A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like toestimate the mean monthly mileage, μ, of cars rented in the U.S. over the past year. The consumer group plans to choose arandom sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample.Using the value 700 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is theminimum sample size needed in order for the consumer group to be 99% confident that its estimate is within 175 miles per monthof μ?Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that itis the minimum whole number that satisfies the requirements).(If necessary, consult a list of formulas.)0XS

standard deviation()=700Margin of error(E)=175Confidence Level=99%

Answered: A consumer advocacy group is doing 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

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According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 110 whites surveyed, the mean life span was 48.2 years with a standard deviation of 11.2 years and of the 95 nonwhites, the mean life span was 39.3 years with a standard deviation of 16 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: Is it safe to assume thatnw≤5% of all white people born in 1900 andnnw≤5% of all nonwhite people born in 1900? No Yes Is nw≥30 and nnw≥30 ? No Yes Test the claim: Determine the null and alternative hypotheses. H0: μw μnw Ha: μw μnw Determine the test statistic. Round to four…
According to a recent report the battery life for a new line of laptop computers has a mean of 9 hours with a standard deviation of 2.4 hours. If battery life is normally distributed what percentage of new laptops will last between 8 and 11 hours on a single charge?
You may need to use the appropriate appendix table or technology to answer this question. The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $0.25 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. (Round your answers up to the nearest whole number.) (a) The desired margin of error is $0.10. (b) The desired margin of error is $0.06. (c) The desired margin of error is $0.04.
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
A survey reported that in a recent year, the mean serum cholesterol level in milligrams per deciliter for US adults was 204 with a standard deviation of 37. A random sample of 116 adults was chosen. Find the 33rd percentile of the sample mean.
Question 7.2.9 A chemist has a 5-gallon sample of river water taken downstream from the outflow of a chemical plant. He is concerned about the concentration, c (in parts per million), of a certain toxic substance in the water. He wants to take several measurements, find the mean concentration of the toxic substance for this sample, and have a 95% chance of being within 5 parts per million of the true mean value of c. If the concentration of the toxic substance in all measurements is normally distributed with o = 12.50 parts per million, what is the minimum integer number nof measurements needed to achieve this goal?
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, μ, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate μ using the mean of the sample.Using the value 750 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 99% confident that its estimate is within 135 miles per month of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
The gas mileage for a new model of car is normally distributed, with a standard deviation of 3.5 miles per gallon. If only 4% of the cars have a gas mileage of above 20 mpg, what is the mean of the distribution
The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. are younger than 30 years old? Round your answer to the nearest tenth of a percent.
What is the relationship between the standard deviation and variance?

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