Saving gas Congress regulates corporate fuel economyand sets an annual gas mileage for cars. A companywith a large fleet of cars hopes to meet the 2011 goal of30.2 mpg or better for their fleet of cars. To see if thegoal is being met, they check the gasoline usage for50 company trips chosen at random, finding a mean of32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel econ-omy goal? a) Write appropriate hypotheses.b) Are the necessary assumptions to make inferencessatisfied?c) Describe the sampling distribution model of mean fueleconomy for samples like this.d) Find the P-value.e) Explain what the P-value means in this context.f) State an appropriate conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Saving gas Congress regulates corporate fuel economy
and sets an annual gas mileage for cars. A company
with a large fleet of cars hopes to meet the 2011 goal of
30.2 mpg or better for their fleet of cars. To see if the
goal is being met, they check the gasoline usage for
50 company trips chosen at random, finding a mean of
32.12 mpg and a standard deviation of 4.83 mpg. Is this
strong evidence that they have attained their fuel econ-
omy goal?
a) Write appropriate hypotheses.
b) Are the necessary assumptions to make inferences
satisfied?
c) Describe the sampling distribution model of mean fuel
economy for samples like this.
d) Find the P-value.
e) Explain what the P-value means in this context.
f) State an appropriate conclusion.
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