# Statistics

A car manufacturer is interested in conducting a study to estimate the mean stopping distance for a new type of brakes when used in a car that is traveling at 60 miles per hour. These new brakes will be installed on cars of the same model and the stopping distance will be observed. The cost of each observation is \$100. A budget of \$12,000 is available to conduct the study and the goal is to carry it out in the most economical way possible. Preliminary studies indicate that s=12 feet for stopping distances.

(a) Are sufficient funds available to estimate the mean stopping distance to within 2 feet of the true mean stopping distance with 95% confidence? Explain your answer.

(b) A regulatory agency requires a 95% level of confidence for an estimate of mean stopping distance that is within 2 feet of the true mean stopping distance. The car manufacturer cannot exceed the budget of \$12,000 for the study. Discuss the consequences of these constraints.

1. 👍 0
2. 👎 0
3. 👁 448
1. a) there are not sufficient funds. THe required sample size is 139 cars, and if each car will cost \$100, then the total cost for estimating the mean stopping distance to within 2 feet of the true mean is \$139,000, which is more than the budget will allow.

b) \$12,000 is not enough money to be within 2 feet of the true mean with 95% confidence. \$12,000 only allows for 120 cars to be tested, and 139 are required. Given these constraints, the consequences are that the company will not be 95% confident on the mean stopping distance for their brakes, which could lead to car accidents and possible lawsuits.

1. 👍 1
2. 👎 0

## Similar Questions

1. ### Statistics

A car manufacturer is interested in conducting a study to estimate the mean stopping distance for a new type of brakes when used in a car that is traveling at 60 miles per hour. These new brakes will be installed on cars of the

asked by John on November 28, 2009
2. ### statistics

im so confused! please help! 3. A car manufacturer is interested in conducting a study to estimate the mean stopping distance for a new type of brakes when used in a car that is traveling at 60 miles per hour. These new brakes

asked by george on March 4, 2011
3. ### Math

the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in

asked by Andrea on February 23, 2018
4. ### math

If a car is speeding down a road at 40 (mph), how long is the stopping distance compared to the stopping distance if the driver were going at the posted speed limit of 25 ? Express your answer as a multiple of the stopping

asked by Em on September 8, 2011
5. ### Physics

A race car can be slowed with a constant acceleration of -11 m/s^2 a. If the car is going 55 m/s, how many meters will it travel before it stops? b. How many meters will it take to stop a car going twice as fast? According to one

asked by Priscilla on December 28, 2009
6. ### Physics

A car traveling at 20 m/s applies the brakes. The coefficients of static and kinetic friction between the tires and the road are 0.80 and 0.50 respectively. (A) Determine the stopping distance if the car is able to stop as quickly

asked by Brittney on October 25, 2012
7. ### Stats -Math

1. We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent governor. What is the minimum size sample needed to estimate the population proportion with a

asked by Lauren on December 12, 2016
8. ### Physics

A 1500 kg automobile travels at a speed of 105 km/h along a straight concrete highway. Faced with an emergency situation, the driver jams on the brakes, and the car skids to a stop. (a) What will be the car's stopping distance for

asked by Lala on October 4, 2017
9. ### Physics

A 1500 kg automobile travels at a speed of 105 km/h along a straight concrete highway. Faced with an emergency situation, the driver jams on the brakes, and the car skids to a stop. (a) What will be the car's stopping distance for

asked by Tom on September 21, 2010
10. ### physics

A 1500 kg automobile travels at a speed of 105 km/h along a straight concrete highway. Faced with an emergency situation, the driver jams on the brakes, and the car skids to a stop. (a) What will be the car's stopping distance for

asked by Tom on September 20, 2010

More Similar Questions