Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 3, Problem 4RE
To determine
To find: The mean of the three numbers.
To identify: The mistake existed with the mean.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Does Chi-squared(alpha) always represent the right tail of the the chi-square distribution and does Chi-squared(1-alpha) always represent the left tail of the the chi-square distribution. Also, for a standard normal distribution would Z(1-alpha) be equivalent to -Zalpha in represneting the left tail of the standard normal distribution curve because they both have the same z-score. Furthermore, is my understanding correct in the sense that if we have a critical value,say Zalpha, would the area to the right of it will be alpha and to the left of it would be 1-alpha
One bulb manufacturer claims an average bulb life of 1,600 hours. It is suspected that the actual average is significantly lower. To verify this, a sample of 49 bulbs is selected and the life of each bulb is measured. A sample mean of 1,500 hours and a standard deviation of 120 hours were obtained from them.
Can you be sure, at 5% significance, that the mean life is less than what the manufacturer claims?
The specification calls for the dimension of a certain mechanical part to be 0.55 inches. A random sample of 35 parts taken from a large batch showed a mean 0.54 in. with a deviation of 0.05 in.
Can it be concluded, at 1% significance, that the batch of parts meets the required specification?
Chapter 3 Solutions
Essentials of Statistics (5th Edition)
Ch. 3.2 - Employment Data listed below are results from the...Ch. 3.2 - Average The web site IncomeTaxList.com lists the...Ch. 3.2 - Median In an editorial, the Poughkeepsie Journal...Ch. 3.2 - Prob. 4BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 8BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 10BSC
Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 14BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 18BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 21-24, find the mean and median for...Ch. 3.2 - In Exercises 21-24, find the mean and median for...Ch. 3.2 - Prob. 23BSCCh. 3.2 - In Exercises 21-24, find the mean and median for...Ch. 3.2 - Large Data Sots from Appendix B. In Exercises...Ch. 3.2 - Prob. 26BSCCh. 3.2 - Prob. 27BSCCh. 3.2 - Prob. 28BSCCh. 3.2 - Prob. 29BSCCh. 3.2 - In Exercises 29-32, find the mean of the data...Ch. 3.2 - Prob. 31BSCCh. 3.2 - In Exercises 29-32, find the mean of the data...Ch. 3.2 - Degrees of Freedom Carbon monoxide is measured in...Ch. 3.2 - Prob. 34BBCh. 3.2 - Trimmed Mean Because the mean is very sensitive to...Ch. 3.2 - Prob. 36BBCh. 3.2 - Prob. 37BBCh. 3.2 - Quadratic Mean The quadratic mean (or root mean...Ch. 3.2 - Prob. 39BBCh. 3.3 - Comparing Variation Which do you think has less...Ch. 3.3 - Correct Statements? Which of the following...Ch. 3.3 - Variation and Variance In statistics, how do the...Ch. 3.3 - Prob. 4BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 7BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 9BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 11BSCCh. 3.3 - Prob. 12BSCCh. 3.3 - Prob. 13BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 15BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 18BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 21BSCCh. 3.3 - Prob. 22BSCCh. 3.3 - Prob. 23BSCCh. 3.3 - Prob. 24BSCCh. 3.3 - Prob. 25BSCCh. 3.3 - Prob. 26BSCCh. 3.3 - Prob. 27BSCCh. 3.3 - Prob. 28BSCCh. 3.3 - Prob. 29BSCCh. 3.3 - Estimating Standard Deviation with the Range Rule...Ch. 3.3 - Prob. 31BSCCh. 3.3 - Prob. 32BSCCh. 3.3 - Prob. 33BSCCh. 3.3 - Prob. 34BSCCh. 3.3 - Identifying Unusual Values with the Range Rule of...Ch. 3.3 - Prob. 36BSCCh. 3.3 - Prob. 37BSCCh. 3.3 - Finding Standard Deviation from a Frequency...Ch. 3.3 - Prob. 39BSCCh. 3.3 - Finding Standard Deviation from a Frequency...Ch. 3.3 - Prob. 41BSCCh. 3.3 - The Empirical Rule Based on Data Set 3 Body...Ch. 3.3 - Prob. 43BSCCh. 3.3 - Chebyshev's Theorem Based on Data Set 3 in...Ch. 3.3 - Why Divide by n 1? Let a population consist of...Ch. 3.3 - Prob. 46BBCh. 3.4 - z Scores James Madison, the fourth President of...Ch. 3.4 - Prob. 2BSCCh. 3.4 - Prob. 3BSCCh. 3.4 - Prob. 4BSCCh. 3.4 - Prob. 5BSCCh. 3.4 - Prob. 6BSCCh. 3.4 - Prob. 7BSCCh. 3.4 - Prob. 8BSCCh. 3.4 - Prob. 9BSCCh. 3.4 - Prob. 10BSCCh. 3.4 - Usual and Unusual Values.In Exercises 9-12,...Ch. 3.4 - Usual and Unusual Values.In Exercises 9-12,...Ch. 3.4 - Prob. 13BSCCh. 3.4 - Prob. 14BSCCh. 3.4 - Comparing Values.In Exercises 13-16, use z scores...Ch. 3.4 - Prob. 16BSCCh. 3.4 - Percentiles. In Exercises 17-20, use the following...Ch. 3.4 - Prob. 18BSCCh. 3.4 - Prob. 19BSCCh. 3.4 - Prob. 20BSCCh. 3.4 - Prob. 21BSCCh. 3.4 - Prob. 22BSCCh. 3.4 - Prob. 23BSCCh. 3.4 - Prob. 24BSCCh. 3.4 - Prob. 25BSCCh. 3.4 - Prob. 26BSCCh. 3.4 - Prob. 27BSCCh. 3.4 - Prob. 28BSCCh. 3.4 - Boxplots. In Exercises 29-32, use the given data...Ch. 3.4 - Prob. 30BSCCh. 3.4 - Prob. 31BSCCh. 3.4 - Boxplots. In Exercises 29-32, use the given data...Ch. 3.4 - Prob. 33BSCCh. 3.4 - Boxplots from Larger Data Sets In Appendix B. In...Ch. 3.4 - Prob. 35BSCCh. 3.4 - Boxplots from Larger Data Sets In Appendix B. In...Ch. 3.4 - Prob. 37BBCh. 3.4 - Prob. 38BBCh. 3 - Find the mean of these times that American...Ch. 3 - What is the median of the sample values listed in...Ch. 3 - Prob. 3CQQCh. 3 - The standard deviation of the sample values in...Ch. 3 - The taxi-in times for 48 flights that landed in...Ch. 3 - You plan to investigate the variation of taxi-in...Ch. 3 - Consider a sample taken from the population of all...Ch. 3 - Consider a sample taken from the population of all...Ch. 3 - Approximately what percentage of taxi-in times is...Ch. 3 - Prob. 10CQQCh. 3 - Ergonomics When designing an eye-recognition...Ch. 3 - z Score Using the sample data from Exercise 1,...Ch. 3 - Boxplot Using the same standing heights listed in...Ch. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Aircraft Design Engineers designing overhead bin...Ch. 3 - Prob. 9RECh. 3 - Moan or Median? A statistics class with 40...Ch. 3 - Designing Gloves An engineer is designing a...Ch. 3 - Frequency Distribution Use the hand lengths in...Ch. 3 - Histogram Use the frequency distribution from...Ch. 3 - Stemplot Use the hand lengths from Exercise 1 to...Ch. 3 - Descriptive Statistics Use the hand lengths in...Ch. 3 - Normal Distribution Instead of using the hand...Ch. 3 - Sampling Shortly after the World Trade Center...Ch. 3 - Prob. 8CRE
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 manufacturer produces a wire rope of a certain type, which has a breaking strength of not more than 300 kg. A new and cheaper process is discovered which is desired to be employed, provided that the wire rope thus produced has an average breaking strength greater than 300 kg. If a random sample of 26 wires produced with the new process has given a mean of 304.5 kg and a standard deviation of 15 kg, should the manufacturer adopt the new process?arrow_forwardWe are interested in whether the proportions of female suicide victims for ages 15 to 24 are the same between the white and the black races in the United States. We randomly pick one year to compare the races. The number of suicides estimated in the United States in that year for white females is 4,930. Five hundred eighty-three were aged 15 to 24. The estimate for black females is 330. Forty-one were aged 15 to 24. We will let female suicide victims be our population. (Use α = 0.05.) NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. ○ Ho: PW> PB O Ho: PW + PB Ho: Pw≤ PB Ho: PW-PB ○ Ho: Pw PB Part (c) In words, state what your random variable P'w-P'B represents. P'w-P'B represents the average difference of white and black female suicide victims, aged 15 to 24. ○ P'w-P'B…arrow_forwardplease solve this problem step by step and make it quick pleasearrow_forward
- please solve this problem step by step and make it quick pleasearrow_forward8.67 Free recall memory strategy. Psychologists who study ①memory often use a measure of "free recall" (e.g., the RECALL number of correctly recalled items in a list of to-be- remembered items). The strategy used to memorize the list-for example, category clustering-is often just as important. Researchers at Central Michigan University developed an algorithm for computing measures of cat- egory clustering in Advances in Cognitive Psychology (Oct. 2012). One measure, called ratio of repetition, was recorded for a sample of 8 participants in a memory study. These ratios are listed in the table. Test the theory that the average ratio of repetition for all participants in a similar memory study differs from .5. Select an appropriate Type I error rate for your test. .25 .43 .57 .38 .38 .60 .47 .30 Source: Senkova, O., & Otani, H. "Category clustering calculator for free recall." Advances in Cognitive Psychology, Vol. 8, No. 4, Oct. 2012 (Table 3).arrow_forward8.64 Radon exposure in Egyptian tombs. Refer to the D Radiation Protection Dosimetry (Dec. 2010) study TOMBS of radon exposure in Egyptian tombs, Exercise 7.39 (p. 334). The radon levels-measured in becquerels per cubic meter (Bq/m³)-in the inner chambers of a sam- ple of 12 tombs are listed in the table. For the safety of the guards and visitors, the Egypt Tourism Authority (ETA) will temporarily close the tombs if the true mean level of radon exposure in the tombs rises to 6,000 Bq/m³. Consequently, the ETA wants to conduct a test to deter- mine if the true mean level of radon exposure in the tombs is less than 6,000 Bq/m³, using a Type I error probabil- ity of .10. A SAS analysis of the data is shown on p. 399. Specify all the elements of the test: Ho, Ha, test statistic, p-value, a, and your conclusion. 50 390 910 12100 180 580 7800 4000 3400 1300 11900 1100 N Mean Std Dev Std Err Minimum Maximum 12 3642.5 4486.9 1295.3 50.0000 12100.0arrow_forward
- How does probability help businesses make informed decisions under uncertainty? Provide an example of how businesses use probability in marketing to predict customer behavior. Why is probability considered essential in financial decision-making, particularly in portfolio management? Discuss how the use of probability in inventory management can improve customer satisfaction. Compare the role of probability in marketing and financial decision-making. How do the applications differ in their objectives?arrow_forward55 5.5 A glass bottle manufacturing company has recorded data on the average number of defects per 10,000 bottles due to stones (small pieces of rock embedded in the bottle wall) and the number of weeks since the last furnace overhaul. The data are shown below. Defects per 10,000 Weeks 13.0 4 16.1 5 14.5 6 17.8 7 22.0 8 27.4 9 16.8 10 65.6 ☐☐ Defects per 10,000 Weeks 34.2 11 12 49.2 13 66.2 81.2 87.4 14 15 16 114.5 17 a. Fit a straight-line regression model to the data and perform the standard tests for model adequacy. b. Suggest an appropriate transformation to eliminate the problems encoun- tered in part a. Fit the transformed model and check for adequacy.arrow_forwardOne estimate of the proportion of children with autism in the United States is 1 in 100 (Source: http://www.cbsnews.com/stories/2009/10/05/health/main5363192.shtml). Suppose you are interested in the rate of autism among current school-aged children in Utah. You collect a sample of 400 children between the ages of 5 and 18 and find that three have had a previous diagnosis of an autism disorder. You plan to calculate a 95% confidence interval estimator of the proportion of school-aged children in Utah who have ever had a diagnosis of an autism disorder. Which of the following is the most likely reason you would use a Wilson estimator to calculate the confidence interval estimator? It is uncomfortable to define having been diagnosed with autism as a success. It is possible that if even the actual proportion in Utah is 1%, your sample may only have very few children who have had a previous diagnosis of an autism disorder. It is an easier way to calculate the confidence…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License