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Question 2 A natural wellness and beauty company claims that, on average, their new product. lowers blood pressure. A group of six consumers was randomly selected and their systolic blood pressure was measured before and one month after they started takin. the supplement. Results are shown in the table below. The "before" value is matched the "after" value, and the difference should be calculated. Suppose that it is known that such differences have approximately bell-shaped distribution. Part I. Suppose that differences are d Before After. Find the sample mean e and sample standard deviations of the differences. Step 1. Fill in the column "d= Before - After " of the table. Then, calculated and fill in the cell below the table. Step 2. Using d, fill in the last two columns of the table. Consumer Before 1 2 3 4 5 125 132 131 130 162 After d 123 131 134 130 158 d-d d- 2

Question 2 A natural wellness and beauty company claims that, on average, their new product. lowers blood pressure. A group of six consumers was randomly selected and their systolic blood pressure was measured before and one month after they started takin. the supplement. Results are shown in the table below. The "before" value is matched the "after" value, and the difference should be calculated. Suppose that it is known that such differences have approximately bell-shaped distribution. Part I. Suppose that differences are d Before After. Find the sample mean e and sample standard deviations of the differences. Step 1. Fill in the column "d= Before - After " of the table. Then, calculated and fill in the cell below the table. Step 2. Using d, fill in the last two columns of the table. Consumer Before 1 2 3 4 5 125 132 131 130 162 After d 123 131 134 130 158 d-d d- 2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 2 A natural wellness and beauty company claims that, on average, their new product lowers blood pressure. A group of six consumers was randomly selected and their systolic blood pressure was measured before and one month after they started taking the supplement. Results are shown in the table below. The "before" value is matched to the "after" value, and the difference should be calculated. Suppose that it is known that such differences have approximately bell-shaped distribution. Part I. Suppose that differences are d = Before After. Find the sample mean d and sample standard deviations of the differences. Step 1. Fill in the column "d= Before After " of the table. Then, calculate d and fill in the cell below the table. Step 2. Using d, fill in the last two columns of the table. Consumer Before After d 1 2 3 esc 4 1 2 5 3 4 5 125 6 132 Total 131 130 162 Consumer Before After d Step 2. Using d, fill in the last two columns of the table. 125 132 131 130 123 162 131 151 134 130 158 123 131 134 130 158 *** 149 - Sample mean of the differences is d = tt = 80 d-d d-fd Please, round your answer to 2 decimal places. Standard deviation of the differences is sd = d-d (d-d 2 Part II. Test the company's claim at a 1.0% significance level. Hint: Use the Student t distribution test for matched pairs and the following formula (d-à)²
Transcribed Image Text:Question 2 A natural wellness and beauty company claims that, on average, their new product lowers blood pressure. A group of six consumers was randomly selected and their systolic blood pressure was measured before and one month after they started taking the supplement. Results are shown in the table below. The "before" value is matched to the "after" value, and the difference should be calculated. Suppose that it is known that such differences have approximately bell-shaped distribution. Part I. Suppose that differences are d = Before After. Find the sample mean d and sample standard deviations of the differences. Step 1. Fill in the column "d= Before After " of the table. Then, calculate d and fill in the cell below the table. Step 2. Using d, fill in the last two columns of the table. Consumer Before After d 1 2 3 esc 4 1 2 5 3 4 5 125 6 132 Total 131 130 162 Consumer Before After d Step 2. Using d, fill in the last two columns of the table. 125 132 131 130 123 162 131 151 134 130 158 123 131 134 130 158 *** 149 - Sample mean of the differences is d = tt = 80 d-d d-fd Please, round your answer to 2 decimal places. Standard deviation of the differences is sd = d-d (d-d 2 Part II. Test the company's claim at a 1.0% significance level. Hint: Use the Student t distribution test for matched pairs and the following formula (d-à)²
Sample mean of the differences is d = Please, round your answer to 2 decimal places. Standard deviation of the differences is 8 = Part II. Test the company's claim at a 1.0% significance level. Hint: Use the Student t distribution test for matched pairs and the following formula tat = (a) State the null and alternative hypotheses, and identify which one is the claim. Ho: Select an answer? H₁: Select an answer? Which one is the claim? O Ho OH, d-d Bd For parts (b), (c) use the correct sign for the critical value (s) and test statistic, and round your answers to 3 decimal places. For parts (b), (c) use the correct sign for the critical value (s) and test statistic, and round your answers to 3 decimal places. (b) Identify the test type and find the critical value(s). The test is Select an answer Please select the correct sign for the critical value(s) and round your answers to 3 decimal places. Critical value (s) = ? tst= (c) What is the test statistic? You do not need to enter the sign of the test statistic in the separate box. Round your answers to 2 decimal places. (d) is the null hypothesis rejected? Is the alternative hypothesis supported? O Fail to reject Ho and fail to support H₁ (claim) O Fail to reject Ho (claim) and support H₁ O Reject Ho and support H₁ (claim) O Reject Ho (claim) and fail to support H₁
Transcribed Image Text:Sample mean of the differences is d = Please, round your answer to 2 decimal places. Standard deviation of the differences is 8 = Part II. Test the company's claim at a 1.0% significance level. Hint: Use the Student t distribution test for matched pairs and the following formula tat = (a) State the null and alternative hypotheses, and identify which one is the claim. Ho: Select an answer? H₁: Select an answer? Which one is the claim? O Ho OH, d-d Bd For parts (b), (c) use the correct sign for the critical value (s) and test statistic, and round your answers to 3 decimal places. For parts (b), (c) use the correct sign for the critical value (s) and test statistic, and round your answers to 3 decimal places. (b) Identify the test type and find the critical value(s). The test is Select an answer Please select the correct sign for the critical value(s) and round your answers to 3 decimal places. Critical value (s) = ? tst= (c) What is the test statistic? You do not need to enter the sign of the test statistic in the separate box. Round your answers to 2 decimal places. (d) is the null hypothesis rejected? Is the alternative hypothesis supported? O Fail to reject Ho and fail to support H₁ (claim) O Fail to reject Ho (claim) and support H₁ O Reject Ho and support H₁ (claim) O Reject Ho (claim) and fail to support H₁
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