What are the correct hypotheses? (Select the correct symbols and values.) H0: Select an answer x̄₂ μ₁ x̄₁ μ(d) μ σ₁² p s₁² ? ≥ < ≤ = ≠ > Select an answer p x̄₁ μ 0 σ₁² μ₂ μ₁ s₁² x̄₂ H1: Select an answer x̄₁ μ₂ σ₂² p x̄₂ μ(d) μ μ₁ s₂² ? < ≤ ≥ > = ≠ Select an answer σ₁² p μ₁ x̄₂ μ₂ x̄₁ 0 s₁² μ Original Claim = Select an answer H₁ H₀ df = Based on the hypotheses, find the following: Test Statistic = (Round to three decimal places.) Critical value(s) = (Round to three decimal places.) Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s).
Are Presidents taller than their main opponents?
The table shows the heights of Presidents and their main opponents. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that the
(Be sure to subtract in the same direction).
| Height (cm) President | Height (cm) Main Opponent | Difference |
| 185 | 164 | |
| 172 | 165 | |
| 189 | 172 | |
| 169 | 154 | |
| 168 | 176 | |
| 180 | 169 |
What are the correct hypotheses? (Select the correct symbols and values.)
H0: Select an answer x̄₂ μ₁ x̄₁ μ(d) μ σ₁² p s₁² ? ≥ < ≤ = ≠ > Select an answer p x̄₁ μ 0 σ₁² μ₂ μ₁ s₁² x̄₂
H1: Select an answer x̄₁ μ₂ σ₂² p x̄₂ μ(d) μ μ₁ s₂² ? < ≤ ≥ > = ≠ Select an answer σ₁² p μ₁ x̄₂ μ₂ x̄₁ 0 s₁² μ
df =
Based on the hypotheses, find the following:
Test Statistic = (Round to three decimal places.)
Critical value(s) = (Round to three decimal places.)
Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s).
Shade: Left of a valueRight of a valueBetween two values2 regions. Click and drag the arrows to adjust the values.
Decision: Select an answer Accept the alternative hypothesis Accept the null hypothesis Fail to reject the null hypothesis Reject the null hypothesis .
Conclusion: Select an answer There is sufficient evidence to warrant rejection of There is not sufficient evidence to warrant rejection of There is not enough evidence to support The sample data supports the claim that the mean of the differences in the heights of Presidents and their main opponents is greater than 0 cm.
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