Q2: According to the American Automobile Association (AAA), the average cost of a gallon of regularunleaded fuel at gas stations in August 2010 was $2.58. Assume that the standard deviation of such costs is$0.15. Suppose that a random sample of n = 100 gas stations is selected from the population and the cost pergallon of regular unleaded fuel is determined for each.What is the approximate probability that the sample has a mean fuel cost that exceeds $2.7 and between $2 and$3?

The question is about sampling dist. Given : Popl. mean cost of a gallon of regular unleaded fuel (…

Answered: Q2: According to the American…

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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Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation of 20.2. Find the probability that a randomly selected adult has an IQ greater than 136.4
A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. Find the probability that 2 of the next 3 trips will take at least 1/2 hour. Choices: a. 0.3974 b. 0.0571 c. 0.0092 d. 0.0004
A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
According to the American Automobile Association (AAA), the average cost of a gallon of regular unleaded fuel at gas stations in August 2010 was $2.58. Assume that the standard deviation of such costs is $0.15. Suppose that a random sample of n = 100 gas stations is selected from the population and the cost per gallon of regular unleaded fuel is determined for each. What is the approximate probability that the sample has a mean fuel cost that exceeds $2.7 and between $2 and $3? do it in excel if needed
A manufacturer advertises that the average life of batteries produced by his firm is at least 12 months. The consumer board disagrees, and claims that the average life of the batteries is less than 12 months. The consumer board test a random sample of 9 batteries and find that the mean life is 10.6 months with a standard deviation of 2. The consumer board's alternative hypothesis is: A. The average life of the population of batteries is 12 months. B. The average life of the population of batteries is less than 12 months. C. The average life of the population of batteries is more than 12 months. D. The average life of the population of batteries is at least 12 monthsThe manufacturer of 'Road King' tyres claim that their tyres last an average of 70,000km or more. The Consumer Board suspects that this claim may be false (they have received some complaints) and decide to test the manufacturer's claim. The Consumer Board took a sample of size 500 from the population. They ran the…
The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 30 and a standard deviation of 1. What is the probability that the MPG for a randomly selected compact car would be less than 28?
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 poundsb. More than 56 poundsc. Between 55 and 57 pounds
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