Question

A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can be modeled with a normal model with N(33, 1.70).

- What proportion of cars have miles per gallon less than 31.2 [P(x ≤ 31.2 mpg)]?
- What proportion of cars will have miles per gallon greater than 36 [P(x ≥ 36 mpg)]?
- What proportion of cars will have miles per gallon greater than 29.7 [P(x ≥ 29.7 mpg)]?
- What proportion of cars will have miles per gallon between 32 and 35 [P(32 mpg ≤ x ≤ 35 mpg)]?
- How many miles per gallon do the top 10% of the midsize cars have?

Answer #1

The manufacturer of a new compact car claims the miles per
gallon (mpg) for the gasoline consumption is mound-shaped and
symmetric with a mean of 27.4 mpg and a standard deviation of 10.2
mpg. If 29 such cars are tested, what is the probability the
average mpg achieved by these 29 cars will be greater than 29?
Answer: Round your answer to 4 decimal places as necessary. For
example, 0.1357 would be a legitimate entry. Make sure you include
the...

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.

An automobile manufacturer claims that its car has a
28.0 miles/gallon (MPG) rating. An independent
testing firm has been contracted to test the MPG for this car since
it is believed that the car has an incorrect manufacturer's MPG
rating. After testing 270 cars, they found a mean
MPG of 27.8. Assume the variance is known
to be 6.25. A level of significance of
0.02 will be used. State the hypotheses.
H0: (BLANK)
Ha: (BLANK)

An automobile manufacturer claims that their car has a 33.7
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this car. After testing 12 cars they
found a mean MPG of 34.0 with a variance of 2.56. Is there
sufficient evidence at the 0.05 level that the cars have an
incorrect manufacturer's MPG rating? Assume the population
distribution is approximately normal. Step 4 of 5 : Determine the
decision rule for rejecting the null...

An automobile manufacturer claims that its car has a 28.0
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this car since it is believed that
the car has an incorrect manufacturer's MPG rating. After testing
270 cars, they found a mean MPG of 27.8. Assume the variance is
known to be 6.25 A level of significance of 0.02 will be used. Find
the value of the test statistic. Round your answer to 2...

An automobile manufacturer claims that its car has a 57.7
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this car since it is believed that
the car has an incorrect manufacturer's MPG rating. After testing
210 cars, they found a mean MPG of 57.4. Assume the standard
deviation is known to be 1.9. A level of significance of 0.1 will
be used. Find the value of the test statistic. Round your answer to...

A car manufacturer claims that its cars make on average 30 miles
per gallon on a highway. A consumer group tests 25 cars on a
highway and finds the average of 27 miles per gallon and a standard
deviation of 5.81 miles per gallon. Do these results doubt the
claim made by the car manufacturer about the population mean μ?
Test the hypotheses H0: μ =30 versus Ha:μ ≠ 30 at 0.05 level of
significance.
Suppose that a test of...

To determine if a relationship exists between the miles per
gallon (MPG) estimated by the car manufacturers and the actual MPG
recorded by consumers, the following data are collected:
Automakers: 29 28 28 24 27 27 24 38
Consumers: 27 27 25 20 22 25 23 36
a. Calculate the correlation coefficient.
b. Interpret the correlation.
c. Determine the line of best fit.
d. If the manufacturer claims 25 MPG, what should the consumer
expect?
e. If the manufacturer claims...

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

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