Is there a difference between the ages of Actors and Actresses? The table shows the ages of Actors and Actress when they received their first Oscar. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is a mean difference in the ages of Actors and Actresses. (Be sure to subtract in the same direction). Actor (years) Actress (years) Difference (years) 45 42 25 21 34 36 23 17 43 46 28 18 44 51
Is there a difference between the ages of Actors and Actresses?
The table shows the ages of Actors and Actress when they received their first Oscar. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is a
(Be sure to subtract in the same direction).
| Actor (years) | Actress (years) | Difference (years) |
| 45 | 42 | |
| 25 | 21 | |
| 34 | 36 | |
| 23 | 17 | |
| 43 | 46 | |
| 28 | 18 | |
| 44 | 51 |
What are the correct hypotheses? (Select the correct symbols and values.)
H0: Select an answer μ₁ μ σ₁² x̄₂ s₁² μ(d) x̄₁ p ? ≤ > ≠ < ≥ = Select an answer μ₁ x̄₂ σ₁² x̄₁ μ₂ μ p s₁² 0
H1: Select an answer μ₂ x̄₂ σ₂² μ₁ s₂² μ x̄₁ μ(d) p ? < ≠ = ≥ ≤ > Select an answer σ₁² s₁² μ₁ p 0 x̄₂ μ₂ x̄₁ 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.)
p-value = (Round to four 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 Fail to reject the null hypothesis Accept the alternative hypothesis Accept the null hypothesis Reject the null hypothesis .
Conclusion: Select an answer The sample data supports There is not enough evidence to support There is sufficient evidence to warrant rejection of There is not sufficient evidence to warrant rejection of the claim that there is a mean difference in the ages of Actors and Actresses when they received their first Oscar.
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