Question
In: Statistics and Probability
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 for the true mean.
Solutions
orchestra answered 2 years agoRelated Solutions
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?
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...
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 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...
HW #44. 5 The manufacturer of a particular brand of tires claims they average at least...
HW #44. 5
The manufacturer of a particular brand of tires claims they
average at least 50,000 miles before needing to be replaced. From
past studies of this tire, it is known that the population standard
deviation is 8,000 miles.
A survey of tire owners was conducted. From the 23 tires
surveyed, the mean lifespan was 45500 miles. Using alpha = 0.05,
can we prove that the data in inconsistent with the manufacturers
claim?
We should use a ? t...
A tire company claims that the lifetimes of its tires average 49750 miles. The standard deviation...
A tire company claims that the lifetimes of its tires average
49750 miles. The standard deviation of tire lifetimes is known to
be 4750 miles. You sample 75 tires and will test the hypothesis
that the mean tire lifetime is at least 49750 miles against the
alternative that it is less. Assume, in fact, that the true mean
lifetime is 49250 miles.
It is decided to reject H0 if the sample
mean is less than 49150. Find the level and...
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 claims its tires will last for 80,000 miles on average when properly maintained....
A tire manufacturer claims its tires will last for 80,000 miles
on average when properly maintained. To investigate this claim, a
retail tire store has surveyed 49 recent customers of that
particular tire and determined those tires lasted for an average of
77,470 miles. The population standard deviation is known to be
7,700 miles. Compute the value of the appropriate test statistic to
test this claim.
Enter your answer as a decimal rounded to two places. Indicate a
negative value...
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....
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