You are testing the claim that smiling, rather than remaining neutral, during a court proceding will lead to a different punishment from the judge (abstract). A sample of 34 people who smiled during their hearing and 34 people who kept neutral facial expressions during their hearing is given below. The values are a measure of how lenient the judgments were. Test the claim using a 6% level of significance. Assume the population variances are unequal and that the leniency scores are normally distributed. Give answers to 3 decimal places. Smile (x1x1) Neutral (x2x2) 7 2 3 4 6 4 4.5 3 3.5 6 4 4.5 3 2 3 6 3.5 3 4.5 3 7 4.5 5 8 5 4 7.5 5 2.5 3.5 5 4.5 5.5 6.5 5.5 3.5 5 4.5 4 4.5 5 2.5 6.5 2.5 6.5 4.5 7 2.5 3.5 6 5 6 3.5 2 9 4 2.5 5.5 8.5 4 3.5 2.5 4.5 2.5 3.5 3 4.5 6.5 What are the correct hypotheses? Select the correct symbols in the order they appear in the problem. H0: Select an answer x̅₂ s² x̅₁ μ₁ μ₂ p σ² ? < ≥ ≠ = > ≤ Select an answer p μ₂ σ² x̅₂ 0 x̅₁ s² μ₁ Ha: Select an answer μ₁ μ₂ s² p σ² x̅₂ x̅₁ ? ≠ < = > ≥ ≤ Select an answer x̅₁ 0 μ₁ x̅₂ μ₂ σ² s² p Based on the hypotheses, find the following: Difference in means from Ha = p-value = The correct decision is to Select an answer: accept the alternative hypothesis, reject the claim, accept the null hypothesis, reject the null hypothesis, do not reject the null hypothesis . The correct summary would be: Select an answer: There is enough evidence to reject the claim, There is enough evidence to support the claim, There is not enough evidence to support the claim, There is not enough evidence to reject the claim that there is a difference in leniency when smiling over being neutral when in trouble.
You are testing the claim that smiling, rather than remaining neutral, during a court proceding will lead to a different punishment from the judge (abstract). A sample of 34 people who smiled during their hearing and 34 people who kept neutral facial expressions during their hearing is given below. The values are a measure of how lenient the judgments were. Test the claim using a 6% level of significance. Assume the population variances are unequal and that the leniency scores are
| Smile (x1x1) | Neutral (x2x2) |
|---|---|
| 7 | 2 |
| 3 | 4 |
| 6 | 4 |
| 4.5 | 3 |
| 3.5 | 6 |
| 4 | 4.5 |
| 3 | 2 |
| 3 | 6 |
| 3.5 | 3 |
| 4.5 | 3 |
| 7 | 4.5 |
| 5 | 8 |
| 5 | 4 |
| 7.5 | 5 |
| 2.5 | 3.5 |
| 5 | 4.5 |
| 5.5 | 6.5 |
| 5.5 | 3.5 |
| 5 | 4.5 |
| 4 | 4.5 |
| 5 | 2.5 |
| 6.5 | 2.5 |
| 6.5 | 4.5 |
| 7 | 2.5 |
| 3.5 | 6 |
| 5 | 6 |
| 3.5 | 2 |
| 9 | 4 |
| 2.5 | 5.5 |
| 8.5 | 4 |
| 3.5 | 2.5 |
| 4.5 | 2.5 |
| 3.5 | 3 |
| 4.5 | 6.5 |
What are the correct hypotheses? Select the correct symbols in the order they appear in the problem.
H0: Select an answer x̅₂ s² x̅₁ μ₁ μ₂ p σ² ? < ≥ ≠ = > ≤ Select an answer p μ₂ σ² x̅₂ 0 x̅₁ s² μ₁
Ha: Select an answer μ₁ μ₂ s² p σ² x̅₂ x̅₁ ? ≠ < = > ≥ ≤ Select an answer x̅₁ 0 μ₁ x̅₂ μ₂ σ² s² p
Based on the hypotheses, find the following:
Difference in means from Ha =
p-value =
The correct decision is to Select an answer: accept the alternative hypothesis, reject the claim, accept the null hypothesis, reject the null hypothesis, do not reject the null hypothesis .
The correct summary would be: Select an answer: There is enough evidence to reject the claim, There is enough evidence to support the claim, There is not enough evidence to support the claim, There is not enough evidence to reject the claim that there is a difference in leniency when smiling over being neutral when in trouble.
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