Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 5.2, Problem 5.3E
To determine
To find approximate
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Cycles to
failure
Position in
ascending
order
0.5
f(x))
(x;)
Problem 44
Marsha, a renowned cake scientist, is trying to determine how long different cakes can survive intense fork attacks before collapsing into crumbs.
To simulate real-world cake consumption, she designs a test where cakes are subjected to repeated fork stabs and bites, mimicking the brutal
reality of birthday parties. After rigorous testing, Marsha records 10 observations of how many stabs each cake endured before structural failure.
Construct P-P plots for (a.) a normal distribution, (b.) a lognormal distribution, and (c.) a Weibull distribution (using the information included in the
table below). Which distribution seems to be the best model for the cycles to failure for this material? Explain your answer in detail.
Observation
Empirical
cumulative
Probability distribution
Cumulative distribution
Inverse of cumulative
distribution F-1 (-0.5)
F(x))
(S)
n
4
3
1
0.05
9
5
2
0.15
7
7
3
0.25
1
10
4
0.35
3
12
5
0.45
Normal…
Problem 3
In their lab, engineer Daniel and Paulina are desperately trying to perfect time travel. But the problem is that
their machine still struggles with power inconsistencies-sometimes generating too little energy, other times
too much, causing unstable time jumps. To prevent catastrophic misjumps into the Jurassic era or the far
future, they must calibrate the machine's power output. After extensive testing, they found that the time
machine's power output follows a normal distribution, with an average energy level of 8.7 gigawatts and a
standard deviation of 1.2 gigawatts.
The Time Travel Safety Board has set strict guidelines: For a successful time jump, the
machine's power must be between 8.5 and 9.5 gigawatts. What is the probability that a randomly
selected time jump meets this precision requirement?
Daniel suggests that adjusting the mean power output could improve time-travel accuracy.
Can adjusting the mean reduce the number of dangerous misjumps? If yes, what should the…
Problem 5 (
Marybeth is also interested in the experiment from Problem 2 (associated with the enhancements for Captain
America's shield), so she decides to start a detailed literature review on the subject. Among others, she found
a paper where they used a 2"(4-1) fractional factorial design in the factors: (A) shield material, (B) throwing
mechanism, (C) edge modification, and (D) handle adjustment. The experimental design used in the paper is
shown in the table below.
a.
Run
A
B
с
D
1
(1)
-1
-1
-1
1
2
a
1
-1
-1
1
3
bd
-1
1
-1
1
4
abd
1
1
-1
1
5
cd
-1
-1
1
-1
6
acd
1
-1
1
-1
7
bc
-1
1
1
-1
abc
1
1
1
-1
paper?
s) What was the generator used in the 2"(4-1) fractional factorial design described in the
b.
Based on the resolution of this design, what do you think about the generator used in the
paper? Do you think it was a good choice, or would you have selected a different one? Explain your
answer in detail.
Chapter 5 Solutions
Introduction to Business Statistics
Ch. 5.2 - The president of a computer manufacturing firm...Ch. 5.2 - Prob. 5.2ECh. 5.2 - Prob. 5.3ECh. 5.2 - Prob. 5.4ECh. 5.2 - Regarding Exercise 5.4, how might an observer...Ch. 5.2 - Prob. 5.6ECh. 5.2 - Prob. 5.7ECh. 5.2 - Prob. 5.8ECh. 5.2 - If the odds are 4:7 that an event will occur, what...Ch. 5.3 - A sample space includes the events A. B. and C....
Ch. 5.3 - A sample space includes the events A, B, and C....Ch. 5.3 - The following contingency table of frequencies is...Ch. 5.3 - Using the table in Exercise 5.12, how many victims...Ch. 5.3 - Using the table in Exercise 5.12, what is the...Ch. 5.3 - Prob. 5.15ECh. 5.3 - Using the table in Exercise 5.15, assume that one...Ch. 5.3 - The owner of a McDonald’s restaurant in France is...Ch. 5.3 - Prob. 5.18ECh. 5.3 - According to data from the U.S. Energy Information...Ch. 5.3 - There are 100 males and 120 females in the...Ch. 5.4 - A financial advisor frequently holds investment...Ch. 5.4 - A survey of employees at a large company found the...Ch. 5.4 - In 2008, McDonald’s had 31,967 restaurants...Ch. 5.4 - For three mutually exclusive events...Ch. 5.4 - It has been reported that the 49,600 employees of...Ch. 5.4 - In 2003, Intergy Corporation had 2,631,752...Ch. 5.4 - According to the Bureau of Labor Statistics, there...Ch. 5.4 - Using the information presented in the table in...Ch. 5.4 - Using the infomation presented in the table in...Ch. 5.5 - What is the difference between a marginal...Ch. 5.5 - Prob. 5.31ECh. 5.5 - Prob. 5.32ECh. 5.5 - It has been reported that 57% of U.S. households...Ch. 5.5 - A fair coin is tossed three times. What is the...Ch. 5.5 - A kitchen appliance has 16 working parts, each of...Ch. 5.5 - An optometry practitioner group has found that...Ch. 5.5 - Through April 30 of the 2009 filing season, 15.8%...Ch. 5.5 - Of employed U.S. adults age 25 or older, 90.4%...Ch. 5.5 - A taxi company in a small town has two cabs. Cab A...Ch. 5.5 - Using the table in Exercise 5.12, calculate the...Ch. 5.5 - Charlie has read a survey result that says 60% of...Ch. 5.5 - Prob. 5.42ECh. 5.5 - Based on the information in Exercise 5.21, if the...Ch. 5.5 - Based on the information in Exercise 5.22, if a...Ch. 5.6 - For U.S. live births, P(boy) and P(girl) are...Ch. 5.6 - Using the information in Exercise 5.45, assume...Ch. 5.6 - A magician has two coins: One is unbalanced and...Ch. 5.6 - For the information provided in Exercise 5.39, the...Ch. 5.6 - Machine A produce 3% defectives, machine B produce...Ch. 5.7 - A tax accountant has three choices for the method...Ch. 5.7 - A committee consists of eight members, each of...Ch. 5.7 - Ten prominent citizens have been nominated for a...Ch. 5.7 - Prob. 5.53ECh. 5.7 - A state’s license plate has 6 positions, each of...Ch. 5.7 - When we are considering n objects taken r at a...Ch. 5.7 - An investment counselor would like to meet with 12...Ch. 5.7 - Flow many different combinations are possible if 6...Ch. 5.7 - A roadside museum has 25 exhibits but enough space...Ch. 5.7 - A sales representative has 35 customers throughout...Ch. 5 - It has been estimated that the odds of being...Ch. 5 - A fast-food chain gives each customer a coupon,...Ch. 5 - For the situation in Exercise 5.61, what is the...Ch. 5 - The “daily number” of a state lottery is a 3-digit...Ch. 5 - The U.S. Bureau of Justice released the following...Ch. 5 - For the three perpetrators in Exercise 5.64,...Ch. 5 - Dave has been arrested for arson and has been...Ch. 5 - A firm has two computer systems available for...Ch. 5 - An industrial hoist is being used in an emergency...Ch. 5 - The following relative frequency distribution...Ch. 5 - Collecting data on traffic accident fatalities,...Ch. 5 - During fiscal 1995, Ashland Exploration drilled 7...Ch. 5 - Avis, Inc., has reported that its fleet consists...Ch. 5 - Data from the Federal Bureau of Investigation show...Ch. 5 - Of the participants in a corporate meeting. 20%...Ch. 5 - Of the adults in Jefferson Count, 10% have had CPR...Ch. 5 - Over the years, a realtor estimates that 50% of...Ch. 5 - Prob. 5.77CECh. 5 - Prob. 5.78CECh. 5 - When a machine is properly calibrated, 0.5% of its...Ch. 5 - In examining borrower characteristics versus loan...Ch. 5 - Prob. 5.81CECh. 5 - A corporate board of directors consisting of 15...Ch. 5 - Prob. 5.83CECh. 5 - A test to compare the taste of 6 soft drinks is...Ch. 5 - A certain brand of bicycle lock requires that each...
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
- Suppose we wish to test the hypothesis that women with a sister’s history of breast cancer are at higher risk of developing breast cancer themselves. Suppose we assume that the prevalence rate of breast cancer is 3% among 60- to 64-year-old U.S. women, whereas it is 5% among women with a sister history. We propose to interview 400 women 40 to 64 years of age with a sister history of the disease. What is the power of such a study assuming that the level of significance is 10%? I only need help writing the null and alternative hypotheses.arrow_forward4.96 The breaking strengths for 1-foot-square samples of a particular synthetic fabric are approximately normally distributed with a mean of 2,250 pounds per square inch (psi) and a standard deviation of 10.2 psi. Find the probability of selecting a 1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.4.97 Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15 1-foot sections is obtained, and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, describe the sampling distribution forybased on random samples of 15 1-foot sections of new fabricarrow_forwardUne Entreprise œuvrant dans le domaine du multividéo donne l'opportunité à ses programmeurs-analystes d'évaluer la performance des cadres supérieurs. Voici les résultats obtenues (sur une échelle de 10 à 50) où 50 représentent une excellente performance. 10 programmeurs furent sélectionnés au hazard pour évaluer deux cadres. Un rapport Excel est également fourni. Programmeurs Cadre A Cadre B 1 34 36 2 32 34 3 18 19 33 38 19 21 21 23 7 35 34 8 20 20 9 34 34 10 36 34 Test d'égalité des espérances: observations pairéesarrow_forward
- A television news channel samples 25 gas stations from its local area and uses the results to estimate the average gas price for the state. What’s wrong with its margin of error?arrow_forwardYou’re fed up with keeping Fido locked inside, so you conduct a mail survey to find out people’s opinions on the new dog barking ordinance in a certain city. Of the 10,000 people who receive surveys, 1,000 respond, and only 80 are in favor of it. You calculate the margin of error to be 1.2 percent. Explain why this reported margin of error is misleading.arrow_forwardYou find out that the dietary scale you use each day is off by a factor of 2 ounces (over — at least that’s what you say!). The margin of error for your scale was plus or minus 0.5 ounces before you found this out. What’s the margin of error now?arrow_forward
- Suppose that Sue and Bill each make a confidence interval out of the same data set, but Sue wants a confidence level of 80 percent compared to Bill’s 90 percent. How do their margins of error compare?arrow_forwardSuppose that you conduct a study twice, and the second time you use four times as many people as you did the first time. How does the change affect your margin of error? (Assume the other components remain constant.)arrow_forwardOut of a sample of 200 babysitters, 70 percent are girls, and 30 percent are guys. What’s the margin of error for the percentage of female babysitters? Assume 95 percent confidence.What’s the margin of error for the percentage of male babysitters? Assume 95 percent confidence.arrow_forward
- You sample 100 fish in Pond A at the fish hatchery and find that they average 5.5 inches with a standard deviation of 1 inch. Your sample of 100 fish from Pond B has the same mean, but the standard deviation is 2 inches. How do the margins of error compare? (Assume the confidence levels are the same.)arrow_forwardA survey of 1,000 dental patients produces 450 people who floss their teeth adequately. What’s the margin of error for this result? Assume 90 percent confidence.arrow_forwardThe annual aggregate claim amount of an insurer follows a compound Poisson distribution with parameter 1,000. Individual claim amounts follow a Gamma distribution with shape parameter a = 750 and rate parameter λ = 0.25. 1. Generate 20,000 simulated aggregate claim values for the insurer, using a random number generator seed of 955.Display the first five simulated claim values in your answer script using the R function head(). 2. Plot the empirical density function of the simulated aggregate claim values from Question 1, setting the x-axis range from 2,600,000 to 3,300,000 and the y-axis range from 0 to 0.0000045. 3. Suggest a suitable distribution, including its parameters, that approximates the simulated aggregate claim values from Question 1. 4. Generate 20,000 values from your suggested distribution in Question 3 using a random number generator seed of 955. Use the R function head() to display the first five generated values in your answer script. 5. Plot the empirical density…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
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 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
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY