Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 9.4, Problem 1SA
To determine
To solve: For Monte Carlo simulation with using SDE initial value problem with giving condition
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The manager of the city pool has scheduled extra lifeguards to be on staff for Saturdays. However, he suspects that Fridays may be more popular than the other weekdays as well. If so, he will hire extra lifeguards for Fridays, too. In order to test his theory that the daily number of swimmers varies on weekdays, he records the number of swimmers each day for the first week of summer. Test the manager’s theory at the 0.0250.025 level of significance.
Swimmers at the City Pool
Monday
Tuesday
Wednesday
Thursday
Friday
Number
4141
6868
6464
5757
6969
Copy Data
Step 1 of 4:
State the null and alternative hypotheses in terms of the expected proportion for each day. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary.
H0: pi=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
Step 2 of 4:
Calculate the expected value for the number of swimmers on Tuesday. Enter your answer as a fraction or a decimal rounded to three decimal places.
Step 3 of 4:
Compute the value of the…
A researcher claims that a post-lunch nap decreases the amount of time it takes males to sprint 20 meters after a night with only 4 hours of sleep. The lable snoWS
amounts of time (in seconds) it took for 10 males to sprint 20 meters after a night with only 4 hours of sleep when they did not take a post-lunch nap and when they dic
take a post-lunch nap. At a = 0.01, is there enough evidence to support the researcher's claim? Assume the samples are random and dependent, and the population is
normally distributed. Complete parts (a) through (e) below.
7
10
Male
Sprint time (without
nap)
Sprint time (with nap)
1
2
3
4
3.98 3.92 4.09 3.93 4.06 4.01 4.03 4.09 4.01 3.96
3.84 3.85 4.00 3.88 4.04 3.88 3.87 3.97 3.92 3.82
(b) Find the critical value(s) and identify the rejection region(s).
Select the correct choice below and fill in any answer boxes to complete your choice.
(Round to three decimal places as needed.)
O A. t
O B. t 2.821
(c) Calculate d and sg.
d = 0.101 (Round to three decimal…
1) Perform the indicated mathematical operations. State the uncertainty of the final answer as ±
1-digit variation in the least significant digit. (remember that the last significant digit's place
holder is the most uncertain digit!)
7.700 x 2.1 =
uncertainty:
2.132 + 17 + 4.04 =
uncertainty:
27000 + 500 =
uncertainty:
30.0 x 50.0 =
uncertainty:
(9.6 x 107)(1.24 x 10 3)
1.897 x 102
uncertainty:
Chapter 9 Solutions
Numerical Analysis
Ch. 9.1 - Find the period of the linear congruential...Ch. 9.1 - Find the period of the LCG defined by a=4,b=0,m=9...Ch. 9.1 - Approximate the area under the curve y=x2 for 0x1,...Ch. 9.1 - Approximate the area under the curve y=1x for 0x1,...Ch. 9.1 - Prob. 5ECh. 9.1 - Prove that u1=x21+x22 in the Box-Muller Rejection...Ch. 9.1 - Implement the Minimal Standard random number...Ch. 9.1 - Implement randu and find the Monte Carlo...Ch. 9.1 - (a) Using calculus, find the area bounded by the...Ch. 9.1 - Carry out the steps of Computer Problem 3 for the...
Ch. 9.1 - Use n=104 pseudo-random points to estimate the...Ch. 9.1 - Use n=104 pseudo-random points to estimate the...Ch. 9.1 - (a) Use calculus to evaluate the integral 01x2x,...Ch. 9.1 - Prob. 8CPCh. 9.1 - Prob. 9CPCh. 9.1 - Devise a Monte Carlo approximation problem that...Ch. 9.2 - Prob. 1CPCh. 9.2 - Prob. 2CPCh. 9.2 - Prob. 3CPCh. 9.2 - Prob. 4CPCh. 9.2 - Prob. 5CPCh. 9.2 - One of the best-known Monte Carlo problems is the...Ch. 9.2 - Prob. 7CPCh. 9.2 - Prob. 8CPCh. 9.2 - Prob. 9CPCh. 9.3 - Design a Monte Carlo simulation to estimate the...Ch. 9.3 - Calculate the mean escape time for the random...Ch. 9.3 - In a biased random walk, the probability of going...Ch. 9.3 - Prob. 4CPCh. 9.3 - Design a Monte Carlo simulation to estimate the...Ch. 9.3 - Calculate the mean escape time for Brownian motion...Ch. 9.3 - Prob. 7CPCh. 9.4 - Use Itos formula to show that the solutions of the...Ch. 9.4 - Use Itos formula to show that the solutions of the...Ch. 9.4 - Use Itos formula to show that the solutions of the...Ch. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Use the Euler-Maruyama Method to find approximate...Ch. 9.4 - Use the Euler-Maruyama Method to find approximate...Ch. 9.4 - Apply the Euler-Maruyama Method with step size...Ch. 9.4 - Prob. 4CPCh. 9.4 - Prob. 5CPCh. 9.4 - Prob. 6CPCh. 9.4 - Use the Milstein Method to find approximate...Ch. 9.4 - Prob. 8CPCh. 9.4 - Prob. 9CPCh. 9.4 - Prob. 10CPCh. 9.4 - Prob. 11CPCh. 9.4 - Prob. 12CPCh. 9.4 - Prob. 1SACh. 9.4 - Prob. 2SACh. 9.4 - Prob. 3SACh. 9.4 - Prob. 4SACh. 9.4 - Compare your approximation in step 4 with the...Ch. 9.4 - Prob. 6SA
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- A researcher claims that a post-lunch nap decreases the amount of time it takes males to sprint 20 meters after a night with only 4 hours of sleep. The table shows the amounts of time (in seconds) it took for 10 males to sprint 20 meters after a night with only 4 hours of sleep when they did not take a post-lunch nap and when they did take a post-lunch nap. At α=0.05, is there enough evidence to support the researcher's claim? Assume the samples are random anddependent, and the population is normally distributed. Complete parts (a) through (e) below.arrow_forwardA research center claims that 29% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 31% say that they would travel into space on a commercial flight if they could afford it. At a=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who would travel into space on a commercial flight if they could afford it is not ______%. B. No more than ______% of adults in the country would travel into space on a commercial flight if they could afford it. C. ______% of adults in the country would travel into space on a commercial flight if they could afford it. D. At least ______% of…arrow_forwardA researcher claims that a post-lunch nap decreases uie amount of time it takes males to sprint 20 meters after a night with only 4 hours of sleep. The table shows the amounts of time (in seconds) it took for 10 males to sprint 20 meters after a night with only 4 hours of sleep when they did not take a post-lunch nap and when they did take a post-lunch nap. At a=0.05, is there enough evidence to support the researcher's claim? Assume the sampies are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Male 3 4 6. 7. 8. 9. 10 Sprint time (without nap) Sprint time (with nap) 3.89 4.01 3.95 3.87 3.94 3.96 3.96 3.78 3.87 3.93 4.01 4.07 4.02 3.94 3.97 4.08 4.09 3.93 3.96 4.06 mu B. Anight with only 4 hours of sleep increases the amount of time i akes males to sprint 20 meters. C, A post-lunch nap decreases the amount of time it takes males to sprint 20 meters. O D. A post-lunch nap increases the amount of time it takes males to sprint 20…arrow_forward
- Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled by P = 40 + 20x / 1 + .05x where x is the time in years since introducing the deer. Determine the time required for the deer population to reach 200.arrow_forwardA medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 400 adults in that country, 84% think that healthy children should be required to be vaccinated. At a=0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H, and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not % O B. Less than % of adults in the country think that healthy children should be required to be vaccinated. O C. More than % of adults in the country think that healthy children should be required to be vaccinated. O D. % of adults in the country think that healthy children should be required to be…arrow_forwardA humane society claims that less than 68% of households in a certain country own a pet. In a random sample of 400 households in that country, 264 say they own a pet. At α=0.05, is there enough evidence to support the society's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. ______% of households in the country own a pet. B. More than ______% of households in the country own a pet. C. The percentage of households in the country that own a pet is not ______%. D. Less than ______% of households in the country own a pet. (b) Use technology to find the P-value. P = _______. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.arrow_forward
- An education researcher claims that 54% of college students work year-round. In a random sample of 600 college students, 324 say they work year-round. At α=0.10, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of college students work year-round. B. At most nothing% of college students work year-round. C. The percentage of college students who work year-round is not nothing%. D. At least nothing% of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to…arrow_forwardA humane society claims that less than 62% of households in a certain country own a pet. In a random sample of 700 households in that country, 413 say they own a pet. At α=0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. More than enter your response here% of households in the country own a pet. B. The percentage households in the country that own a pet is not enter your response here%. C. enter your response here% of households in the country own a pet. D. Less than 6262% of households in the country own a pet. Your answer is correct. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State H0 and Ha.…arrow_forwardA humane society claims that less than 62% of households in a certain country own a pet. In a random sample of 700 households in that country, 413 say they own a pet. At α=0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. More than enter your response here% of households in the country own a pet. B. The percentage households in the country that own a pet is not enter your response here%. C. enter your response here% of households in the country own a pet. D. Less than enter your response here% of households in the country own a pet.arrow_forward
- A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 217, 218, and 218. Using α = 0.025, has the shelf life of the cake mix increased?arrow_forwardA researcher claims that a post-lunch nap decreases the amount of time it takes males to sprint 20 meters after a night with only 4 hours of sleep. The table shows the amounts of time (in seconds) it took for 10 males to sprint 20 meters after a night with only 4 hours of sleep when they did not take a post-lunch nap and when they did take a post-lunch nap. At α=0.10 is there enough evidence to support the researher's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Male 1 2 3 4 5 6 7 8 9 10 Sprint time (without nap) 3.92 4.05 4.03 4.06 4.09 3.93 4.02 4.03 3.97 4.09 Sprint time (with nap) 3.80 3.99 3.94 3.99 4.06 3.81 3.87 3.90 3.85 3.96 (a) Identify the claim and state H0 and Ha. What is the claim? A. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20…arrow_forwardA research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At a= 0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Hg and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) C A. 31 % of adults in the country would travel into space on a commercial flight if they could afford it. O B. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not %. O C. At least % of adults in the country would travel into space on a commercial flight if they could afford it. O D. No more than % of adults in the country would…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License