H0: Select an answer x̄₁ μ₁ μ(d) s₁² μ σ₁² x̄₂ p ? > ≠ = ≤ < ≥ Select an answer μ μ₂ μ₁ 0 x̄₂ x̄₁ s₁² σ₁² p H1: Select an answer σ₂² μ(d) s₂² μ x̄₂ μ₁ x̄₁ p μ₂ ? = < ≥ ≤ > ≠ Select an answer s₁² μ x̄₁ p x̄₂ σ₁² μ₁ 0 μ₂ Original Claim = Select an answer H₀ H₁ df =
Do cars get better gas mileage on the highway?
The table shows the mileage per gallon of cars on city streets and the mileage per gallon of cars on the highway. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that the mean difference in miles per gallon is higher for cars on the city streets.
(Be sure to subtract in the same direction).
City (mpg) | Highway (mpg) | Difference (mpg) |
25.5 | 24.9 | |
21.3 | 31.3 | |
22.2 | 26.7 | |
28.3 | 39.4 | |
25.9 | 34.9 | |
20.5 | 22.1 | |
27.2 | 34 | |
25.1 | 28.7 |
What are the correct hypotheses? (Select the correct symbols and values.)
H0: Select an answer x̄₁ μ₁ μ(d) s₁² μ σ₁² x̄₂ p ? > ≠ = ≤ < ≥ Select an answer μ μ₂ μ₁ 0 x̄₂ x̄₁ s₁² σ₁² p
H1: Select an answer σ₂² μ(d) s₂² μ x̄₂ μ₁ x̄₁ p μ₂ ? = < ≥ ≤ > ≠ Select an answer s₁² μ x̄₁ p x̄₂ σ₁² μ₁ 0 μ₂
Original Claim = Select an answer H₀ H₁
df =
Based on the hypotheses, find the following:
Test Statistic = (Round to three decimal places.)
Critical value(s) = (Round to three decimal places.)
p-value = (Round to four decimal places.)
Hello! As you have posted more than 3 sub parts, we are answering the first 2 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.
Null hypothesis:
H0: .
That is, two means are not significant.
Alternative hypothesis:
H1: .
That is, two means are significant.
Step by step
Solved in 2 steps