is a numerical outcome of a random phenomenon.
Chapter 14: random variables p394 A random variable (r. v.) is a variable whose value is a numerical outcome of a random phenomenon. Consider the experiment of tossing a coin. Define a random variable
More informationWhat percent of people make less than $25000?
` Problem of the Day The mean income for a 23 33 year old in the State of Illinois is around $39000 with a standard deviation $4670. (Assume incomes are normally distributed) What percent of people make
More information4.2 Bernoulli Trials and Binomial Distributions
Arkansas Tech University MATH 3513: Applied Statistics I Dr. Marcel B. Finan 4.2 Bernoulli Trials and Binomial Distributions A Bernoulli trial 1 is an experiment with exactly two outcomes: Success and
More information