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. Two types of cereal ? are test for their consumption time (in minutes). At the 0.01 significance level, test the claim that the two populations of cereal have equal means. Cereal A Cereal B n1 = 37 n2 = 35 xˉx̄1 = 19.6 min xˉx̄2 = 19.1 min s1 = 1.7 min s2 = 0.6 min What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: Select an answer p₁ x̄₁ μ₂ p̂₁ x̄₂ μ μ(A) p s₁² p₂ σ₁² μ₁ ? > ≥ ≤ < = ≠ Select an answer μ(B) p₁ p p₂ x̄₂ μ x̄₁ s₁² μ₂ μ₁ p̂₁ σ₁² H1: Select an answer σ₂² μ₂ x̄₁ p̂₂ p₁ μ₁ s₂² x̄₂ μ μ(A) p₂ p ? > = ≠ ≥ ≤ < Select an answer p₁ p μ₂ s₁² μ₁ x̄₁ p̂₁ p₂ μ(B) σ₁² μ x̄₂ 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 Reject the null hypothesis Fail to reject the null hypothesis Accept the null hypothesis Accept the alternative hypothesis . Conclusion: Select an answer There is sufficient evidence to warrant rejection of The sample data supports There is not enough evidence to support There is not sufficient evidence to warrant rejection of the claim that the two populations of cereal have equal means.
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. Two types of cereal ? are test for their consumption time (in minutes). At the 0.01 significance level, test the claim that the two populations of cereal have equal means.
| Cereal A | Cereal B |
| n1 = 37 | n2 = 35 |
| xˉx̄1 = 19.6 min | xˉx̄2 = 19.1 min |
| s1 = 1.7 min | s2 = 0.6 min |
What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)
H0: Select an answer p₁ x̄₁ μ₂ p̂₁ x̄₂ μ μ(A) p s₁² p₂ σ₁² μ₁ ? > ≥ ≤ < = ≠ Select an answer μ(B) p₁ p p₂ x̄₂ μ x̄₁ s₁² μ₂ μ₁ p̂₁ σ₁²
H1: Select an answer σ₂² μ₂ x̄₁ p̂₂ p₁ μ₁ s₂² x̄₂ μ μ(A) p₂ p ? > = ≠ ≥ ≤ < Select an answer p₁ p μ₂ s₁² μ₁ x̄₁ p̂₁ p₂ μ(B) σ₁² μ x̄₂
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 Reject the null hypothesis Fail to reject the null hypothesis Accept the null hypothesis Accept the alternative hypothesis .
Conclusion: Select an answer There is sufficient evidence to warrant rejection of The sample data supports There is not enough evidence to support There is not sufficient evidence to warrant rejection of the claim that the two populations of cereal have equal means.
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