Question
In: Statistics and Probability
The mean life span of a brand name tire is 50,000 miles. Assume that the life...
- The mean life span of a brand name tire is 50,000 miles. Assume
that the life spans of the tires are normally distributed, and the
population standard deviation is 800 miles.
- a. If you select one tire, what is the probability that its life span is less than 48,500 miles?
- b. If you select 100 tires, what is the probability that their mean life span is more than 50,200miles?
- c. What is the distribution of the sample mean in part b?
- The proportion of students at a college who have a GPA higher
than 3.5 is 19%.
- a. You take repeated random samples of size 25 from that college and find the proportion of student who have a GPA higher than 3.5 for each sample. What is the mean and the standard error of the sampling distribution of the sample proportions?
- b. You take repeated random samples of size 50 from that college and find the proportion of student who have a GPA higher than 3.5 for each sample. What is the mean and the standard error of the sampling distribution of the sample proportions?
- c. Compare the results of parts a and b, and sketch the sampling distributions.
Solutions
orchestra answered 1 year agoRelated Solutions
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....
1. A tire company produces a tire that has an average life span of 500 miles...
1. A tire company produces a tire that has an average life span
of 500 miles with a standard deviation of 250. The distribution of
the life spans of the tires is normal. What is the probability that
the tires lasts between 530 and 375 miles? (Round three decimal
places)
2. A tire company produces a tire that has an average life span of
480 miles with a standard deviation of 30. The distribution of the
life spans of the...
Life Span of Tires: A certain brand of automobile tires has a mean life span of...
Life Span of Tires: A certain brand of
automobile tires has a mean life span of 35,000 miles and a
standard deviation or of 2,250 miles. (Assume a bell-shape
distribution).
The span of three randomly selected tires are 34,000 miles,
37,000 miles, and 31,000 miles. Find the z-scores that correspond
to each life span. Would any of these tires be considered
unusual?
The life spans of three randomly selected tires are 30,500
miles, 37,250 miles, and 35,000 miles. Using the...
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...
The mean tread life of a manufacturer's best selling tire is known to be 22,560 miles....
The mean tread life of a manufacturer's best selling tire is
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tire life is positively skewed, it cannot be assumed to be normal.
R&D has come up with a new rubber additive that they suspect
will increase mean tire life without affecting variability of tire
life. A sample of 36 tires with the new additive has a sample mean
tread life of 24,470 miles; the sample based estimate of the...
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