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A pharmaceutical company wants to test the effectiveness of new medication for arthritis pain. Eight randomly selected patients with arthritis are asked to rate their pain on a scale of 1-10 (1 is no pain and 10 is maximum pain) before taking the medication. These same eight patients are then given the medication and one hour later are asked to rate their pain on a scale of 1-10 again. The data are below. Test the hypothesis that the new medication leads to a significant decrease in the mean pain rating. (Hint: you'll see a lot of negative values to show that pain has decreased.) Use .05 as the level of significance. Patient 1 Before 7 After 2 2 9 3 3 8 4 4 10 6 5 8 7 6 6 1. 7 5 2 8 8 3 1. Clearly state the hypotheses using correct notation. 2. Name the test you are going to use. 3. Give your test statistic and p-value. 4. Make your decision about the null hypothesis and state your conclusion regarding whether or not the medication leads to a significant decrease in arthritis pain.

A pharmaceutical company wants to test the effectiveness of new medication for arthritis pain. Eight randomly selected patients with arthritis are asked to rate their pain on a scale of 1-10 (1 is no pain and 10 is maximum pain) before taking the medication. These same eight patients are then given the medication and one hour later are asked to rate their pain on a scale of 1-10 again. The data are below. Test the hypothesis that the new medication leads to a significant decrease in the mean pain rating. (Hint: you'll see a lot of negative values to show that pain has decreased.) Use .05 as the level of significance. Patient 1 Before 7 After 2 2 9 3 3 8 4 4 10 6 5 8 7 6 6 1. 7 5 2 8 8 3 1. Clearly state the hypotheses using correct notation. 2. Name the test you are going to use. 3. Give your test statistic and p-value. 4. Make your decision about the null hypothesis and state your conclusion regarding whether or not the medication leads to a significant decrease in arthritis pain.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A pharmaceutical company wants to test the effectiveness of new medication for arthritis pain. Eight randomly selected patients with arthritis are asked to rate their pain on a scale of 1-10 (1 is no pain and 10 is maximum pain) before taking the medication. These same eight patients are then given the medication and one hour later are asked to rate their pain on a scale of 1-10 again. The data are below. Test the hypothesis that the new medication leads to a significant decrease in the mean pain rating. (Hint: you'll see a lot of negative values to show that pain has decreased.) Use .05 as the level of significance. Patient 1 Before 7 After 2 2 9 3 3 18 4 4 10 6 5 8 6 6 1. 7 5 2 8 8 3 1. Clearly state the hypotheses using correct notation. 2. Name the test you are going to use. 3. Give your test statistic and p-value. 4. Make your decision about the null hypothesis and state your conclusion regarding whether or not the medication leads to a significant decrease in arthritis pain.
Transcribed Image Text:A pharmaceutical company wants to test the effectiveness of new medication for arthritis pain. Eight randomly selected patients with arthritis are asked to rate their pain on a scale of 1-10 (1 is no pain and 10 is maximum pain) before taking the medication. These same eight patients are then given the medication and one hour later are asked to rate their pain on a scale of 1-10 again. The data are below. Test the hypothesis that the new medication leads to a significant decrease in the mean pain rating. (Hint: you'll see a lot of negative values to show that pain has decreased.) Use .05 as the level of significance. Patient 1 Before 7 After 2 2 9 3 3 18 4 4 10 6 5 8 6 6 1. 7 5 2 8 8 3 1. Clearly state the hypotheses using correct notation. 2. Name the test you are going to use. 3. Give your test statistic and p-value. 4. Make your decision about the null hypothesis and state your conclusion regarding whether or not the medication leads to a significant decrease in arthritis pain.
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