The table below shows the gas mileages (in miles per gallon) of eight cars with and without using a fuel additive. At a=0.10, is there enough evidence to conclude that the fuel additive improved gas mileage? Car Gas mileage without additive 25.4 24.3 21.6 20.6 25.5 22.4 25.4 23.5 Gas mileage with fuel additive 26.6 25.5 24.3 22.0 26.1 24.5 26.1 25.2 2 3 4 5 Identify the claim and state Ho and Hg- The claim is "The fuel additive gas mileage." Let g be the hypothesized mean of the the cars' gas mieage without addive minus their gas mileage with addtive. State Ho and H.. Choose the correct answer below. OA. Ho: k F0 OB. Ho: He za OC. Họ: He s0 OD. Ho: k20 OE Ho: He "0 OF. Ho: He sa Caloulate à and ty. (Type an integer or a decimal. Round to three decimal places as needed.) Caloulate sg. (Type an integer or a decimal. Round to three decimal places as needed.) Decide whether to reject or fail to reject the nul hypothesis. Choose the correct answer below. O Reject the null hypothesis. O Fal to reject the nul hypothesis. Interpret the decision in the context of the original dlaim. Choose the correct answer below. OA At the 10% significance level, there is enough evidence that the gas mileage was worse when using the fuel additive. B. The sample was not large enough to make a conclusion. C. At the 10% significance level, there is not enough evidence that the fuel additive improved gas mileage. D. At the 10% significance level, there is enough evidence that the fuel additive improved gas mileage.

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The table below shows the gas mileages (in miles per gallon) of eight cars with and without using a fuel additive. At α = 0.10, is there enough evidence to conclude that the fuel additive improved gas mileage?

| Car                        | 1   | 2   | 3   | 4   | 5   | 6   | 7   | 8   |
|----------------------------|-----|-----|-----|-----|-----|-----|-----|-----|
| Gas mileage without additive | 23.4 | 24.2 | 21.6 | 20.6 | 25.2 | 23.4 | 25.1 | 25.3 |
| Gas mileage with fuel additive | 26.6 | 25.5 | 24.3 | 22.0 | 26.1 | 24.9 | 26.1 | 25.2 |

Identify the claim and state H₀ and H₃.

The claim is "The fuel additive \(\underline{\text{improves}}\) gas mileage."

Let μᵈ be the hypothesized mean of the cars' gas mileage without additive minus their gas mileage with additive. State H₀ and H₃. Choose the correct answer below.

A. 
- H₀: μᵈ ≠ 0 
- H₃: μᵈ = 0

B. 
- H₀: μᵈ ≥ 0 
- H₃: μᵈ < 0

C. 
- H₀: μᵈ ≤ 0 
- H₃: μᵈ > 0

D. 
- H₀: μᵈ = 0 
- H₃: μᵈ ≠ 0

E. 
- H₀: μᵈ = 0 
- H₃: μᵈ > 0

F. 
- H₀: μᵈ ≤ 0 
- H₃: μᵈ > 0

Calculate \( \bar{d} \) and \( s_d \).

\( \bar{d} = \)  
(Type an integer or a decimal. Round to three decimal places as needed.)

Calculate \( s_d = \)  
(Type an integer or a decimal
Transcribed Image Text:The table below shows the gas mileages (in miles per gallon) of eight cars with and without using a fuel additive. At α = 0.10, is there enough evidence to conclude that the fuel additive improved gas mileage? | Car | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |----------------------------|-----|-----|-----|-----|-----|-----|-----|-----| | Gas mileage without additive | 23.4 | 24.2 | 21.6 | 20.6 | 25.2 | 23.4 | 25.1 | 25.3 | | Gas mileage with fuel additive | 26.6 | 25.5 | 24.3 | 22.0 | 26.1 | 24.9 | 26.1 | 25.2 | Identify the claim and state H₀ and H₃. The claim is "The fuel additive \(\underline{\text{improves}}\) gas mileage." Let μᵈ be the hypothesized mean of the cars' gas mileage without additive minus their gas mileage with additive. State H₀ and H₃. Choose the correct answer below. A. - H₀: μᵈ ≠ 0 - H₃: μᵈ = 0 B. - H₀: μᵈ ≥ 0 - H₃: μᵈ < 0 C. - H₀: μᵈ ≤ 0 - H₃: μᵈ > 0 D. - H₀: μᵈ = 0 - H₃: μᵈ ≠ 0 E. - H₀: μᵈ = 0 - H₃: μᵈ > 0 F. - H₀: μᵈ ≤ 0 - H₃: μᵈ > 0 Calculate \( \bar{d} \) and \( s_d \). \( \bar{d} = \) (Type an integer or a decimal. Round to three decimal places as needed.) Calculate \( s_d = \) (Type an integer or a decimal
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