To determine Find the values for the given percentiles. Explanation Calculation: χ 2 Distribution : If X 1 , X 2 , .... , X n is a random sample from a normal distribution with mean μ and variance σ 2 and consider S 2 as the sample variance then the random variable, X 2 = ( n − 1 ) S 2 σ 2 follows a chi-square ( χ 2 ) distribution with n − 1 degrees of freedom. For χ 0.05 , 10 2 : From “Table IV: Percentage Points χ α , v 2 of the Chi-distribution”, the required value is. Locate the value 0.05 in the first row of the table. Locate the value 10 in the first column of the table. The intersecting value of row and column is 18.31. Therefore, the value of χ 0.05 , 10 2 is 18.31. For χ 0.025 , 15 2 : From “Table IV: Percentage Points χ α , v 2 of the Chi-distribution”, the required value is. Locate the value 0.025 in the first row of the table. Locate the value 15 in the first column of the table. The intersecting value of row and column is 27.49. Therefore, the value of χ 0.025 , 15 2 is 27.49. For χ 0.01 , 12 2 : From “Table IV: Percentage Points χ α , v 2 of the Chi-distribution”, the required value is. Locate the value 0.01 in the first row of the table. Locate the value 12 in the first column of the table

Applied Statistics and Probability for Engineers

6th Edition

ISBN: 9781118539712

Author: Douglas C. Montgomery

Publisher: WILEY

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 46E

To determine

Find the values for the given percentiles.

Expert Solution & Answer

Chapter 8 Solutions

Applied Statistics and Probability for Engineers

Ch. 8.1 - 8-1. For a normal population with known variance...Ch. 8.1 - 8-2. For a normal population with known variance...Ch. 8.1 - 8-3. Consider the one-sided confidence interval...Ch. 8.1 - 8-4. A confidence interval estimate is desired for...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - 8-8. Following are two confidence interval...Ch. 8.1 - 8-9. Suppose that n = 100 random samples of water...Ch. 8.1 - 8-10. Past experience has indicated that the...

Ch. 8.1 - 8-11. The yield of a chemical process is being...Ch. 8.1 - 8-12. The diameter of holes for a cable harness is...Ch. 8.1 - 8-13. A manufacturer produces piston rings for an...Ch. 8.1 - 8-14. The life in hours of a 75-watt light bulb is...Ch. 8.1 - 8-15. A civil engineer is analyzing the...Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - 8-20. If the sample size n is doubled, by how much...Ch. 8.1 - 8-21. Go Tutorial An article in the Journal of...Ch. 8.1 - 8-22. Ishikawa et al. (Journal of Bioscience and...Ch. 8.1 - Prob. 23E Ch. 8.2 - 8-24. Find the values of the following...Ch. 8.2 - Prob. 25E Ch. 8.2 - Prob. 26E Ch. 8.2 - 8-27. A random sample has been taken from a normal...Ch. 8.2 - 8-28. A random sample has been taken from a normal...Ch. 8.2 - 8-29. A research engineer for a tire manufacturer...Ch. 8.2 - 8-30. An Izod impact test was performed on 20...Ch. 8.2 - Prob. 31E Ch. 8.2 - Prob. 32E Ch. 8.2 - Prob. 33E Ch. 8.2 - 8-34. An article in the Journal of Composite...Ch. 8.2 - Prob. 35E Ch. 8.2 - Prob. 36E Ch. 8.2 - Prob. 37E Ch. 8.2 - 8-38. A particular brand of diet margarine was...Ch. 8.2 - 8-39. The compressive strength of concrete is...Ch. 8.2 - 8-40. A machine produces metal rods used in an...Ch. 8.2 - 8-41. An article in Computers & Electrical...Ch. 8.2 - Prob. 42E Ch. 8.2 - 8-43. An article in Nuclear Engineering...Ch. 8.2 - Prob. 44E Ch. 8.2 - 8-45. A healthcare provider monitors the number of...Ch. 8.3 - 8-46. Q Determine the values of the following...Ch. 8.3 - Prob. 47E Ch. 8.3 - 8-48. A rivet is to be inserted into a hole. A...Ch. 8.3 - Prob. 49E Ch. 8.3 - Prob. 50E Ch. 8.3 - Prob. 51E Ch. 8.3 - Prob. 52E Ch. 8.3 - Prob. 53E Ch. 8.3 - 8-54. An article in Cancer Research [“Analyses of...Ch. 8.3 - Prob. 55E Ch. 8.3 - Prob. 56E Ch. 8.3 - Prob. 57E Ch. 8.3 - Prob. 58E Ch. 8.4 - 8-59. The fraction of defective integrated...Ch. 8.4 - Prob. 60E Ch. 8.4 - 8-61. The 2004 presidential election exit polls...Ch. 8.4 - 8-62. Of 1000 randomly selected cases of lung...Ch. 8.4 - 8-63. An article in the Journal of the American...Ch. 8.4 - 8-64. A random sample of 50 suspension helmets...Ch. 8.4 - 8-65. The Arizona Department of Transportation...Ch. 8.4 - 8-66. A study is to be conducted of the percentage...Ch. 8.4 - 8-67. The U.S. Postal Service (USPS) has used...Ch. 8.4 - Prob. 68E Ch. 8.4 - Prob. 69E Ch. 8.4 - Prob. 70E Ch. 8.4 - Prob. 72E Ch. 8.6 - 8-73. Go Tutorial Consider the tire-testing data...Ch. 8.6 - 8-74. Consider the Izod impact test described in...Ch. 8.6 - 8-75. Consider the syrup-dispensing measurements...Ch. 8.6 - Prob. 76E Ch. 8.6 - Prob. 77E Ch. 8.6 - 8-78. Consider the margarine test described in...Ch. 8.6 - Prob. 79E Ch. 8.6 - Prob. 80E Ch. 8.6 - 8-81. Consider the test on the compressive...Ch. 8.6 - Prob. 82E Ch. 8.6 - 8-83. Consider the fuel rod enrichment data...Ch. 8.6 - Prob. 84E Ch. 8.6 - 8-85. Consider the tire-testing data in Exercise...Ch. 8.6 - Prob. 86E Ch. 8.6 - Prob. 87E Ch. 8.6 - 8-88. Consider the margarine test described in...Ch. 8.6 - Prob. 89E Ch. 8.6 - Prob. 90E Ch. 8.6 - 8-91. Consider the television tube brightness data...Ch. 8.6 - Prob. 92E Ch. 8.6 - Prob. 93E Ch. 8.6 - Prob. 94E Ch. 8 - Prob. 95SE Ch. 8 - 8-96. A normal population has a known mean of 50...Ch. 8 - 8-97. A normal population has known mean μ = 50...Ch. 8 - 8-98. An article in the Journal of Sports Science...Ch. 8 - 8-99. The article “Mix Design for Optimal Strength...Ch. 8 - 8-100. An operating system for a personal computer...Ch. 8 - 8-101. Consider the hemoglobin data in Exercise...Ch. 8 - Prob. 102SE Ch. 8 - 8-103. The maker of a shampoo knows that customers...Ch. 8 - 8-104. During the 1999 and 2000 baseball seasons,...Ch. 8 - Prob. 105SE Ch. 8 - 8-106 An article in the ASCE Journal of Energy...Ch. 8 - 8-107. The tar content in 30 samples of cigar...Ch. 8 - Prob. 108SE Ch. 8 - Prob. 109SE Ch. 8 - Prob. 110SE Ch. 8 - 8-111. An article in the Journal of Applied...Ch. 8 - Prob. 112SE Ch. 8 - Prob. 113SE Ch. 8 - Prob. 114SE Ch. 8 - Prob. 115SE Ch. 8 - Prob. 116SE Ch. 8 - Prob. 117SE Ch. 8 - Prob. 118SE Ch. 8 - Prob. 119SE

Knowledge Booster

$Statistics$

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.

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS

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