Question
In: Statistics and Probability
The manufacturer of a sports car claims that the fuel injection system lasts 48 months before...
The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random sample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months):
| 27 | 46 | 47 | 48 | 53 | 46 | 30 | 51 | 42 | 52 |
(i) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to two decimal places.)
| x = | months |
| s = | months |
(ii) Test the claim that the fuel injection system lasts less than
an average of 48 months before needing replacement. Use a 5% level
of significance.
What are we testing in this problem?
single proportionsingle mean
(a) What is the level of significance?
Solutions
orchestra answered 1 year agoRelated Solutions
The manufacturer of a sports car claims that the fuel injection system lasts 48 months before...
The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced. The ages of the cars at
the time of replacement were (in months): 27 46 49 48 53 46 30 51
42 52
What is the value of the sample test statistic? (Round your
answer to three decimal...
The manufacturer of a sports car claims that the fuel injection system lasts 48 months before...
The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced. The ages of the cars at
the time of replacement were (in months):
23
44
45
48
53
46
30
51
42
52
(i) Use your calculator to calculate the mean age of a car when
the fuel...
The manufacturer of a sports car claims that the fuel injection system lasts 48 months before...
The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced. The ages of the cars at
the time of replacement were (in months):
21
42
43
48
53
46
30
51
42
52
Use the sample data to calculate the mean age of a car when the
fuel...
The manufacturer of a sports car claims that the fuel injection system lasts 48 months before...
The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced. The ages of the cars at
the time of replacement were (in months): 25 44 47 48 53 46 30 51
42 52 (i) Use your calculator to calculate the mean age of a car
when the fuel...
The car manufacturer Lamborghini claims that its high-performance sports car, the Lamborghini Aventador, has an average...
The car manufacturer Lamborghini claims that its
high-performance sports car, the Lamborghini Aventador, has an
average top speed exceeding 220 mph. A car enthusiast tests this
claim by renting 14 of the vehicles and recording their top speed.
He finds that the average top speed of the sample is 218mph, with a
sample standard deviation of 3mph. For the test, the car enthusiast
determines that α = 0.10
Write the null and alternative hypotheses. Is this a left,
right, or...
5. Suppose that a car manufacturer claims that its fuel efficiency (as measured in miles per...
5. Suppose that a car manufacturer claims that its
fuel efficiency (as measured in miles per
gallon) per tankful of gasoline follows a normal distribution with
mean 35 mpg and
standard deviation 2.0 mpg.
a) What percentage of tankfuls would obtain between 30 and 40 mpg?
(A table of
standard normal probabilities appears at the end of this
exam.)
b) Would the percentage of tankfuls that obtain between 30 and 40
mpg be larger,
smaller, or the same if the...
A new fuel injection system has been engineered for pickup trucks. The new system and the...
A new fuel injection system has been engineered for pickup
trucks. The new system and the old system both produce about the
same average miles per gallon. However, engineers question which
system (old or new) will give better consistency in fuel
consumption (miles per gallon) under a variety of driving
conditions. A random sample of 31 trucks were fitted with the new
fuel injection system and driven under different conditions. For
these trucks, the sample variance of gasoline consumption was...
A new fuel injection system has been engineered for pickup trucks. The new system and the...
A new fuel injection system has been engineered for pickup
trucks. The new system and the old system both produce about the
same average miles per gallon. However, engineers question which
system (old or new) will give better consistency in fuel
consumption (miles per gallon) under a variety of driving
conditions. A random sample of 41 trucks were fitted with the new
fuel injection system and driven under different conditions. For
these trucks, the sample variance of gasoline consumption was...
A new fuel injection system has been engineered for pickup trucks. The new system and the...
A new fuel injection system has been engineered for pickup
trucks. The new system and the old system both produce about the
same average miles per gallon. However, engineers question which
system (old or new) will give better consistency in fuel
consumption (miles per gallon) under a variety of driving
conditions. A random sample of 41 trucks were fitted with the new
fuel injection system and driven under different conditions. For
these trucks, the sample variance of gasoline consumption was...
A new fuel injection system has been engineered for pickup trucks. The new system and the...
A new fuel injection system has been engineered for pickup
trucks. The new system and the old system both produce about the
same average miles per gallon. However, engineers question which
system (old or new) will give better consistency in fuel
consumption (miles per gallon) under a variety of driving
conditions. A random sample of 41 trucks were fitted with the new
fuel injection system and driven under different conditions. For
these trucks, the sample variance of gasoline consumption was...
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