Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 8.3, Problem 127E
a.
To determine
To construct: The 99% confidence interval for the population mean.
b.
To determine
To find: The margin of error using the confidence interval.
c.
To determine
To find: The margin of error using the usual formula.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In each of Exercises, we provide a sample mean, sample size, sample standard deviation, and confidence level. In each exercise,
a.use the one-mean t-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.b.obtain the margin of error by taking half the length of the confidence interval.c.obtain the margin of error by using the formula ta/2•s/vn.
x = 20, n = 36, s = 3, condence level = 95%
In each of Exercises, we provide a sample mean, sample size, sample standard deviation, and confidence level. In each exercise,
a.use the one-mean t-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.b.obtain the margin of error by taking half the length of the confidence interval.c.obtain the margin of error by using the formula ta/2•s/vn.
x = 30, n = 25, s = 4, confidence level = 90%
b) Find the critical value of t for a
90%
confidence interval with
df=58.
Chapter 8 Solutions
Introductory Statistics (10th Edition)
Ch. 8.1 - The value of a statistic used to estimate a...Ch. 8.1 - What is a confidence-interval estimate of a...Ch. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Suppose that you lake 500 simple random samples...Ch. 8.1 - Prob. 7ECh. 8.1 - A simple random sample is taken from a population...Ch. 8.1 - Refer to Exercise 8.7 and find a point estimate...Ch. 8.1 - Prob. 10E
Ch. 8.1 - In each of Exercises 8.118.16, we provide a sample...Ch. 8.1 - Prob. 12ECh. 8.1 - In each of Exercises 8.118.16, we provide a sample...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Wedding Costs. According to Brides Magazine,...Ch. 8.1 - Cottonmouth Litter Size. In the article The...Ch. 8.1 - Wedding Costs. Refer to Exercise 8.17. Assume that...Ch. 8.1 - Cottonmouth Litter Size. Refer to Exercise 8.18....Ch. 8.1 - Fuel Tank Capacity. Consumer Reports provides...Ch. 8.1 - Home Improvements. The American Express Retail...Ch. 8.1 - Giant Tarantulas. A tarantula has two body parts....Ch. 8.1 - Serum Cholesterol Levels. In formation on serum...Ch. 8.1 - Prob. 25ECh. 8.1 - New Mobile Homes. Refer to Examples 8.1 and 8.2....Ch. 8.2 - Find the confidence level and for a. a 90%...Ch. 8.2 - Find the confidence level and for a. an 85%...Ch. 8.2 - What is meant by saying that a 1 confidence...Ch. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Refer to Procedure 8.1. a. Explain in detail the...Ch. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Suppose that you will be taking a random sample...Ch. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - Prob. 46ECh. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - Prob. 49ECh. 8.2 - A confidence interval for a population mean has a...Ch. 8.2 - A confidence interval for a population mean has...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Prob. 55ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Prob. 57ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Formula 8.2 on page 344 provides a method for...Ch. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - Prob. 65ECh. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Prob. 75ECh. 8.2 - Prob. 76ECh. 8.2 - Medical Marijuana. An issue with legalization of...Ch. 8.2 - Prob. 78ECh. 8.2 - Medical Marijuana. Refer to Exercise 8.77. a....Ch. 8.2 - American Alligators. Refer to Exercise 8.78. a....Ch. 8.2 - Medical Marijuana. Refer to Exercise 8.77. a. The...Ch. 8.2 - Prob. 82ECh. 8.2 - Prob. 83ECh. 8.2 - Prob. 84ECh. 8.2 - Pulmonary Hypertension. In the paper Persistent...Ch. 8.2 - Fuel Expenditures. In estimating the mean monthly...Ch. 8.2 - Prob. 87ECh. 8.2 - Prob. 88ECh. 8.2 - Political Prisoners. In Exercise 8.73, you found a...Ch. 8.2 - Keep on Rolling. In Exercise 8.74, you found a 99%...Ch. 8.2 - Prob. 91ECh. 8.2 - Prob. 92ECh. 8.2 - Doing Time. The U.S. Department of Justice, Office...Ch. 8.2 - Doing Time. The U.S. Department of Justice, Office...Ch. 8.2 - Prob. 95ECh. 8.2 - Prob. 96ECh. 8.2 - Prob. 97ECh. 8.2 - Corporate Farms. The U.S. Census Bureau estimates...Ch. 8.2 - Body Temperature. A study by researchers at the...Ch. 8.2 - Prob. 100ECh. 8.2 - Clocking the Cheetah. The cheetah (Acinonyx...Ch. 8.2 - Prob. 103ECh. 8.2 - Prob. 104ECh. 8.2 - Prob. 105ECh. 8.2 - Prob. 106ECh. 8.2 - Toxic Mushrooms? Refer to Exercise 8.71. a....Ch. 8.3 - Why do you need to consider the studentized...Ch. 8.3 - Prob. 109ECh. 8.3 - Prob. 110ECh. 8.3 - Prob. 111ECh. 8.3 - Batting Averages. An issue of Scientific American...Ch. 8.3 - Prob. 113ECh. 8.3 - Two t-curves have degrees of freedom 12 and 20,...Ch. 8.3 - For a t-curve with df = 6, use Table IV to find...Ch. 8.3 - For a t-curve with df = 17, use Table IV to find...Ch. 8.3 - Prob. 117ECh. 8.3 - Prob. 118ECh. 8.3 - Fuel Tank Capacity. Consumer Reports provides...Ch. 8.3 - Prob. 120ECh. 8.3 - Prob. 121ECh. 8.3 - Prob. 122ECh. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - Prob. 126ECh. 8.3 - Prob. 127ECh. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Sleep. In 1908, W. S. Gosset published the article...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - In each of Exercises 8.135-8.138, use the...Ch. 8.3 - Prob. 136ECh. 8.3 - In each of Exercises 8.1358.138, use the...Ch. 8.3 - Prob. 138ECh. 8.3 - The Coruros Burrow. The subterranean coruro...Ch. 8.3 - Forearm Length. In 1903. K Pearson and A. Lee...Ch. 8.3 - Blood Cholesterol and Heart Disease. Numerous...Ch. 8.3 - Bicycle Commuting Times. A city planner working on...Ch. 8.3 - Prob. 143ECh. 8.3 - Prob. 144ECh. 8.3 - Prob. 146ECh. 8.3 - Another type of confidence interval is called a...Ch. 8.3 - Another type of confidence interval is called a...Ch. 8.3 - Prob. 149ECh. 8.3 - Christmas Spending. In a national poll of 1039...Ch. 8 - Explain the difference between a point estimate of...Ch. 8 - Answer true or false to the following statement,...Ch. 8 - Must the variable under consideration be normally...Ch. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Suppose that you intend to find a 95% confidence...Ch. 8 - A confidence interval for a population mean has a...Ch. 8 - Suppose that you plan to apply the one-mean...Ch. 8 - A variable of a population has a mean of 266 and a...Ch. 8 - Baby Weight. The paper Are Babies Normal? by T....Ch. 8 - The following figure shows the standard normal...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - For a t-curve with df = 18, obtain the t-value and...Ch. 8 - Millionaires. Dr. Thomas Stanley of Georgia Slate...Ch. 8 - Millionaires. From Problem 19, we know that a 95%...Ch. 8 - Prison Sentences. Researchers M. Dhami et al....Ch. 8 - Prison Sentences. Refer to Problem 21. a. Find the...Ch. 8 - Children of Diabetic Mothers. The paper...Ch. 8 - Diamond Pricing. In a Singapore edition of...Ch. 8 - Wildfires. Wildfires are uncontrolled fires that...Ch. 8 - Fuel Economy. The U.S. Department of Energy...Ch. 8 - Prob. 28RPCh. 8 - UWEC UNDERGRADUATES Recall from Chapter 1 (see...Ch. 8 - BANK ROBBERIES: A STATISTICAL ANALYSIS At the...
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
- For a 98% confidence interval of the population mean based on a sample of n = 20 with s = 0.05, the critical value of t is:arrow_forwardIf you were constructing a 99% confidence interval of the population mean based on a sample ofn = 41 where the standard deviation of the sample is S = 15, the critical value of t will bearrow_forwarduse the given information to find the minimum sample size required to estimate an unknown population mean u. How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sampel mean is within $5 of the population mean, and the population standard deviation is known to be $89.arrow_forward
- A researcher conducts a hypothesis test using a sample of n = 20 with M = 34 and s 2 = 36 from an unknown population. What is the df value for the t statistic?arrow_forwardWhat is tα/2,df for a 95% confidence interval of the population mean based on a sample of 15 observations?arrow_forwardA population has a mean of u=50 and a standard deviation of O=20 A. Would a score of x=70 be considered an extrem value in this sample? B. If the standard deviation were O=5, would a score of x=70be considered an extreme value?arrow_forward
- Use the given information to find the minimum sample size required to estimate an unknown population mean . How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $5 of the population mean, and the population standard deviation is known to be $37arrow_forwardUse the given data to find the 95% confidence interval estimate of the population mean μμ. Assume that the population has a normal distribution. IQ scores of professional athletes:Sample size n=15n=15Mean x⎯⎯⎯=106x¯=106Standard deviation s=15 _____<μ< _____arrow_forwardA sample of n = 16 scores has a mean of M = 58 with SS = 960. Use the sample to construct the 90% confidence interval for µ. arrow_forward
arrow_back_ios
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
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License