1. Suppose that a tire manufacturer believes that the lifetimes of its tires follow a normal...
1. Suppose that a tire manufacturer believes that the lifetimes
of its tires follow a normal distribution with mean 50,000 miles
and standard deviation 5,000 miles.
a) Determine the probability that a randomly selected tire lasts
for more than 57,500 miles. Also express this probability in terms
of the function phi, the cdf of a standard normal
distribution.
b) Determine the mileage such that only 25% of all tires last for
longer than the mileage you are determining. Also report the
relevant z-score.
c) Suppose that the manufacturer wants to issue a money-back
guarantee for its tires that fail to achieve a certain number of
miles. If they want 99.5% of the tires to last for longer than the
guaranteed number of miles, how many miles should they
guarantee?Show/explain how you arrive at your answer.
Homework Answers
Add Answer to:
1. Suppose that a tire manufacturer believes that the lifetimes
of its tires follow a normal...
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property...
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property that the mileage the tire lasts approximately follows a normal distribution with mean u=70,000 miles and a standard deviation o=4400 miles. a. What percent of the tires will last at least 75,000? b. Suppose Dunlop gives a warranty for tires to last 60,000 miles. What percent of the tires will last 60,000miles or less? c. What is the probability that a randomly selected Dunlop...
A tire company makes tires that have a normal distribution with a mean of 65,000 miles...
A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts no more than 62,500 miles A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts at least 68,500 miles. A tire company...
A tire manufacturer believes that the tread life of its snow tires can be described by...
A tire manufacturer believes that the tread life of its snow tires can be described by a normal model with a mean of 32,000 miles and a standard deviation of 2500 miles. Now, assume we took a sample of 26 tires. Find the probability that the tires will last an average of more than 33,500 miles. Round to three decimals.
Suppose GTC developed a new steel-belted radial tire to be sold through a national chain of...
Suppose GTC developed a new steel-belted radial tire to be sold through a national chain of distribution stores. Because the tire is a new product, Grear’s managers believe that millage guarantee offered with the tire will be an important factor in the acceptance of the product. Before finalizing the tire mileage guarantee policy, Grear’s managers want probability information about χ = number of miles the tire will last. From actual road test with the tires, Grear’s engineering group estimated that...
Need problem solving process and the steps version 2 Questions 06- 08 Suppose that a tire...
Need problem solving process and the steps
version 2 Questions 06- 08 Suppose that a tire company developed a new steel-belted radial tire. Let X be the number of miles the tires will last. From road tests, the company estimated that the mean of tire mileage is 39,000 and the standard deviation is 4,000. In addition, the mileage is normally distributed. Use the standard normal distribution table to answer the following questions. Q06 What is the probability that a tire...
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade...
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade the appropriate region. 1. The area to the left of z 1.04 2. The area between z =-34 and z-1.03 3. Find the area of zz0- 4. Dunlop Tires manufactures a tire with a lifetime that approximately follows a normal distribution with a mean of 70,000 miles and a standard deviation of 4400 miles. a. What proportion of the tires will last for a...
The Chemco Company manufactures car tires that last distances 8. The Chemco Company manufactures car tires that last distances having a normal distribution with a mean of 35,000 miles and a stand...
The Chemco Company manufactures car tires that last
distances
8. The Chemco Company manufactures car tires that last distances having a normal distribution with a mean of 35,000 miles and a standard deviation of 4275 miles. If the manufacturer wants to guarantee the tires so that only 3% will be replaced because of failure before the guaranteed number of miles, for how many miles should the tires be guaranteed? 9. A random sample of 50 cars in the drive-thru of...
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire...
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distribution is 5000 miles. Crosset Truck Company bought 48 tires and found that the mean mileage for its trucks is 59500 miles. Is Crosset’s experience different from that claimed by the manufacturer at the 0.05 significance level? For this...
A tire company makes tires that have a normal distribution with a mean of 65,000 miles...
A tire company makes tires that have a normal distribution with a mean of 65,000 miles and a standard deviation of 3000 miles prior to needing replacement. A tire that wears out after reaching the top 4% of miles lasted before needing replacement is considered very well made. Find the lowest number of miles that a tire would have to last to be considered very well made. A company sells pumpkin seeds. They advertise that they will offer you 100...
give the lower bound on the probability that the mileage for a randomly selected tire will...
give the lower bound on the
probability that the mileage for a randomly
selected tire will fall between 24000 and 26000 miles.
A manufacturer of tires wants to advertise a mileage interval that excludes no more than 10% of the mileage on tires he sells. All he knows is that, for a large number of tires tested, the mean mileage was 25,000 miles, and the standard deviation was 4000 miles. What interval would you suggest?
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property that the mileage the tire lasts approximately follows a normal distribution with mean u=70,000 miles and a standard deviation o=4400 miles. a. What percent of the tires will last at least 75,000? b. Suppose Dunlop gives a warranty for tires to last 60,000 miles. What percent of the tires will last 60,000miles or less? c. What is the probability that a randomly selected Dunlop...
A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts no more than 62,500 miles A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts at least 68,500 miles. A tire company...
Need problem solving process and the steps
version 2 Questions 06- 08 Suppose that a tire company developed a new steel-belted radial tire. Let X be the number of miles the tires will last. From road tests, the company estimated that the mean of tire mileage is 39,000 and the standard deviation is 4,000. In addition, the mileage is normally distributed. Use the standard normal distribution table to answer the following questions. Q06 What is the probability that a tire...
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade the appropriate region. 1. The area to the left of z 1.04 2. The area between z =-34 and z-1.03 3. Find the area of zz0- 4. Dunlop Tires manufactures a tire with a lifetime that approximately follows a normal distribution with a mean of 70,000 miles and a standard deviation of 4400 miles. a. What proportion of the tires will last for a...
The Chemco Company manufactures car tires that last
distances
8. The Chemco Company manufactures car tires that last distances having a normal distribution with a mean of 35,000 miles and a standard deviation of 4275 miles. If the manufacturer wants to guarantee the tires so that only 3% will be replaced because of failure before the guaranteed number of miles, for how many miles should the tires be guaranteed? 9. A random sample of 50 cars in the drive-thru of...
give the lower bound on the
probability that the mileage for a randomly
selected tire will fall between 24000 and 26000 miles.
A manufacturer of tires wants to advertise a mileage interval that excludes no more than 10% of the mileage on tires he sells. All he knows is that, for a large number of tires tested, the mean mileage was 25,000 miles, and the standard deviation was 4000 miles. What interval would you suggest?
Most questions answered within 3 hours.
-
please answer the four of the questions
4. how are warehouse distribution centers, and cross-
docking...
asked 17 minutes ago -
X Company currently makes a part and is considering buying it
from a company that has...
asked 1 hour ago -
The height of a helicopter above the ground is given by h =
2.90t3, where h...
asked 1 hour ago -
Consider the natural join of the relation R(A,B) and S(A,C) on
attribute A. Neither relations have...
asked 1 hour ago -
You are a network planner tasked with developing an IP structure
for the following networks. The...
asked 2 hours ago -
Christmas Express makes wreaths in batch sizes of 30. The
cutting & assembly process takes 4...
asked 2 hours ago -
Suppose a brewery has a filling machine that fills 12-ounce
bottles of beer. It is known...
asked 4 hours ago -
For this problem, carry at least four digits after the decimal
in your calculations. Answers may...
asked 7 hours ago -
Ask a user for three positive integer numbers. Use an input
validation loop to make sure...
asked 7 hours ago -
The most primitive form of data from data analysis perspective
is a. nominal scale b. ordinal...
asked 7 hours ago -
The number of vacancies in some hypothetical metal increases by
a factor of 5 when the...
asked 7 hours ago -
The fiduciary duty that is predicated on the concept that a
board of directors and officers...
asked 7 hours ago