Problem 6The average travel time (one way) from National University to Robinsons Magnolia is25 minutes according to a survey conducted by NU engineering students. If weassume that commuting times are normally distributed and that the standard deviationis 6.1 minutes, what is the probability that a randomly selected commuter spendsmore than 30 minutes from NU to Robinsons Magnolia? Less than 18 minutes?

Answered: Image /qna-images/answer/c82dec36-b979-4262-adf2-a9c91185e24a.jpg

Answered: Problem 6 The average travel time (one…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Megah corporation gives each of its employees an aptitude test. The scores on test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken. What are the mean and standard deviation values for the sample taken? What is the probability that the average aptitude test score in the sample will be between 70 to 83 marks? What is the probability that the average aptitude test score in the sample will be equal or greater than 83 marks? Find the value of C, if P (Z ≥ C) = 0.015
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?
A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. What is the probability that the sample mean is less than 163? Give your answer to four decimal places.
11. If the scores for an IQ Test have a mean of 100 and a standard deviation of 15, find the probability of a student having an IQ score that will fall below 112.
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.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Suppose that home prices (in thousands of dollars) in a certain region have a mean of 360 and a standard deviation of 180. A realtor randomly selects a sample of 90 homes in the region. Estimate the probability that the sample mean home price from the realtor's data is greater than 400 (thousand dollars). You must justify your solution, and note any assumptions you are making.
Suppose the mean income of firms in the industry for a year is 2525 million dollars with a standard deviation of 77 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 4040 million dollars? Round your answer to four decimal places.
Suppose a college admissions test is normally distributed with a mean of 500 and a standard deviation of 100. If a student scores in the 75th percentile, what is their test score? If the top 10% of test takers are eligible for a scholarship, what is the minimum score needed to qualify for the scholarship? If the test is taken twice by the same student, and the scores are independent, what is the probability that their average score is above 550?
If the distribution of the population has a nonzero standard deviation and mean 12 then the probability that an individual data value will be greater than 14 is always less than the probability that the mean of 45 randomly selected data values will be greater than 14. True or False
Tom works for a fruit company and found that the weight of pineapples are normally distributed with mean is 500 grams and standard deviation is 100 grams. If he randomly chooses 16 pineapples and measure their weights, what is the probability that the average weight is more than 475 grams?
Suppose the mean income of firms in the industry for a year is 80 million dollars with a standard deviation of 55 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn more than 88 million dollars? Round your answer to four decimal places.

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