Question

In: Statistics and Probability

1. A tire manufacturer determines at what temperature the tires will tend to bubble. In a...

1. A tire manufacturer determines at what temperature the tires will tend to bubble. In a sample of 21 tires, the mean temperature was 120 degrees F. with a standard deviation of 12 degrees. Construct the 98% confidence interval for the population mean.

2. The standard deviation of the length of 31 steel rods that are cut to be 3 feet is 0.023 feet. What is the 80% confidence interval for the population variance and the standard deviation?

3. In a sample of 450 bottles in a bottling plant, 12 bottles were incorrectly capped. Construct a 96% confidence interval for the proportion of bottles that are incorrectly capped.

Solutions

Expert Solution

( 1 )

( 2 )

( 3 )


Related Solutions

A tire manufacturer believes that the life of its tires follow a normal distribution with a...
A tire manufacturer believes that the life of its tires follow a normal distribution with a mean of 46,000 miles and a standard deviation of 4,000 miles. What mileage can he guarantee each tire to last so that 99% of the tires last longer than the guaranteed lifetime?
A manufacturer of a certain type of tires claims that their tire lifetime is 30,000 miles....
A manufacturer of a certain type of tires claims that their tire lifetime is 30,000 miles. The Bureau of Consumer Protection wants to conduct an preliminary investigation on this claim. a. If the true lifetime is only 29,000 miles, what is the chance that the Bureau won’t be able to detect such difference with data only on 16 tires? Assume that the SD of all tire lifetimes is about 1,500 miles. b. How many tires should the Bureau test on...
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 Normal model with a mean of 32,000 miles and a standard deviation of 2500 miles. a). If you buy a set of these tires, would it be reasonable for you to hope that they'll last 40,000 miles? Explain. b). Approximately what fraction of these tires can be expected to last less that 30,000 miles? c). Approximately what fraction of these tires can be expected...
A tire manufacturer claims that the life span of its tires is 52,000 miles. Assume the...
A tire manufacturer claims that the life span of its tires is 52,000 miles. Assume the life spans of the tire are normally distributed. You selected 16 tires at random and tested them. The mean life span of the sample is 50,802 miles. The tires had a population standard deviation, σ = 800. Use the .05 level of significance. a) Which distribution would be indicated? b) Explain why you chose that distribution. c) Construct a confidence interval for the mean...
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....
.Tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of...
.Tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type were driven for 1000 miles on each of 9 different cars. The mileages, in miles per gallon, were as follows. Test whether the mean mileage is the same for both types of tread. (ANOVA test) Car 1 2 3 4 5 6 7 8 9 Tread A 24.7 22.5 24.0 26.9 22.5 23.5 22.7 19.7 27.5 Tread B 20.3 19.0 22.5...
A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires...
A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type were driven for 1000 miles on each of 9 different cars. The mileages, in miles per gallon, were as follows: Car Tread A Tread B 1 24.7 20.4 2 22.6 19.0 3 23.9 22.4 4 26.8 23.0 5 22.4 20.8 6 23.4 23.5 7 22.6 21.3 8 19.7 18.1 9 27.3 25.8 (a) Construct an 80% confidence interval for the...
A tire manufacturer produces tires that have a mean life of at least 25000 miles when...
A tire manufacturer produces tires that have a mean life of at least 25000 miles when the production process is working properly. The operations manager stops the production process if there is evidence that the mean tire life is below 25000 miles. The testable hypotheses in this situation are ?0:?=25000H0:μ=25000 vs ??:?<25000HA:μ<25000. 1. Identify the consequences of making a Type I error. A. The manager does not stop production when it is not necessary. B. The manager stops production when...
A tire manufacturer produces tires that have a mean life of at least 32500 miles when...
A tire manufacturer produces tires that have a mean life of at least 32500 miles when the production process is working properly. The operations manager stops the production process if there is evidence that the mean tire life is below 32500 miles. The testable hypotheses in this situation are ?0:?=32500H0:μ=32500 vs ??:?<32500HA:μ<32500. 1. Identify the consequences of making a Type I error. A. The manager stops production when it is necessary. B. The manager stops production when it is not...
A tire manufacturer produces tires that have a mean life of at least 30000 miles when...
A tire manufacturer produces tires that have a mean life of at least 30000 miles when the production process is working properly. The operations manager stops the production process if there is evidence that the mean tire life is below 30000 miles. The testable hypotheses in this situation are ?0:?=30000 H 0 : μ = 30000 vs ??:?<30000 H A : μ < 30000 . 1. Identify the consequences of making a Type I error. A. The manager does not...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT