Question

The Layton Tire and Rubber Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67900 with a standard deviation of 2050 miles and that the distribution of miles follows the normal distribution. They want to set the minimum guarantee mileage so that no more than 4 percent of tires will be replaced. What minimum guaranteed mileage should Layton announce?

Answer #1

Suppose a tire manufacturer wants to set a mileage guarantee on
its new XB 70 tire. Tests revealed that the tire's mileage is
normally distributed with a mean of 47,900 miles and a standard
deviation of 2,050 miles. The manufacturer wants to set the
guaranteed mileage so that no more than 10% of the tires will have
to be replaced. What guaranteed mileage should the manufacturer
announce? a. 44,518 b.45,276 c.49,621 d.40,922

Grear Tire Company has produced a new tire with an estimated
mean lifetime mileage of 36,500 miles. Management also believes
that the standard deviation is 5000 miles and that tire mileage is
normally distributed. To promote the new tire, Grear has offered to
refund a portion of the purchase price if the tire fails to reach
30,000 miles before the tire needs to be replaced. Specifically,
for tires with a lifetime below 30,000 miles, Grear will refund a
customer $1...

. Grear Tire Company has produced a new tire with an estimated
mean lifetime mileage of 36,500 miles. Management also believes
that the standard deviation is 5,000 miles and that tire mileage is
normally distributed. To promote the new tire, Grear has offered to
refund some money if the tire fails to reach 30,000 miles before
the tire needs to be replaced. Specifically, for tires with a
lifetime below 30,000 miles, Grear will refund a customer $1 per
100 miles...

Grear Tire Company has produced a new tire with an estimated
mean lifetime mileage of 36,500 miles. Management also believes
that the standard deviation is 5,000 miles and that tire mileage is
normally distributed. To promote the new tire, Grear has offered to
refund some money if the tire fails to reach 30,000 miles before
the tire needs to be replaced. Specifically, for tires with a
lifetime below 30,000 miles, Grear will refund a customer $1 per
100 miles short...

Grear Tire Company has produced a new tire with an estimated
mean lifetime mileage of 36,500 miles. Management also believes
that the standard deviation is 5,000 miles and that tire mileage is
normally distributed. To promote the new tire, Grear has offered to
refund some money if the tire fails to reach 30,000 miles before
the tire needs to be replaced. Specifically, for tires with a
lifetime below 30,000 miles, Grear will refund a customer $1 per
100 miles short...

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 70,000 miles. Assume the mileage wear follows
the normal distribution and the population standard deviation of
the distribution is 4,000 miles. Crossett’s Truck Company bought 49
tires and found that the mean mileage for its trucks is 72,000
miles. is Crossett’s experience is different from that claimed by
the manufacturer at the 0.01 significance level

For a new type of tire, a racing car team found the average
distance a set of tires would run during a race is 166 miles, with
a standard deviation of 12 miles. Assume that tire mileage is
independent and follows a Normal model.
a) If the team plans to change tires twice during a 500-mile
race, what is the expected value and standard deviation of miles
remaining after two changes?
b) What is the probability they won't have to...

Part 3: The Normal Distribution
A tire manufacturer believes that the tread life of their
tires can be described by a normal distribution with a mean of
32,000 miles and a standard deviation of 2,500
miles.
Use StatCrunch. Copy and paste all StatCruch output
used.
What is the probability that one of these tires lasts
longer than 35,000 miles? (6 points)
What is the probability that one of these tires lasts
between 20,000 and 40,000 miles?
(6 points)
What is...

(All answers were generated using 1,000 trials and native Excel
functionality.)
Grear Tire Company has produced a new tire with an estimated
mean lifetime mileage of 36,500 miles. Management also believes
that the standard deviation is 5,000 miles and that tire mileage is
normally distributed. To promote the new tire, Grear has offered to
refund some money if the tire fails to reach 30,000 miles before
the tire needs to be replaced. Specifically, for tires with a
lifetime below 30,000...

Tire King offers a 50,000 mile guarantee on its new premium
tire. The warrenty department requires that the average life of the
tire must be more than 55,000 before they will sign off on this
tire.QA randomly selects a batch of tires and life tests
them. Write the hypothesis statement that is best suited
for this test.
Bill's Burger Shack requires that the average weight of the
standard 1/4 lb burgers purchased from their vendor is 4 ounces. QA
randomly selects...

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