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D Question 13 5 pts A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Use the 0.01 significance level to test the claim that hypnotism appear to be effective in reducing pain. Round to 4 decimal places if necessary. Before 11.1 0.8 10.7 7.6 12.4 8.3 3.9 2.6 After 6.6 2.6 7.9 8.1 8.1 6.9 3.7 2.9 a) Test the claim using the hypothesis test. Please use the following format to answer the question in order to receive the full credit. 1. Hypotheses: 2. Test statistics: 3. p-value: 4. Decision: 5. Conclusion: b) Construct the confidence interval that could be used for the hypothesis test describes in part (a) . c) Does hypnotism appear to be effective in reducing pain? (Use the result from question b to answer this question)The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 14 males and 14 females, are consistent with results reported in psychological studies. Can you conclude that there is a difference in mean empathy score between men and women? Use the significance level of 0.01. Males 16 13 26 21 23 8 15 18 13 20 12 23 17 22 Females 26 25 28 24 16 19 20 23 15 26 19 25 22 20 a) Test the claim using the hypothesis test. Please use the following format to answer the question in order to receive the full credit. 1. Hypotheses: 2. Test statistics: 3. p-value: 4. Decision: 5. Conclusion: b) Construct the confidence interval that could be used for the hypothesis test describes in part (a) . c) Is there a a difference in mean empathy score between men and women? (use the result from part b)