Question

In: Statistics and Probability

A tire company finds the lifespan for one brand of its tires is normally distributed with...

A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of 48,400 miles and a standard deviation of 5000 miles.

If the manufacturer is willing to replace no more than 10% of the tires, what should be the approximate number of miles for a warranty?

What is the probability that a tire will last more than 52,000 miles?  

What is the probability that a mean of 25 tires will last less than 47,000 miles?

Solutions

Expert Solution


Related Solutions

tire manufacturer claims that the life span of its tires is 60,000 miles. Assume the life spans of the tire are normally distributed.
tire manufacturer claims that the life span of its tires is 60,000 miles. Assume the life spans of the tire are normally distributed. You selected 25 tires at random and tested them. The mean life span of the sample is 58,800 miles. The tires had a sample standard deviation, s = 600. Use the .10 level of significance. Which distribution would be indicated? Explain why you chose that distribution. Construct a confidence interval for the mean using the above data....
QUESTION 7. The life expectancy of a particular brand of tire is normally distributed with a...
QUESTION 7. The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. (8 points) 2 Points each a. What is the probability that a randomly selected tire will have a life of no more than 50,000 miles? b. What is the probability that a randomly selected tire will have a life of at least 47,500 miles? c. What percentage of tires will have a life of...
The lifetimes (in miles) of a certain brand of automobile tires is a normally distributed random...
The lifetimes (in miles) of a certain brand of automobile tires is a normally distributed random variable, X, with a mean lifetime of µ = 40000 miles and standard deviation σ = 2000 miles. The manufacturer would like to offer a guarantee for free replacement of any tire that does not last a specified minimum number of miles. If the manufacturer desires to have a replacement policy that they will need to honor for only 1% of all tires they...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly inconsistent with the claim? Find the 95% confidence interval...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles. Do the data support the claim at the 5% level?
74. A particular brand of tires claims that its deluxe tire averages at least 50,000 miles...
74. A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly inconsistent with the claim? In other words, is...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using a confidence level of 95%, is the data highly inconsistent with the claim?
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim? Note: If you are using...
A.) A telephone manufacturer finds that the life spans of its telephones are normally distributed, with...
A.) A telephone manufacturer finds that the life spans of its telephones are normally distributed, with a mean of 6.7 years and a standard deviation of 0.5 year. (Round your answers to three decimal places.) What percent of its telephones will last at least 7.25 years? What percent of its telephones will last between 5.8 years and 6.8 years? What percent of its telephones will last less than 6.9 years? B.) The amount of time customers spend waiting in line...
A researcher is interested in evaluating a certain brand of radial auto tire. Twenty tires are...
A researcher is interested in evaluating a certain brand of radial auto tire. Twenty tires are randomly selected from retail outlets throughout the country, and each is placed on a special machine which rotates the tires at a constant speed (equivalent to 55 miles per hour) against the friction equivalent of a 4000 pound auto being driven on a smooth highway. Each tire is run until there is no tread left. The number of miles (in thousands) were as follows:...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT