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QUESTION

Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually...

σ

3.0

5.5

−0.6

1.6

3.7

4.5

8.0

2.2

4.7

3.0

4.4

0.5

3.0

1.1

1.1

5.0

2.1

3.7

−0.6

−4.2

(a) State the appropriate H0 and Ha to test this suspicion.

H0: μ < 0 mpg;    Ha: μ > 0 mpg

H0: μ > 3 mpg;    Ha: μ < 3 mpg

H0: μ = 3 mpg;    Ha: μ ≠ 3 mpg

H0: μ = 0 mpg;    Ha: μ ≠ 0 mpg

H0: μ > 0 mpg;    Ha: μ < 0 mpg

(b) Carry out the test. Give the P-value. (Round your answer to four decimal places.)

Interpret the result in plain language.

a.) We conclude that μ ≠ 0 mpg; that is, we have strong evidence that the computer's reported fuel efficiency does not differ from the driver's computed values.

b.) We conclude that μ ≠ 3 mpg; that is, we have strong evidence that the computer's reported fuel efficiency differs from the driver's computed values.

c.) We conclude that μ = 3 mpg; that is, we have strong evidence that the computer's reported fuel efficiency does not differ from the driver's computed values.

d.) We conclude that μ ≠ 0 mpg; that is, we have strong evidence that the computer's reported fuel efficiency differs from the driver's computed values.

e.) We conclude that μ = 0 mpg; that is, we have strong evidence that the computer's reported fuel efficiency differs from the driver's computed values.

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