Statistical Reasoning for Everyday Life, Books a la Carte Edition, Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134668390
Author: Jeffrey O. Bennett, William L. Briggs, Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 8.2, Problem 15E
Margins of Error and Confidence Intervals. For Exercises 13–16, assume that population means are to be estimated from the samples described. In each case, use the sample results to approximate the margin of error and 95% confidence interval.
15. n = 36,
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A confidence interval for a population mean has a margin of error of 3.3. If the sample mean is 58.6, obtain the confidence interval?
A statistics practitioner took a random sample of 44 observations from a population whose standard deviation is 27 and computed the sample mean to be 105.
Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits.
A. Estimate the population mean with 95% confidence.
Confidence Interval =
B. Estimate the population mean with 95% confidence, changing the population standard deviation to 47;
Confidence Interval =
C. Estimate the population mean with 95% confidence, changing the population standard deviation to 8;
Confidence Interval =
SAT scores are distributed with a mean of 1,500 and a standard devieation of 287. You are interested in estimation the average SAT score of first year students at your college. If you would like to limit the margin of error of your confidence interval to 40 points with 85 percent confidence, how many students should you sample? (round to a whole number of students).
Chapter 8 Solutions
Statistical Reasoning for Everyday Life, Books a la Carte Edition, Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Ch. 8.1 - Sampling Distribution. Distinguish between a...Ch. 8.1 - Sampling Error. What is a sampling error? How does...Ch. 8.1 - Sample Means and Proportions. What is a sample...Ch. 8.1 - Sample Size. How does the sample size affect how...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Does It Make Sense? For Exercises 58, determine...Ch. 8.1 - Notation. In Exercises 912, identify the notation...Ch. 8.1 - Notation. In Exercises 912, identify the notation...
Ch. 8.1 - Prob. 11ECh. 8.1 - Notation. In Exercises 912, identify the notation...Ch. 8.1 - Prob. 13ECh. 8.1 - Estimating Population Means. When 50 adult females...Ch. 8.1 - Distribution of Sample Means. Assume that cans of...Ch. 8.1 - Distribution of Sample Means. Assume that the...Ch. 8.1 - Sample and Population Proportions. A population...Ch. 8.1 - Sample and Population Proportions. The College of...Ch. 8.1 - Sampling Distribution. A quarterback threw 1...Ch. 8.1 - Sampling Distributions. The ages (in years) of the...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Means. In Exercises 2124,...Ch. 8.1 - Distributions of Sample Proportions. In Exercises...Ch. 8.1 - Distributions of Sample Proportions. In Exercises...Ch. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.2 - Statistical Literacy and Critical Thinking...Ch. 8.2 - Margin of Error and Confidence Interval. If you...Ch. 8.2 - 95% Confidence Interval. Once you have constructed...Ch. 8.2 - Sample Size. Suppose you seek a particular margin...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Does It Make Sense? For Exercises 58, determine...Ch. 8.2 - Concepts and Applications Confidence Interval. One...Ch. 8.2 - Margin of Error. Based on a random sample of 48...Ch. 8.2 - Prob. 11ECh. 8.2 - Sample Size. The National Health Examination...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Margins of Error and Confidence Intervals. For...Ch. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - Prob. 19ECh. 8.2 - Sample Sizes. In Exercises 1720, assume that you...Ch. 8.2 - 21. Sample Size for TV Survey. Nielsen Media...Ch. 8.2 - Sample Size for Housing Prices. A government...Ch. 8.2 - Sample Size for Mean IQ Score of Californians. The...Ch. 8.2 - Sample Size for Estimating Income. An economist...Ch. 8.2 - Weight of Quarters. You want to estimate the mean...Ch. 8.2 - Weights of Babies. A sample of 100 babies born at...Ch. 8.2 - Time to Graduation. Data from the National Center...Ch. 8.2 - Garbage Production. Based on a sample of 62...Ch. 8.2 - Weights of Bears. The health of the bear...Ch. 8.2 - Cotinine Levels of Smokers. When people smoke, the...Ch. 8.2 - Chocolate Chips. One of the authors of this text...Ch. 8.2 - Prob. 32ECh. 8.3 - Estimating a Population Proportion. Suppose you...Ch. 8.3 - Margin of Error and Confidence Interval. If you...Ch. 8.3 - 95% Confidence Interval. Once you have constructed...Ch. 8.3 - Sample Size. How can you determine an appropriate...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Does It Make Sense? For Exercises 58, determine...Ch. 8.3 - Confidence Interval. The Journal of the American...Ch. 8.3 - Margin of Error. In a study of 1228 randomly...Ch. 8.3 - Confidence Intervals in the Media. Here is a...Ch. 8.3 - Notation. In a Pew Research Center poll, 73% of...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Margins of Error and Confidence Intervals. In...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Sample Size. In Exercises 1720, assume that you...Ch. 8.3 - Nielsen Ratings. Nielsen Media Research uses...Ch. 8.3 - Prob. 22ECh. 8.3 - Hazing of Athletes. A study done by researchers at...Ch. 8.3 - McDonalds Orders. In a study of the accuracy of...Ch. 8.3 - Prob. 25ECh. 8.3 - Global Warming. A Pew Research Center poll...Ch. 8.3 - Drugs in Movies. A study by Stanford University...Ch. 8.3 - Eliquis. The drug Eliquis is used to help prevent...Ch. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Opinion Poll. A poll finds that 54% of the...Ch. 8.3 - Concealed Weapons. Two-thirds (or 66.6%) of 626...Ch. 8 - One of Mendels famous genetics experiments yielded...Ch. 8 - We want to estimate the mean IQ score for the...Ch. 8 - Prob. 3CRECh. 8 - Prob. 4CRECh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Assume that we want to estimate the mean annual...Ch. 8 - A random sample of 235 females and 240 males is...Ch. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - History Where Did Statistics Begin? The origins of...Ch. 8 - Prob. 2.1F
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The mean and standard deviation of a population are 555 and 40, respectively. a. For a sample size of 50, calculate the mean and standard deviation of the mean of the samples.b. Figure out how likely it is that the mean of a sample size of 50 will be more than 570.arrow_forwardUse the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of (3.0,3.6) when estimating the mean height (in centimeters) of a sample of seedlings.arrow_forwardUsing the empirical rule to solve a mean of 2.9 and a standard deviation of .6 what percent of students at the college have a GPA between 2.3 and 3.5arrow_forward
- Determine the minimum sample size needed if we want to estimate the population percent of students who LOVE statistics. We want the estimate to be within 5% of the true proportion, with 99% confidence. Assume a previous study estimated that percent to be twenty percent.arrow_forwardA normally distributed population has a mean 40. A sample of size 35 is taken and has a sample mean of 39 and a standard deviation of three. Solve for the probability of taking a sample that has a mean less than 39. Show your work and explain all the steps used to solvearrow_forwardA variable of two populations has a mean of 40 and a standard deviation of 12 for one of the populations and a mean of 40 and a standard deviation of 6 for the other population. a. For independent samples of sizes 9 and 4, respectively, find the mean and standard deviation of x1 - x2.b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Explain your answer.c. Can you conclude that the variable x1 - x2 is normally distributed? Explain your answer.arrow_forward
- you want to obtain a sample to estimate a population mean. based on previous evidence, you believe the population standard deviation is approximately 38%. you would like to be 99% confident that your estimate is with 3 of the true population mean. How large of a sample size is required?arrow_forwardA variable of two populations has a mean of 7.9 and a standard deviation of 5.4 for one of the populations and a mean of 7.1 and a standard deviation of 4.6 for the other population. Moreover, the variable is normally distributed on each of the two populations. a. For independent samples of sizes 3 and 6, respectively, determine the mean and standard deviation of x1 - x2.b. Can you conclude that the variable x1 - x2 is normally distributed? Explain your answer.c. Determine the percentage of all pairs of independent samples of sizes 4 and 16, respectively, from the two populations with the property that the difference x1 - x2 between the sample means is between -3 and 4.arrow_forwardThe population distribution is normally distributed and has a mean of 13.6 and a standard deviation of 3.0. These values are unknown to a researcher who samples individuals to estimate a mean. Suppose she takes a random sample of 23 individuals. What is the sampling distribution? Find the 95% confidence interval for the mean. Suppose that they found a sample with a mean number given by y¯ = 15. Is this unusual?arrow_forward
- Scores on an English test from 30 students in Class One has a mean of 33 and a standard deviation of 7.2. Scores on an English test from 40 students in Class Two has a mean of 39 and a standard deviation of 5.5. Assuming the two classes are independent, construct a 90%confidence interval for difference between the mean scores for Class One and Class Two. Round your answer to 3 decimal places. Base on the confidence interval, what conclusion can you draw? Group of answer choices (-8.530,-3.470) Group 2 is bigger (-8.530,-3.470) Group 1 is bigger (-8.639,-3.361) No conclusion (-8.639,-3.361) Group 2 is bigger (-6.769,-5.231) Group 2 is biggerarrow_forwardou are tasked with finding a 95% confidence interval for a population mean. You do not know the standard deviation of the population, nor do you know its distribution. Your sample size is 23, and you have found the sample mean and sample standard deviation. Which of the following equations for the interval estimate endpoints should you use to find the confidence interval?arrow_forwardIn this exercise, you will compare Chebyshev’s rule and the empirical rule. a. Compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean. Comment on the differences.b. Compare the estimates given by the two rules for the percentage of observations that lie within three standard deviations to either side of the mean. Comment on the differences.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License