Essentials of Statistics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780321926739
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 8.2, Problem 34BSC
To determine
To identify: Type I error and Type II error that correspond to the given claim.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Set up a free RStudio account at posit.cloud. At the start of your R session, you should enter the following commands.
set.seed(1)
e<-rnorm(n = 100,mean = 0,sd = 80)
x<-seq(1,100,1)
y<-10+15*x + e
Follow the examples in the Panopto Videos to use R to obtain the values requested below. (As always, if you round your answers, make sure you do so correctly and keep at least
three decimal places.)
(a) The smallest value of y =
(b) The largest value of y =
(c) The standard deviation of y =
(d) The mean of y =
(e) The median of y =
(f) The correlation between x and y =
:
(g) Using the variable e as data, the p-value for a test of Hoμ = 0 vs. HA μ0 is
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?
Chapter 8 Solutions
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Ch. 8.2 - MMs and Aspirin A package label includes a claim...Ch. 8.2 - Estimates and Hypothesis Tests Data Set 20 in...Ch. 8.2 - Mean Body Temperature A formal hypothesis test is...Ch. 8.2 - Interpreting P-value The Ericsson method is one of...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...
Ch. 8.2 - Prob. 11BSCCh. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...Ch. 8.2 - Prob. 13BSCCh. 8.2 - Finding Test Statistics. In Exercises 13-16 find A...Ch. 8.2 - Prob. 15BSCCh. 8.2 - Finding Test Statistics. In Exercises 13-16 find A...Ch. 8.2 - Prob. 17BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 19BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 21BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 24BSCCh. 8.2 - Prob. 25BSCCh. 8.2 - Stating Conclusions. In Exercises 25-28, assume a...Ch. 8.2 - Prob. 27BSCCh. 8.2 - Stating Conclusions. In Exercises 25-28, assume a...Ch. 8.2 - Prob. 29BSCCh. 8.2 - Terminology. In Exercises 29 and 30, use the given...Ch. 8.2 - Prob. 31BSCCh. 8.2 - Type I and Type II Errors. In Exercises 31-34,...Ch. 8.2 - Type I and Type II Errors. In Exercises 31-34,...Ch. 8.2 - Prob. 34BSCCh. 8.2 - Interpreting Power Chantix tablets are used as an...Ch. 8.2 - Calculating Power Consider a hypothesis test of...Ch. 8.2 - Finding Sample Size to Achieve Power Researchers...Ch. 8.3 - Prob. 1BSCCh. 8.3 - Prob. 2BSCCh. 8.3 - Prob. 3BSCCh. 8.3 - Prob. 4BSCCh. 8.3 - Using Technology. In Exercises 5-8, identify the...Ch. 8.3 - Prob. 6BSCCh. 8.3 - Prob. 7BSCCh. 8.3 - Prob. 8BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 10BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 13BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 29BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 33BSCCh. 8.3 - Large Data Sets. In Exercises 33 and 34, use the...Ch. 8.3 - Prob. 35BBCh. 8.3 - Using Confidence Intervals to Test Hypotheses When...Ch. 8.3 - Prob. 37BBCh. 8.4 - Video Games: Checking Requirements Twelve...Ch. 8.4 - df If we are using the sample data from Exercise 1...Ch. 8.4 - Prob. 3BSCCh. 8.4 - Prob. 4BSCCh. 8.4 - Prob. 5BSCCh. 8.4 - Prob. 6BSCCh. 8.4 - Finding P-values. In Exercises 5-8, either use...Ch. 8.4 - Finding P-values. In Exercises 5-8, either use...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 10BSCCh. 8.4 - Prob. 11BSCCh. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 14BSCCh. 8.4 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 17BSCCh. 8.4 - Prob. 18BSCCh. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Large Data Sets from Appendix B. In Exercise...Ch. 8.4 - Large Data Sets from Appendix B. In Exercise...Ch. 8.4 - Prob. 27BSCCh. 8.4 - Prob. 28BSCCh. 8.4 - Prob. 29BBCh. 8.4 - Prob. 30BBCh. 8.4 - Hypothesis Tests with Known . In Exercises 29-32,...Ch. 8.4 - Hypothesis Tests with Known . In Exercises 29-32,...Ch. 8.4 - Prob. 33BBCh. 8.4 - Prob. 34BBCh. 8.4 - Interpreting Power For Example 1 in this section,...Ch. 8.5 - Requirements If we want to use the sample data...Ch. 8.5 - Confidence Interval Method of Hypothesis Testing...Ch. 8.5 - Hypothesis Test For the sample data from Exercise...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 8BSCCh. 8.5 - Prob. 9BSCCh. 8.5 - Prob. 10BSCCh. 8.5 - Prob. 11BSCCh. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 13BSCCh. 8.5 - Prob. 14BSCCh. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 17BSCCh. 8.5 - Prob. 18BSCCh. 8.5 - Prob. 19BBCh. 8.5 - Prob. 20BBCh. 8 - Wristwatch Accuracy Students of the author...Ch. 8 - Wristwatch Accuracy Students of the author...Ch. 8 - Prob. 3CQQCh. 8 - Normality For the hypothesis test in Exercise 1,...Ch. 8 - Prob. 5CQQCh. 8 - P-Value Kind the P-value in a test of the claim...Ch. 8 - Prob. 7CQQCh. 8 - Prob. 8CQQCh. 8 - Conclusions True or false: In hypothesis testing,...Ch. 8 - Prob. 10CQQCh. 8 - Prob. 1RECh. 8 - Leisure Time In a Gallup poll, 1010 adults were...Ch. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Monitoring Lead in Air Listed below are measured...Ch. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Dictionary Words A simple random sample of pages...Ch. 8 - Prob. 2CRECh. 8 - Prob. 3CRECh. 8 - Hypothesis Test for Dictionary Words Refer to the...Ch. 8 - Prob. 5CRECh. 8 - Prob. 6CRECh. 8 - Prob. 7CRECh. 8 - Prob. 8CRECh. 8 - Prob. 9CRECh. 8 - Prob. 10CRE
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 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?arrow_forwardA 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_forward
- please solve this problem step by step and make it quick pleasearrow_forwardplease 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_forward
- 8.64 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_forwardHow 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher: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 TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY