Question

In: Statistics and Probability

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

Solutions

Expert Solution

solution:

middle 99% of score is

P(-z < Z < z) = 0.99

P(Z < z) - P(Z < -z) = 0.99

2 P(Z < z) - 1 = 0.99

2 P(Z < z) = 1 + 0.99 = 1.99

P(Z < z) = 1.99/ 2 = 0.995

P(Z <2.58 ) = 0.995

z  ± 2.58

Using z-score formula  

= +z * +   

= 2.58*5000+15000

= 27900

=- z * +   

= -2.58*5000+15000

= 2100

orchestra answered 2 years ago
Next > < Previous

Related Solutions

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...
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.
1. A certain town has 9,000 families.Population average mileage driven per family is 15,000 miles per...
1. A certain town has 9,000 families.Population average mileage driven per family is 15,000 miles per year and the population SD is 2,000 miles per year. Fifteen percent of these families have no cars at all. As part of an opinion survey, a simple random sample of 900 families (from this town) is chosen. What is the chance that sample average mileage driven per family is between 14,950 and 15,100 miles per year? Use the normal approximation method with continuity...
Finx, Inc., purchased a truck for $35,000. The truck is expectedto be driven 15,000 miles...
Finx, Inc., purchased a truck for $35,000. The truck is expected to be driven 15,000 miles per year over a five-year period and then sold for approximately $5,000. Determine depreciation for the first year of the truck’s useful life by the straight-line.
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 you are interested in estimating the average number of miles per gallon of gasoline...
Suppose that you are interested in estimating the average number of miles per gallon of gasoline your car can get. You calculate the miles per gallon for each of the next twenty-five times you fill the tank. Suppose that in truth, the values for your car are bell-shaped, with a mean of 20 miles per gallon and a standard deviation of 1. Find the possible sample means you are likely to get based on your sample of twenty-five observations. Consider...
Suppose that miles driven anually by cars in America are normally distributed with mean =
  Suppose that miles driven anually by cars in America are normally distributed with mean = 12; 894 miles and standard deviation = 1190 miles. (a)If one car is chosen at random, what is the probability it has driven more than 13,000 miles last year? (b) If a sample of 25 cars is taken, what is the probability that the mean of the sample is less than 13,000 miles? ***A parameter is a value for a population, and a statistic...
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...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT