Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 10, Problem 106SE
To determine
Find the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6.
a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) I worked out the Upper Limit, but I can't seem to arrive at the correct answer for the Lower Limit. What is the Lower Limit?…
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 0. What level of type II error would you recommend here?
=
Round your answer to four decimal places (e.g. 98.7654). Use α = 0.05.
β
= 0.0594
What sample size would be required?
Assume the sample sizes are to be…
Consider the hypothesis test Ho: 0
s² =
=
4.5; s² = 2.3. Use a
= 0.01.
=
σ against H₁: 6 > σ2. Suppose that the sample sizes are n₁ =
20 and 2
= 8, and that
(a) Test the hypothesis.
Round your answers to two decimal places (e.g. 98.76).
The test statistic is fo
=
1.96
The critical value is f
=
6.18
Conclusion:
fail to reject
the null hypothesis at a = 0.01.
(b) Construct the confidence interval on 02/2/622 which can be used to test the hypothesis:
(Round your answer to two decimal places (e.g. 98.76).)
035
Chapter 10 Solutions
Applied Statistics and Probability for Engineers
Ch. 10.1 - 10-1. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.1 - 10-2. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.1 - Prob. 3ECh. 10.1 - 10-4. Two machines are used for filling plastic...Ch. 10.1 - Prob. 5ECh. 10.1 - 10-6. The burning rates of two different...Ch. 10.1 - 10-7. Two different formulations of an oxygenated...Ch. 10.1 - 10-8. A polymer is manufactured in a batch...Ch. 10.1 - 10-9. The concentration of active ingredient in a...Ch. 10.1 - 10-10. An article in Industrial Engineer...
Ch. 10.1 - 10-11. Reconsider the data from Exercise 10-10....Ch. 10.1 - 10-12. Reconsider the study described in Exercise...Ch. 10.1 - 10-13. In their book Statistical Thinking (2nd...Ch. 10.2 - 10-14. Consider the following computer...Ch. 10.2 - 10-15. Consider the computer output...Ch. 10.2 - 10-16. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.2 - 10-17. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.2 - 10-18. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.2 - 10-19. The diameter of steel rods manufactured on...Ch. 10.2 - 10-20. An article in Fire Technology investigated...Ch. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - 10-23. In semiconductor manufacturing, wet...Ch. 10.2 - 10-24. Two suppliers manufacture a plastic gear...Ch. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - 10-27. Two companies manufacture a rubber material...Ch. 10.2 - 10-28. The thickness of a plastic film (in mils)...Ch. 10.2 - 10-29. An article in Electronic Components and...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - 10-33. The overall distance traveled by a golf...Ch. 10.2 - 10-34. The “spring-like effect” in a golf club...Ch. 10.2 - 10-35. Reconsider the paper towel absorbency data...Ch. 10.2 - 10-36. European scientists sampled rivers in...Ch. 10.2 - 10-37. Olympic swimmers are seeded according to...Ch. 10.2 - Prob. 38ECh. 10.2 - 10-39. An article in Polymer Degradation and...Ch. 10.2 - 10-40. An article in Quality Engineering [2012,...Ch. 10.3 - 10-41. An electrical engineer must design a...Ch. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - 10-47. Another nonparametric test known as Tukey’s...Ch. 10.3 - Prob. 48ECh. 10.4 - 10-49. Consider the shear strength experiment...Ch. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - 10-55. Ten individuals have participated in a...Ch. 10.4 - Prob. 56ECh. 10.4 - 10-57. An article in Neurology (1998, Vol. 50, pp....Ch. 10.4 - Prob. 58ECh. 10.4 - Prob. 59ECh. 10.4 - 10-60. Repeat Exercise 10-59 using the Wilcoxon...Ch. 10.4 - 10-61. Neuroscientists conducted research in a...Ch. 10.4 - Prob. 62ECh. 10.5 - 10-63. For an F distribution, find the...Ch. 10.5 - Prob. 64ECh. 10.5 - Prob. 65ECh. 10.5 - 10-66. Consider the hypothesis test against ....Ch. 10.5 - 10-67. Consider the hypothesis test against ....Ch. 10.5 - Prob. 68ECh. 10.5 - Prob. 69ECh. 10.5 - Prob. 70ECh. 10.5 - Prob. 71ECh. 10.5 - 10-72. Consider the gear impact strength data in...Ch. 10.5 - Prob. 73ECh. 10.5 - Prob. 74ECh. 10.5 - 10-75. Reconsider the overall distance data for...Ch. 10.5 - 10-76. Reconsider the coefficient of restitution...Ch. 10.5 - Prob. 77ECh. 10.5 - Prob. 78ECh. 10.5 - Prob. 79ECh. 10.5 - Prob. 80ECh. 10.5 - Prob. 81ECh. 10.6 - 10-82. Consider the following computer...Ch. 10.6 - Prob. 83ECh. 10.6 - Prob. 84ECh. 10.6 - Prob. 85ECh. 10.6 - Prob. 86ECh. 10.6 - Prob. 87ECh. 10.6 - 10-88. A random sample of 500 adult residents of...Ch. 10.6 - Prob. 89ECh. 10.6 - Prob. 90ECh. 10.6 - Prob. 91ECh. 10.6 - 10-92 Consider the highway speed limit data...Ch. 10 - Prob. 93SECh. 10 - Prob. 94SECh. 10 - Prob. 95SECh. 10 - Prob. 96SECh. 10 - 10-97. A liquid dietary product implies in its...Ch. 10 - Prob. 98SECh. 10 - Prob. 99SECh. 10 - Prob. 100SECh. 10 - Prob. 101SECh. 10 - 10-102. In a random sample of 200 Phoenix...Ch. 10 - 10-103. Consider the previous exercise, which...Ch. 10 - Prob. 104SECh. 10 - 10-105. Two machines are used to fill plastic...Ch. 10 - Prob. 106SECh. 10 - Prob. 107SECh. 10 - Prob. 108SECh. 10 - Prob. 109SECh. 10 - 10-110. An experiment was conducted to compare the...Ch. 10 - Prob. 111SECh. 10 - Prob. 112SECh. 10 - 10-113. An article in the Journal of the...Ch. 10 - Prob. 114SECh. 10 - Prob. 115SECh. 10 - Prob. 116SECh. 10 - Prob. 117SECh. 10 - Prob. 118SECh. 10 - Prob. 119SECh. 10 - Prob. 120SECh. 10 - Prob. 121SECh. 10 - Prob. 122SECh. 10 - Prob. 123SECh. 10 - Prob. 124SE
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
- Using the method of sections need help solving this please explain im stuckarrow_forwardPlease solve 6.31 by using the method of sections im stuck and need explanationarrow_forwarda) When two variables are correlated, can the researcher be sure that one variable causes the other? If YES , why? If NO , why? b) What is meant by the statement that two variables are related? Discuss.arrow_forward
- SCIE 211 Lab 3: Graphing and DataWorksheetPre-lab Questions:1. When should you use each of the following types of graphs? Fill answers in the table below.Type of Graph Used to showLine graphScatter plotBar graphHistogramPie Chart2. Several ways in which we can be fooled or misled by a graph were identified in the Lab 3Introduction. Find two examples of misleading graphs on the Internet and paste them below. Besure to identify why each graph is misleading. Data Charts:Circumference vs. Diameter for circular objectsDiameter Can 1 (cm) Can 2 (cm) Can 3 (cm)Trial 1Trial 2Trial 3MeanCircumference Can 1 (cm) Can 2 (cm) Can 3 (cm)Trial 1Trial 2Trial 3MeanScatter Plot Graph – Circumference Vs. DiameterIdentify 2 points of the Trendline.Y1 = ________ Y2 = _________X1 = ________ X2 = _________Calculate the Slope of the Trendline = Post-lab Questions:1. Answer the questions below. You will need to use the following equation to answer…arrow_forwardThe U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership. a. Formulate the hypotheses that can be used to determine whether union membership increased in 2014.H 0: p H a: p b. If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test (to 4 decimals)?arrow_forwardA company manages an electronic equipment store and has ordered 200200 LCD TVs for a special sale. The list price for each TV is $200200 with a trade discount series of 6 divided by 10 divided by 2.6/10/2. Find the net price of the order by using the net decimal equivalent.arrow_forward
- According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 10 flights are randomly selected, and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Determine the values of n and p. (c) Find and interpret the probability that exactly 6 flights are on time. (d) Find and interpret the probability that fewer than 6 flights are on time. (e) Find and interpret the probability that at least 6 flights are on time. (f) Find and interpret the probability that between 4 and 6 flights, inclusive, are on time.arrow_forwardShow how you get critical values of 1.65, -1.65, and $1.96 for a right-tailed, left- tailed, and two-tailed hypothesis test (use a = 0.05 and assume a large sample size).arrow_forwardSuppose that a sports reporter claims the average football game lasts 3 hours, and you believe it's more than that. Your random sample of 35 games has an average time of 3.25 hours. Assume that the population standard deviation is 1 hour. Use a = 0.05. What do you conclude?arrow_forward
- Suppose that a pizza place claims its average pizza delivery time is 30 minutes, but you believe it takes longer than that. Your sample of 10 pizzas has an average delivery time of 40 minutes. Assume that the population standard deviation is 15 minutes and the times have a normal distribution. Use a = 0.05. a. What are your null and alternative hypotheses? b. What is the critical value? c. What is the test statistic? d. What is the conclusion?arrow_forwardTable 5: Measurement Data for Question 9 Part Number Op-1, M-1 Op-1, M-2 | Op-2, M-1 Op-2, M-2 | Op-3, M-1 Op-3, M-2 1 21 20 20 20 19 21 2 24 23 24 24 23 24 3 4 5 6 7 8 9 10 11 21 12 8222332 201 21 20 22 20 22 27 27 28 26 27 28 19 18 19 21 24 21 22 19 17 18 24 23 25 25 23 26 20 20 18 19 17 13 23 25 25 2 3 3 3 3 2 3 18 18 21 21 23 22 24 22 20 19 23 24 25 24 20 21 19 18 25 25 14 24 24 23 25 24 15 29 30 30 28 31 16 26 26 25 26 25 17 20 20 19 20 20 843882388 20 18 25 20 19 25 25 30 27 20 18 19 21 19 19 21 23 19 25 26 25 24 25 25 20 19 19 18 17 19 17 Question 9 A measurement systems experiment involving 20 parts, three operators (Op-1, Op-2, Op-3), and two measure- ments (M-1, M-2) per part is shown in Table 5. (a) Estimate the repeatability and reproducibility of the gauge. (b) What is the estimate of total gauge variability?" (c) If the product specifications are at LSL = 6 and USL 60, what can you say about gauge capability?arrow_forwardQuestion 5 A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a process. (a) If three-sigma limits are used, find the sample size for the control charte 2 (b) Use the Poisson approximation to the binomial to find the probability of type I error. (c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction defective is actually p = 0.20.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 Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction 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