The number of vehicles arriving at a toll booth, per minute, were observed as follows:0, 3, 1, 2, 0, 1, 1, 1, 2, 0, 1, 4, 3, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0(1) Assuming that the arrival rate of vehicles at the toll booth is a Poisson process, estimatethe mean arrival rate using the method of moments.(2) Perform a chi-square test to determine the validity of the Poisson distribution at the 1%significance level.

To start, we must figure out the sample mean of the observed data. In a Poisson process, the mean…

Answered: The number of vehicles arriving at a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Solve for the:1. Mean2. Median3. Mode 4. Standard Deviation
find the are under the normal curve between Z-scores of - 2.06 and 1,91 -1.82 and 2.68 -0.57 and -1.42 Show and explain complete solution
A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 76 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents. 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 76 years? Use a 10% level of significance. What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) Find the P-value. (Round your answer to four decimal places.)
Samples are drawn from a population with mean 144 and standard deviation 43. Each sample has 12 randomly and independently chosen elements. Find the mean, uz, of the distribution of sample means.
Suppose the log-ins to a company's computer network follow a Poisson process with an average of three counts per minute. What is the mean time between counts? What is the standard deviation of the time between counts?
A car hire firm has two cars, which it hires out day by day. The number of demands for a car on each day is distributed as a Poisson distribution with mean 1.5. Calculate the proportion of days on which neither car is used and the proportion of days on which some demand is refused. (e-5 = 0.2231).
The actual monthly demand of special pizza in the past 6 months were: 449, 352, 413, 348, 290, 352 If a four-month moving average forecasting model is used to generate forecasts, what is the value of the Mean Absolute Percent Error (in percent)? Use at least 4 decimals.
In order to estimate the difference between the yearly incomes of marketing managers in the East and West of the United States, the following information was gathered: East West n1= 40 I1=72 (in $1000s) 2= 78 (in $1000s) 51 =6 (in $1000s) n2= 45 s2 = 8 (in $1000s) Develop an interval estimate for the difference between the average yearly incomes of the marketing managers in the East and West. Use a = .05. At 95% confidence, use the p-value approach and test to determine if the average a. b. yearly income of marketing managers in the East is significantly different from the West
Average monthly wages (per employee) in 4 sectors of an economy are as follows: industry: 2000 dinars, building: 2200 dinars, agriculture: 1500 dinars, services: 1800 dinars. Number of people employed in the four sectors are 5 million, 2 million, 6 million, and 2 million, respectively. Using the concept of harmonic mean compute the average monthly wages in the economy under consideration.
A normal distribution of scores has a standard deviation of 10 and a mean of 0. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. b) A score that is 10 points below the mean. c) A score that is 15 points above the mean d) A score that is 30 points below the mean. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. Convert Einstein’s IQ score to a z score.
A grouped frequency distribution has been obtained for the number of personnel working in 100 workplaces. Accordingly, the average number of personnel per enterprise is calculated as x̄ = 48.98. So what is the value of ∑ ni?

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

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