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 9.5, Problem 90E
a.
To determine
Check whether the test is one sided or two sided.
b.
To determine
Complete the missing items.
c.
To determine
Explain whether the normal approximation is appropriate for this problem.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Given the sample space:
ΩΞ
= {a,b,c,d,e,f}
and events:
{a,b,e,f}
A = {a, b, c, d}, B = {c, d, e, f}, and C = {a, b, e, f}
For parts a-c: determine the outcomes in each of the provided sets. Use proper set
notation.
a.
(ACB)
C
(AN (BUC) C) U (AN (BUC))
AC UBC UCC
b.
C.
d.
If the outcomes in 2 are equally likely, calculate P(AN BNC).
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each
was recorded. Use a normal probability plot to assess whether the sample data could
have come from a population that is normally distributed.
Click here to view the table of critical values for normal probability plots.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
0.191 0.186 0.201 0.2005
0.203 0.210 0.234 0.248
0.260 0.273 0.281 0.290
0.305 0.310 0.308 0.311
Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is
normally distributed? Select the correct choice below and fill in the answer boxes within your choice.
(Round to three decimal places as needed.)
○ A. Yes. The correlation between the expected z-scores and the observed data, , exceeds the critical value,
. Therefore, it is reasonable to conclude that the data come from a normal population.
○…
ding question
ypothesis at a=0.01 and at a =
37. Consider the following hypotheses:
20
Ho: μ=12
HA: μ12
Find the p-value for this hypothesis test based on the following
sample information.
a. x=11; s= 3.2; n = 36
b. x = 13; s=3.2; n = 36
C.
c.
d.
x = 11; s= 2.8; n=36
x = 11; s= 2.8; n = 49
Chapter 9 Solutions
Applied Statistics and Probability for Engineers
Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - 9-3. The standard deviation of critical dimension...Ch. 9.1 - 9-4. The mean pull-off force of a connector...Ch. 9.1 - 9-5. A textile fiber manufacturer is investigating...Ch. 9.1 - 9-6. Repeat Exercise 9-5 using a sample size of n...Ch. 9.1 - 9-7. In Exercise 9-5, find the boundary of the...Ch. 9.1 - 9-8. In Exercise 9-5, calculate the probability of...Ch. 9.1 - 9-9. In Exercise 9-5, calculate the P-value if the...Ch. 9.1 - 9-10. The heat evolved in calories per grain of a...
Ch. 9.1 - Prob. 11ECh. 9.1 - 9-12. In Exercise 9-10, find the boundary of the...Ch. 9.1 - Prob. 13ECh. 9.1 - 9-14. In Exercise 9-10, calculate the P-value if...Ch. 9.1 - 9-15. A consumer products company is formulating a...Ch. 9.1 - 9-16. Repeat Exercise 9-15 assuming that the...Ch. 9.1 - 9-17. In Exercise 9-15, find the boundary of the...Ch. 9.1 - 9-18. In Exercise 9-15, calculate the probability...Ch. 9.1 - 9-19. In Exercise 9-15, calculate the P-value if...Ch. 9.1 - 9-20. A manufacturer is interested in the output...Ch. 9.1 - 9-21. Rework Exercise 9-20 when the sample size is...Ch. 9.1 - 9-22. In Exercise 9-20, find the boundary of the...Ch. 9.1 - 9-23. In Exercise 9-20, calculate the P-value if...Ch. 9.1 - 9-24. In Exercise 9-20, calculate the probability...Ch. 9.1 - 9-25. The proportion of adults living in Tempe,...Ch. 9.1 - 9-26. The proportion of residents in Phoenix...Ch. 9.1 - 9-27. A random sample of 500 registered voters in...Ch. 9.1 - 9-28. If we plot the probability of accepting H0:...Ch. 9.1 - 9-29. A quality-control inspector is testing a...Ch. 9.1 - 9-30. In the quality-control example of Exercise...Ch. 9.2 - 9-31. State the null and alternative hypothesis in...Ch. 9.2 - 9-32. A hypothesis will be used to test that a...Ch. 9.2 - Prob. 33ECh. 9.2 - 9-34. A hypothesis will be used to test that a...Ch. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - 9-37. For the hypothesis test H0: µ = 5 against...Ch. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - 9-42. The mean water temperature downstream from...Ch. 9.2 - 9-43. A manufacturer produces crankshafts for an...Ch. 9.2 - Prob. 44ECh. 9.2 - 9-45. The life in hours of a battery is known to...Ch. 9.2 - 9-46. An engineer who is studying the tensile...Ch. 9.2 - 9-47. Supercavitation is a propulsion technology...Ch. 9.2 - 9-48. A bearing used in an automotive application...Ch. 9.2 - Prob. 49ECh. 9.2 - 9-50. Humans are known to have a mean gestation...Ch. 9.2 - 9-51. The bacterial strain Acinetobacter has been...Ch. 9.3 - 9-52. A hypothesis will be used to test that a...Ch. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - 9-62. An article in the ASCE Journal of Energy...Ch. 9.3 - 9-63. A 1992 article in the Journal of the...Ch. 9.3 - 9-64. Cloud seeding has been studied for many...Ch. 9.3 - 9-65. The sodium content of twenty 300-gram boxes...Ch. 9.3 - 9-66. Consider the baseball coefficient of...Ch. 9.3 - Prob. 67ECh. 9.3 - 9-68. Reconsider the data from Medicine and...Ch. 9.3 - 9-69. Reconsider the tire testing experiment...Ch. 9.3 - 9-70. Reconsider the Izod impact test on PVC pipe...Ch. 9.3 - 9-71. Reconsider the television tube brightness...Ch. 9.3 - 9-72. Exercise 6-38 gave data on the heights of...Ch. 9.3 - 9-73. Exercise 6-41 describes testing golf balls...Ch. 9.3 - 9-74. Exercise 6-40 presented data on the...Ch. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.4 - 9-77. Consider the test of against . What are the...Ch. 9.4 - Prob. 78ECh. 9.4 - Prob. 79ECh. 9.4 - Prob. 80ECh. 9.4 - Prob. 81ECh. 9.4 - Prob. 82ECh. 9.4 - 9-83. The data from Medicine and Science in Sports...Ch. 9.4 - 9-84. The data from Technometrics described in...Ch. 9.4 - Prob. 85ECh. 9.4 - 9-86. Data from an Izod impact test was described...Ch. 9.4 - 9-87. Data for tire life was described in Exercise...Ch. 9.4 - 9-88. If the standard deviation of hole diameter...Ch. 9.4 - 9-89. Recall the sugar content of the syrup in...Ch. 9.5 - 9-90. Consider the following computer output
Test...Ch. 9.5 - Prob. 91ECh. 9.5 - 9-92. Suppose that of 1000 customers surveyed, 850...Ch. 9.5 - Prob. 93ECh. 9.5 - 9-94. A random sample of 300 circuits generated 13...Ch. 9.5 - Prob. 95ECh. 9.5 - 9-96. A manufacturer of interocular lenses will...Ch. 9.5 - 9-97. A researcher claims that at least 10% of all...Ch. 9.5 - 9-98. An article in Fortune (September 21, 1992)...Ch. 9.5 - 9-99. The advertised claim for batteries for cell...Ch. 9.5 - 9-100. A random sample of 500 registered voters in...Ch. 9.5 - 9-101. In a random sample of 85 automobile engine...Ch. 9.5 - 9-102. A computer manufacturer ships laptop...Ch. 9.5 - 9-103. In a random sample of 500 handwritten zip...Ch. 9.5 - 9-104. Construct a 90% confidence interval for the...Ch. 9.5 - 9-105. Construct a 95% lower confidence interval...Ch. 9.7 - 9-106. Consider the following frequency table of...Ch. 9.7 - 9-107. Let X denote the number of flaws observed...Ch. 9.7 - 9-108. The number of calls arriving at a...Ch. 9.7 - 9-109. Consider the following frequency table of...Ch. 9.7 - Prob. 110ECh. 9.7 - 9-111. A group of civil engineering students has...Ch. 9.7 - 9-112. Reconsider Exercise 6-87. The data were the...Ch. 9.8 - 9-113. The Hopkins Forest is a 2600-acre forest...Ch. 9.8 - 9-114. Did survival rate for passengers on the...Ch. 9.8 - 9-115. A company operates four machines in three...Ch. 9.8 - 9-116. Patients in a hospital are classified as...Ch. 9.8 - 9-117. Grades in a statistics course and an...Ch. 9.8 - 9-118. An experiment with artillery shells yields...Ch. 9.8 - 9-119. A study is being made of the failures of an...Ch. 9.8 - Prob. 120ECh. 9.8 - Prob. 121ECh. 9.9 - 9-122. Ten samples were taken from a plating bath...Ch. 9.9 - 9-123. The titanium content in an aircraft-grade...Ch. 9.9 - 9-124. The impurity level (in ppm) is routinely...Ch. 9.9 - 9-125. Consider the margarine fat content data in...Ch. 9.9 - 9-126. Consider the compressive strength data in...Ch. 9.9 - 9-127. An inspector are measured the diameter of a...Ch. 9.9 - 9-128. A new type of tip can be used in a Rockwell...Ch. 9.9 - 9-129. A primer paint can be used on aluminum...Ch. 9.10 - Prob. 130ECh. 9.10 - Prob. 131ECh. 9.10 - 9-132. The mean breaking strength of a ceramic...Ch. 9.10 - Prob. 133ECh. 9.10 - Prob. 134ECh. 9.10 - Prob. 135ECh. 9.10 - Prob. 136ECh. 9.10 - Prob. 137ECh. 9 - Prob. 138SECh. 9 - Prob. 139SECh. 9 - Prob. 140SECh. 9 - Prob. 141SECh. 9 - 9-142. An article in Fire Technology [“An...Ch. 9 - Prob. 143SECh. 9 - 9-144. A manufacturer of semiconductor devices...Ch. 9 - Prob. 145SECh. 9 - Prob. 146SECh. 9 - 9-147. Suppose that in Exercise 9-146. the...Ch. 9 - Prob. 148SECh. 9 - Prob. 149SECh. 9 - Prob. 150SECh. 9 - Prob. 151SECh. 9 - Prob. 152SECh. 9 - Prob. 153SECh. 9 - Prob. 154SECh. 9 - Prob. 155SECh. 9 - 9-156. Consider the spot weld shear strength data...Ch. 9 - Prob. 157SECh. 9 - Prob. 158SECh. 9 - Prob. 159SECh. 9 - Prob. 160SECh. 9 - Prob. 161SECh. 9 - Prob. 162SECh. 9 - Prob. 163SECh. 9 - Prob. 164SECh. 9 - Prob. 165SECh. 9 - Prob. 166SECh. 9 - Prob. 167SECh. 9 - Prob. 168SECh. 9 - Prob. 169SECh. 9 - Prob. 170SECh. 9 - Prob. 171SECh. 9 - Prob. 172SECh. 9 - 9-167. Consider the fatty acid measurements for...Ch. 9 - Prob. 174SECh. 9 - 9-175. Let X1, X2, ..., Xn be a sample from an...
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
- 13. A pharmaceutical company has developed a new drug for depression. There is a concern, however, that the drug also raises the blood pressure of its users. A researcher wants to conduct a test to validate this claim. Would the manager of the pharmaceutical company be more concerned about a Type I error or a Type II error? Explain.arrow_forwardFind the z score that corresponds to the given area 30% below z.arrow_forwardFind the following probability P(z<-.24)arrow_forward
- 3. Explain why the following statements are not correct. a. "With my methodological approach, I can reduce the Type I error with the given sample information without changing the Type II error." b. "I have already decided how much of the Type I error I am going to allow. A bigger sample will not change either the Type I or Type II error." C. "I can reduce the Type II error by making it difficult to reject the null hypothesis." d. "By making it easy to reject the null hypothesis, I am reducing the Type I error."arrow_forwardGiven the following sample data values: 7, 12, 15, 9, 15, 13, 12, 10, 18,12 Find the following: a) Σ x= b) x² = c) x = n d) Median = e) Midrange x = (Enter a whole number) (Enter a whole number) (use one decimal place accuracy) (use one decimal place accuracy) (use one decimal place accuracy) f) the range= g) the variance, s² (Enter a whole number) f) Standard Deviation, s = (use one decimal place accuracy) Use the formula s² ·Σx² -(x)² n(n-1) nΣ x²-(x)² 2 Use the formula s = n(n-1) (use one decimal place accuracy)arrow_forwardTable of hours of television watched per week: 11 15 24 34 36 22 20 30 12 32 24 36 42 36 42 26 37 39 48 35 26 29 27 81276 40 54 47 KARKE 31 35 42 75 35 46 36 42 65 28 54 65 28 23 28 23669 34 43 35 36 16 19 19 28212 Using the data above, construct a frequency table according the following classes: Number of Hours Frequency Relative Frequency 10-19 20-29 |30-39 40-49 50-59 60-69 70-79 80-89 From the frequency table above, find a) the lower class limits b) the upper class limits c) the class width d) the class boundaries Statistics 300 Frequency Tables and Pictures of Data, page 2 Using your frequency table, construct a frequency and a relative frequency histogram labeling both axes.arrow_forward
- Table of hours of television watched per week: 11 15 24 34 36 22 20 30 12 32 24 36 42 36 42 26 37 39 48 35 26 29 27 81276 40 54 47 KARKE 31 35 42 75 35 46 36 42 65 28 54 65 28 23 28 23669 34 43 35 36 16 19 19 28212 Using the data above, construct a frequency table according the following classes: Number of Hours Frequency Relative Frequency 10-19 20-29 |30-39 40-49 50-59 60-69 70-79 80-89 From the frequency table above, find a) the lower class limits b) the upper class limits c) the class width d) the class boundaries Statistics 300 Frequency Tables and Pictures of Data, page 2 Using your frequency table, construct a frequency and a relative frequency histogram labeling both axes.arrow_forwardA study was undertaken to compare respiratory responses of hypnotized and unhypnotized subjects. The following data represent total ventilation measured in liters of air per minute per square meter of body area for two independent (and randomly chosen) samples. Analyze these data using the appropriate non-parametric hypothesis test. Unhypnotized: 5.0 5.3 5.3 5.4 5.9 6.2 6.6 6.7 Hypnotized: 5.8 5.9 6.2 6.6 6.7 6.1 7.3 7.4arrow_forwardThe class will include a data exercise where students will be introduced to publicly available data sources. Students will gain experience in manipulating data from the web and applying it to understanding the economic and demographic conditions of regions in the U.S. Regions and topics of focus will be determined (by the student with instructor approval) prior to April. What data exercise can I do to fulfill this requirement? Please explain.arrow_forward
- Consider the ceocomp dataset of compensation information for the CEO’s of 100 U.S. companies. We wish to fit aregression model to assess the relationship between CEO compensation in thousands of dollars (includes salary andbonus, but not stock gains) and the following variates:AGE: The CEOs age, in yearsEDUCATN: The CEO’s education level (1 = no college degree; 2 = college/undergrad. degree; 3 = grad. degree)BACKGRD: Background type(1= banking/financial; 2 = sales/marketing; 3 = technical; 4 = legal; 5 = other)TENURE: Number of years employed by the firmEXPER: Number of years as the firm CEOSALES: Sales revenues, in millions of dollarsVAL: Market value of the CEO's stock, in natural logarithm unitsPCNTOWN: Percentage of firm's market value owned by the CEOPROF: Profits of the firm, before taxes, in millions of dollars1) Create a scatterplot matrix for this dataset. Briefly comment on the observed relationships between compensationand the other variates.Note that companies with negative…arrow_forward6 (Model Selection, Estimation and Prediction of GARCH) Consider the daily returns rt of General Electric Company stock (ticker: "GE") from "2021-01-01" to "2024-03-31", comprising a total of 813 daily returns. Using the "fGarch" package of R, outputs of fitting three GARCH models to the returns are given at the end of this question. Model 1 ARCH (1) with standard normal innovations; Model 2 Model 3 GARCH (1, 1) with Student-t innovations; GARCH (2, 2) with Student-t innovations; Based on the outputs, answer the following questions. (a) What can be inferred from the Standardized Residual Tests conducted on Model 1? (b) Which model do you recommend for prediction between Model 2 and Model 3? Why? (c) Write down the fitted model for the model that you recommended in Part (b). (d) Using the model recommended in Part (b), predict the conditional volatility in the next trading day, specifically trading day 814.arrow_forward4 (MLE of ARCH) Suppose rt follows ARCH(2) with E(rt) = 0, rt = ut, ut = στει, σε where {+} is a sequence of independent and identically distributed (iid) standard normal random variables. With observations r₁,...,, write down the log-likelihood function for the model esti- mation.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
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License