Question
In: Statistics and Probability
The average number of miles (in thousands) that a car's tire will function before needing replacement...
The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 11. Suppose that 43 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.
- What is the distribution of X? X ~ N
- What is the distribution of ¯x? ¯x ~ N
- If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 65.6 and 66.7.
- For the 43 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65.6 and 66.7.
- For part d), is the assumption that the distribution is normal necessary?
Solutions
orchestra answered 2 years agoRelated Solutions
The average number of miles (in thousands) that a car's tire will function before needing replacement...
The average number of miles (in thousands) that a car's tire
will function before needing replacement is 66 and the standard
deviation is 14. Suppose that 18 randomly selected tires are
tested. Round all answers to 4 decimal places where possible and
assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
If a randomly selected individual tire is tested, find the
probability that the number of miles...
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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before...
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particular brand of tires claims that its deluxe tire averages at
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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
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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
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