A random sample of 16 students in the School of Economics and Finance was taken to estimate averagedaily commuting time for all the students. Suppose that the population times have a normal distributionwith a mean of 87 minutes and a standard deviation of 22 minutes.a) Find the probability that the average daily commuting time is fewer than 100 minutes. Also, find theprobability that it is outside the range of 85 to 95 minutes.

Answered: A random sample of 16 students in the…

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

Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 10. What is the probability of selecting someone from the general population at random who would
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
According to the Department of Health, Statistics Students sleep an average of 8 hours a night. Assume that ‘hours of sleep a night’ follows a normal distribution with a standard deviation of 1.5 hours. If a statistics student is selected at random what is the probability they sleep less than 6 hours a night? If a statistics student is selected at random what is the probability they sleep more than 8.5 hours a night? If a statistics student is selected at random what is the probability they sleep between than 5 hours and 9 hours a night?
The average age of the JYP employees is known to be 32 years and the standard deviation is 5 years. Find the probability that a random sample of 36 employees will have an average age of less than 30 years. What is the probability of 36 employees who have an average age of less than 30 years?
Suppose the weight of watermelons produced in Adana follows the normal distribution with mean 7.2 kg and standard deviation 2.4. Find the proportion of these watermelons that weight heavier than 7.5kg. If we randomly select one of these watermelons, find the probability that its weight will be less than 7kg.
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 122000 dollars. Assume the standard deviation is 41000 dollars. Suppose you take a simple random sample of 97 graduates.Find the probability that a single randomly selected salary that doesn't exceed 126000 dollars.Answer = Find the probability that a sample of size n=97n=97 is randomly selected with a mean that that doesn't exceed 126000 dollars.Answer = Enter your answers as numbers accurate to 4 decimal places.
A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.
A recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15. 1. What is the probability that a randomly selected individual would have an IQ between 97 and 112 2. What is the probability that a randomly selected individual would have an IQ between 100 and 113 3. What is the probability that a randomly selected individual would have an IQ of less than 112 and greater than 115
A farmer was interested in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 60 or more flights on average in the next 40 rows down which he drives his tractor? Round to four decimal places. OA. 0.4429 OB. 0.0569 OC. 0.9429 OD. 0.5710

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