The amount of time spent commuting one-way to university by students follows a normaldistribution with a mean of 22 minutes and a standard deviation of 7 minutes.a) If a student is randomly selected, what is the probability that it will take the student more than 18minutes to commute to the university?b) A university researcher wishes to know the time, t, where less than 18% of the students take tocommute to the university.c) If a random sample of 121 students are randomly selected, what is the probability that the meancommuting time for the sample is between 23 and 24 minutes?

Given X is normal Distributed with mean µ = 22.0 and standard deviation σ = 7.0 now will using…

Answered: The amount of time spent commuting…

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

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 5 inches. What is the probability that an 18-year-old man selected at random is between 65 and 67 inches tall? If a random sample of ten 18-year-old men is selected, what is the probability that the mean height x is between 65 and 67 inches?
The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their freshman year at college. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 2.7 lb and a standard deviation of 11.4 lb. Find the probability that a randomly selected male college student gains 15 lb or more during his freshman year. What does the result suggest about the claim of the "Freshman 15"? ... The percentage of freshmen that gain 15 pounds or more in their first year of university is %. (Round to one decimal place as needed.)
The number of sales that a car salesperson makes per month is normally distributed with mean 15 and standard deviation 4 . a. Find the probability that a randomly selected car salesperson will sell more than 14 cars this month.b. What is the average number of cars that a group of 25 sales people must sell to be in the 90thpercentile?
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 25 minutes. Answer the following questions: a) What is the probability of completing the exam in 120 minutes or less? b) What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? c) What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? d) Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will not complete the examination in the allotted time?
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?
6) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.
the average time spent on a watching television in a state in the USA is 140 minutes the standard deviation of 30 minutes. what is the probability that a randomly selected person watches tv between 110 and 120 minutes? Find 85 percentiles of time spent watching tv? what is the probability that a sample of 100 residents has a mean watching time greater than 142 minutes?
The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 4. A. What proportion of students consume more than 13 pizzas per month? Probability = B. What is the probability that in a random sample of size 10, a total of more than 130 pizzas are consumed? Probability=
Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.8 inches.
Jamaica Auto Service is a popular place for car service. It is also known that the mean time taken for Oervice at this station is 15 minutes per car and the standard deviation is 2.5 minutes. It is also known that the time taken for service on a car follows a normal distribution. a) What is the probability that a randomly selected customer will have to wait at most 14 minutes for service? (round to four decimal places) b) What percentage of customers will have to wait between 12 and 18 minutes for their service? (round to nearest percentage) c) Is it likely that it may take longer than 23 minutes for service? Find the likelihood of happening this and justify your answer.
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Assume domestic airfares are normally distributed with a standard deviation of $110.(1) What is the probability that a domestic airfare is $550 or more? 2) What is the probability that a domestic airfare is $250 or less?3) What is the probability that a domestic airfare is between $300 and $500? 0.6325(4) What is the cost for the 3% highest domestic airfares?
In the field of accountancy, times spent studying by students in the week before professional exams follow a Normal distribution with a standard deviation of 8 hours. A random sample of 4 students was taken in order to estimate the mean study time for the population of all students. a) What is the probability that the sample mean exceeds the population mean by more than 2 hours? b) What is the probability that the sample mean differs from the population mean by more than 4 hours? c) Suppose that a second (independent) random sample of 10 students was taken. Without doing any calculations, state whether the probabilities in parts (a) and (b) would be higher, lower or the same for the second sample.

SEE MORE QUESTIONS

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