Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12.3, Problem 133E
To determine
Show that a
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Rey examines the difference in the amount of carbon dioxide in the two types of mineral water. He performs a two-group t-test to compare the average carbon dioxide levels in the two groups. His hypotheses are H0: μ1 −μ2 = 0 and H1: μ1 −μ2 ̸ = 0. Rey also calculated a confidence interval for the difference between the means of the two groups (and used the same α as in the hypothesis test). Rey rejected the null hypothesis. Which of the following applies to the safety margin calculated by Rey?
It contains the value zero.
It contains 95% of the values that can occur when the experiment is performed. 3. It does not contain the value zero.
It contains both values greater than zero and values less than zero.
I do not know.
A random sample of size n1=22, taken from a normal population with a standard deviation σ1=6, has a mean x1=80. A second random sample of size n2=37,taken from a different normal population with a standard deviation σ2=4, has a mean x2=33. Find a 92% confidence interval for μ1−μ2
A random sample of size n1=25, taken from a normal population with a standard deviation σ1=5, has a mean x̄1=80. A second random sample of size n2=36, taken from a different normal population with a standard deviation σ2=3, has a mean x̄2=75. Find a 99% confidence interval for μ1-μ2.
Chapter 12 Solutions
Introductory Statistics (10th Edition)
Ch. 12.1 - Why is statistical inference generally used to...Ch. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Regarding a sample proportion: a. What is it? b....Ch. 12.1 - Regarding the phrase number of successes: a. For...Ch. 12.1 - For what is the phrase number of failures an...Ch. 12.1 - Explain the relationships among the sample...Ch. 12.1 - Prob. 9ECh. 12.1 - Repeat parts (b)(e) of Exercise 12.9 for samples...Ch. 12.1 - Prob. 11E
Ch. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - Random Drug Testing. A Harris Poll asked Americans...Ch. 12.1 - Genetic Binge Eating. According to an article in...Ch. 12.1 - In each of Exercises 12.251230, we have given the...Ch. 12.1 - In each of Exercises 12.251230, we have given the...Ch. 12.1 - In each of Exercises 12.251230, we have given the...Ch. 12.1 - In each of Exercises 12.2512.30, we have given the...Ch. 12.1 - In each of Exercises 12.2512.30, we have given the...Ch. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.1 - In each of Exercises 12.3112.36, we have specified...Ch. 12.1 - Prob. 34ECh. 12.1 - Prob. 35ECh. 12.1 - Prob. 36ECh. 12.1 - Prob. 37ECh. 12.1 - In Exercises 12.3712.42, we have specified the...Ch. 12.1 - Prob. 39ECh. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - Prob. 43ECh. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - Prob. 45ECh. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - In each of Exercises 12.4312.48, we have specified...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - In Exercises 12.4912.54, use Procedure 12.1 on...Ch. 12.1 - Prob. 53ECh. 12.1 - The Nipah Virus. During one year, Malaysia was the...Ch. 12.1 - Literate Adults. Suppose that you have been hired...Ch. 12.1 - IMR in Singapore. The infant mortality rate (IMR)...Ch. 12.1 - Prob. 57ECh. 12.1 - Prob. 58ECh. 12.1 - Asthmatics and Sulfites. Refer to Exercise 12.51. ...Ch. 12.1 - Drinking Habits. Refer to Exercise 12.52. a. Find...Ch. 12.1 - Factory Far mini; Funk. Refer to Exercise 12.53. ...Ch. 12.1 - The Nipah Virus. Refer to Exercise 12.54. a. Find...Ch. 12.1 - Product Response Rate. A company manufactures...Ch. 12.1 - Prob. 64ECh. 12.1 - President's Job Rating. A poll conducted by Gallup...Ch. 12.1 - Prob. 66ECh. 12.1 - In discussing the sample size required for...Ch. 12.1 - Prob. 68ECh. 12.1 - Prob. 69ECh. 12.1 - Prob. 70ECh. 12.1 - Prob. 71ECh. 12.1 - Prob. 72ECh. 12.1 - Prob. 73ECh. 12.1 - Prob. 74ECh. 12.1 - Prob. 75ECh. 12.1 - In each of Exercises 12.7512.78, use the...Ch. 12.1 - In each of Exercises 12.7512.78, use the...Ch. 12.1 - In each of Exercises 12.7512.78, use the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In each of Exercises 12.7912.84, we have given the...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.852.94, use Procedure 12.2 on page...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - In Exercises 12.8512.94, use Procedure 12.2 on...Ch. 12.2 - Prob. 94ECh. 12.3 - Explain the basic idea for performing a hypothesis...Ch. 12.3 - Prob. 96ECh. 12.3 - Sunscreen Use. Industry Research polled teenagers...Ch. 12.3 - Consider a hypothesis test for two population...Ch. 12.3 - Prob. 99ECh. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - Prob. 101ECh. 12.3 - Prob. 102ECh. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - In each of Exercises 12.10012.105, we have...Ch. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - Prob. 107ECh. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - In Exercises 12.10612.111, use either the...Ch. 12.3 - Prob. 111ECh. 12.3 - Prob. 112ECh. 12.3 - Prob. 113ECh. 12.3 - Prob. 114ECh. 12.3 - Prob. 115ECh. 12.3 - Prob. 116ECh. 12.3 - Prob. 117ECh. 12.3 - Hormone Therapy and Dementia. An issue of Science...Ch. 12.3 - Women in the Labor Force. The Organization for...Ch. 12.3 - Neutropenia. Neutropenia is an abnormally low...Ch. 12.3 - Prob. 121ECh. 12.3 - Prob. 122ECh. 12.3 - Prob. 123ECh. 12.3 - Prob. 124ECh. 12.3 - In each of Exercises 12.12212.127, we have given...Ch. 12.3 - Prob. 126ECh. 12.3 - Prob. 127ECh. 12.3 - In each of Exercises 12.12812.131, use the...Ch. 12.3 - Prob. 129ECh. 12.3 - Federal Gas Tax. The Quinnipiac University Poll...Ch. 12.3 - Blockers and Cancer. A Wall Street Journal...Ch. 12.3 - Prob. 132ECh. 12.3 - Prob. 133ECh. 12.3 - Prob. 134ECh. 12.3 - Prob. 135ECh. 12.3 - Eating Out Vegetarian. Refer to the study on...Ch. 12.3 - Eating Out Vegetarian. Repeal Exercise 12.136 by...Ch. 12 - Medical Marijuana? An international poll of...Ch. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Fill in the blanks. a. The mean of all possible...Ch. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Suppose that you are using independent samples to...Ch. 12 - Prob. 8RPCh. 12 - Prob. 9RPCh. 12 - Getting a Job. Refer to Problem 9. a. Determine a...Ch. 12 - Justice in the Courts? In an issue of Parade...Ch. 12 - Prob. 12RPCh. 12 - Small phone Ownership. The Pew Internet American...Ch. 12 - Smartphone Ownership. Refer to Problem 13. a. Find...Ch. 12 - Bulletproof Vests. In the New York Times article A...Ch. 12 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 12 - As you learned on page 544, recent research by R....
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
- A sample of size n=15 has sample mean "x"=2.1 and sample standard deviation s=1.7. A. Construct a 95% confidence interval for the population mean "u". b. If the sample size were n=25, would the confidence interval narrower or wider.arrow_forward1. A 95% confidence interval for P1 - P2 given that P1 = 0.25 with n1 = 40 and P2 = 0.40 with n2 = 120. Give the best estimate for the margin or error, and confidence interval. 2.Test whether there is a difference between two groups in the proportion who voted, if 45 out of random sample of 71 in group 1 votes and 56 out of a random sample of 100 in Group 2 voted. Give the test statistic and p-value.arrow_forward1. A random sample of 120 is selected from a population of which 84 favors the use of fluoridation. (a) Construct 95% confidence interval for the proportion of those who favored fluoridation. Round your answers to two decimal places.(b) How large a sample is needed to get the common ±5 percentage point margin of error with the same 95% confidence level?(c) How large a sample is needed to get the common ±5 percentage point margin of error with the same 95% confidence level? Assuming p is unknown.arrow_forward
- Based on your confidence interval from the previous problem, can you conclude that the mean permeability coefficient at 60∘60∘C differs from that at 61∘61∘C at the 0.05 level of significance? A. Yes, because the 95% confidence interval includes 0 B. No, because the 95% confidence interval includes 0 C. Yes, because the 95% confidence interval does not include 0 D. No, because the 95% confidence interval does not include 0 E. It is impossible answer this question only using the 95% confidence interval.arrow_forwardTo construct a confidence interval for the difference between two population means μ1−μ2, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n 1 ≥30 and n2 ≥30. Also, the samples must be randomly selected and independent. The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries x1=$105,020 1 n 1=44 and σ1equals=$909 x 2 = 85,260, n 2 = 35, and sigma 2=$9110 Complete the 95% confidence interval for 2μ1−μ2 below.arrow_forwardA confidence interval for the difference between the means of two normally distributed populations based on the following dependent samples is desired: Before After 6 8 12 14 8 9 10 13 6 7a. Find the margin of error for a 90% confidence level. b. Find the UCL and the LCL for a 90% confidence level. c. Find the width of a 95% confidence interval.arrow_forward
- In an exercise with silicon nanopillars based on the z-test of a large sample n = 50 with X-Bar = 305.58 and s = 36.971 A) Construct a confidence interval for the 95% mean. B) Decide whether or not to reject the null hypothesis mu = 320 nm against the alternative hypothesis mu different from 320 nm with alpha = 0.05 C) Decide whether or not to reject the null hypothesis mu = 310 nm against the alternative hypothesis mu different to 310 nm with alpha = 0.05. D) What is your decision in the previous section if alpha = 0.02arrow_forwardFind the level of a two-sided confidence interval that is based on the given value of tn−1,α/2and the given sample size.a) t = 2.776, sample size 5.b) t = 2.718, sample size 12.c) t = 5.841, sample size 4.d) t = 1.325, sample size 21.e) t = 1.746, sample size 17.arrow_forwardA random sample of size 35, taken from a normal population with a variance of 5, has a mean of 80. A second random sample of size 36, taken from a different normal population with a variance of 3, has a mean of 75. Find a 95% confidence interval for μ1 − μ2.arrow_forward
- Independent random samples from two normally distributed populations give the following results:nx = 10 x̄ = 480 sx = 30ny = 12 ȳ = 520 sy = 25a. If we assume that the unknown population variances are equal, find the 90% confidence interval for the difference of population means.b. If we do not assume that the unknown population variances are equal, find the 90% confidence interval for the difference between population means.arrow_forwardA sample of size n=49 is drawn from a popular whose standard deviation is q=4.8. a. Find the margin of error for a 95% confidence interval for "u". b. If the sample size were n=60, would the margin of error be larger or smaller?arrow_forwardOn average, 0(zero) is expected for the t statistic when the null hypothesis is true. Why? The value for an unknown population mean is estimated with a confidence interval using the t statistic? Why?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