Question

In: Advanced Math

Miles driven by millennials. In 2009, the number of miles driven per year by persons aged...

Miles driven by millennials. In 2009, the number of miles driven per year by persons aged 16–34 was 7,900. Assume that the number of miles driven was decreasing by 300 miles per year.

a. Model this information with a linear equation.

b. Use this model to predict how many miles persons aged 16–34 will drive per year in 2019.

c. Explain why this model would not be expected to hold in 2030.

Solutions

Expert Solution

a) In a year, the decrease is ; thus, in number of years, starting from , the total decrease would be . Hence, the linear model is the following: in the year , the number of miles driven is

b) Since implies , the number of miles driven (as per this linear model) is

miles.

c) In we will have implies ; therefore, if this model holds in then the number of miles driven would be

miles. But this is not compatible with real statistics ( miles a year is not a feasible data).


Related Solutions

Suppose that you want to estimate the number of miles driven per year among all drivers...
Suppose that you want to estimate the number of miles driven per year among all drivers living in Vermont and how the number of miles driven is related to a driver’s age. Suppose that you obtain a list of all drivers licensed by the State of Vermont, then take a simple random sample of 1000 drivers from the list and ask them to complete a survey regarding their driving habits during the last year and their age. A total of...
Suppose that you want to estimate the number of miles driven per year among all drivers...
Suppose that you want to estimate the number of miles driven per year among all drivers living in Vermont and how the number of miles driven is related to a driver’s age. Suppose that you obtain a list of all drivers licensed by the State of Vermont, then take a simple random sample of 1000 drivers from the list and ask them to complete a survey regarding their driving habits during the last year and their age. A total of...
the average annual miles driven per vehicle in the United States is 11.1 thousand miles, with...
the average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from the national average? Use a 5% level of significance. a. State the null and alternative hypotheses ?0: ?1: b.What calculator...
Suppose that the average number of miles driven by a CSULA students is 15,000 and the...
Suppose that the average number of miles driven by a CSULA students is 15,000 and the standard error is 5000 miles. Find the interval of miles within which 99% of the drivers fall. Please show all your work
The average number of miles driven on a full tank of gas in a certain model...
The average number of miles driven on a full tank of gas in a certain model car before its​ low-fuel light comes on is 341. Assume this mileage follows the normal distribution with a standard deviation of 39 miles. Must show ALL calculations by use of formulas ONLY, no Excel use. Complete parts a through d below. a. What is the probability​ that, before the​ low-fuel light comes​ on, the car will travel less than 369 miles on the next...
The Indiana State Police union is interested in whether the number of miles driven by each...
The Indiana State Police union is interested in whether the number of miles driven by each trooper is the same or different for the three different 8-hour shifts. Twenty Indiana state troopers were selected randomly selected on each of the three shifts and the number of miles that they traveled was recorded. a) Is this an observational or an experimental study? Please explain your answer. b) What is the population in this study? 20 Indiana troopers in each shift. All...
According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200...
According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200 with a standard deviation of 3800 miles. A resident of the state of Montana believes the drivers in Montana drive more than the national average. She obtains a random sample of 35 drivers from a list of registered drivers in the state and finds the mean number of miles driven annually for these drivers to be 12,895.90. Is there sufficient evidence to show that...
According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200...
According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200 with a standard deviation of 3800 miles. A resident of the state of Montana believes the drivers in Montana drive more than the national average. She obtains a random sample of 35 drivers from a list of registered drivers in the state and finds the mean number of miles driven annually for these drivers to be 12,895.90. Is there sufficient evidence to show that...
In the past few weeks we have learned that the number of miles driven has fallen...
In the past few weeks we have learned that the number of miles driven has fallen due to people staying at home during the coronavirus pandemic. Insurers are offering auto insurance rebates to policyholders due to the decrease in number of miles driven. New research however indicates that this does not tell the entire driving story. Although miles driven and traffic congestion are falling, both the accident rate and severity of accidents seems to be rising. Please explain what’s happening...
A leasing firm claims that the mean number of miles driven annually, μ, in its leased...
A leasing firm claims that the mean number of miles driven annually, μ, in its leased cars is less than 12700 miles. A random sample of 25 cars leased from this firm had a mean of 12031 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 2800 miles. Assume that the population is normally distributed. Is there support for the firm's claim at the 0.01 level...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT