Question

A car salesperson claims that the mean gas mileage for its luxury sedan is at least 25 miles per gallon (mpg). A random sample of 30 cars has a mean gas mileage of 24 mpg and a (sample) standard deviation of 3.5 mpg.

a) State the null and alternative hypotheses. b) Determine the P-Value

c) State the outcome of the test at *α =
0.05*

Answer #1

A car company claims that the mean gas mileage for its luxury
sedan is at least 24 miles per gallon. A random sample of 7 cars
has a mean gas mileage of 23 miles per gallon and a standard
deviation of 2.4 miles per gallon. At α=0.05, can you support the
company’s claim assuming the population is normally distributed?
Yes, since the test statistic is not in the rejection region
defined by the critical value, the null is not rejected....

A car company says that the mean gas mileage for its luxury
sedan is at least 21 miles per gallon (mpg). You believe the claim
is incorrect and find that a random sample of 7 cars has a mean gas
mileage of 19 mpg and a standard deviation of 3 mpg. At alpha
equals 0.025, test the company's claim. Assume the population is
normally distributed. Which sampling distribution should be used
and why? State the appropriate hypothesis to test. What...

A car company claims that its cars achieve an average gas
mileage of at least 26 miles per gallon. A random sample of eight
cars form this company have an average gas mileage of 25.2 miles
per gallon and a standard deviation of 1 mile per gallon. At
α=0.06, can the company’s claim be supported, assuming this is a
normally distributed data set?
a) No, since the test statistic of -2.26 is in the rejection
region defined by the critical...

What hypothesis testing procedure should you use to answer these
questions? Assume all samples are simple random samples, and assume
α = 0.05 if it isn’t specified. A car company says that the mean
gas mileage for its luxury sedan is at least 21 mpg. You believe
the claim is incorrect and find that a random sample of 5 cars has
a mean gas mileage of 19 mpg and a sample standard deviation of 4
mpg. Assume the gas mileage...

A consumer agency claims that the average fuel mileage of Sedan
A exceeds that of Sedan B. To test this claim, a random sample of
18 Sedan A vehicles were tested and the sample mean fuel mileage
was found to be 26.60 miles per gallon with a known population
standard deviation of 1.43 miles per gallon. A random sample of 13
Sedan B vehicles also were tested and the sample mean fuel mileage
was found to be 25.60 miles per...

A consumer agency claims that the average fuel mileage of Sedan
A exceeds that of Sedan B. To test this claim, a random sample of
14 Sedan A vehicles were tested and the sample mean fuel mileage
was found to be 25.30 miles per gallon with a known population
standard deviation of 1.45 miles per gallon. A random sample of 17
Sedan B vehicles also were tested and the sample mean fuel mileage
was found to be 24.10 miles per...

A certain car model has a mean gas mileage of 31 miles per
gallon (mpg) with astandard deviation 3 mpg. A pizza delivery
company buys 43 of these cars. What is theprobability that the
average mileage of the fleet is greater than 30.7 mpg?

A certain car model has a mean gas mileage of 31 miles per
gallon (mpg) with a standard deviation 3 mpg. A pizza delivery
company buys 43 of these cars. What is the probability that the
average mileage of the fleet is greater than 30.7 mph

An automobile manufacturer claims that their car has a 59.1
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this car. After testing 51 cars they
found a mean MPG of 59.3 with a standard deviation of 1.4 MPG. Is
there sufficient evidence at the 0.1 level that the cars have an
incorrect manufacturer's MPG rating? State the null and alternative
hypotheses for the above scenario.

In a recent publication, it was reported that the average
highway gas mileage of tested models of a new car was 33.2 mpg and
approximately normally distributed. A consumer group conducts its
own tests on a simple random sample of 17 cars of this model and
finds that the mean gas mileage for their vehicles is 31.5 mpg with
a standard deviation of 3.5 mpg. Perform a test at the level to
determine if these data support the contention that...

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