Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.01 significance level, test the claim that blue enhances performance on a creative task. Red Background Blue Background n1 = 41 n2 = 44 xˉx̄1 = 19.2 xˉx̄2 = 18.7 s1 = 0.88 s2 = 0.35 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: Select an answer μ(blue) s₁² μ₂ p₂ p̂₁ σ₁² p μ₁ x̄₂ μ x̄₁ p₁ ? < ≥ ≠ ≤ = > Select an answer p₁ μ s₁² σ₁² μ₂ p₂ x̄₁ p̂₁ μ(red) μ₁ p x̄₂ H1: Select an answer x̄₁ x̄₂ p₁ μ₁ μ μ(blue) p p₂ σ₂² s₂² p̂₂ μ₂ ? ≤ < = ≥ ≠ > Select an answer σ₁² x̄₂ p₁ x̄₁ μ₁ p p₂ μ μ₂ p̂₁ s₁² μ(red) 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). Shade: Left of a valueRight of a valueBetween two values2 regions. Click and drag the arrows to adjust the values. -1.5 Decision: Select an answer Accept the alternative hypothesis Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis . Conclusion: Select an answer There is sufficient evidence to warrant rejection of There is not enough evidence to support There is not sufficient evidence to warrant rejection of The sample data supports the claim that blue enhances performance on a creative task.
Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.01 significance level, test the claim that blue enhances performance on a creative task.
| Red Background | Blue Background |
| n1 = 41 | n2 = 44 |
| xˉx̄1 = 19.2 | xˉx̄2 = 18.7 |
| s1 = 0.88 | s2 = 0.35 |
What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)
H0: Select an answer μ(blue) s₁² μ₂ p₂ p̂₁ σ₁² p μ₁ x̄₂ μ x̄₁ p₁ ? < ≥ ≠ ≤ = > Select an answer p₁ μ s₁² σ₁² μ₂ p₂ x̄₁ p̂₁ μ(red) μ₁ p x̄₂
H1: Select an answer x̄₁ x̄₂ p₁ μ₁ μ μ(blue) p p₂ σ₂² s₂² p̂₂ μ₂ ? ≤ < = ≥ ≠ > Select an answer σ₁² x̄₂ p₁ x̄₁ μ₁ p p₂ μ μ₂ p̂₁ s₁² μ(red)
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).
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 Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis .
Conclusion: Select an answer There is sufficient evidence to warrant rejection of There is not enough evidence to support There is not sufficient evidence to warrant rejection of The sample data supports the claim that blue enhances performance on a creative task.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
