Question 2A natural wellness and beauty company claims that, on average, their new productlowers blood pressure. A group of six consumers was randomly selected and theirsystolic blood pressure was measured before and one month after they started takingthe supplement. Results are shown in the table below. The "before" value is matched tothe "after" value, and the difference should be calculated. Suppose that it is knownthat such differences have approximately bell-shaped distribution.Part I. Suppose that differences are d = Before After. Find the sample mean dand sample standard deviations of the differences.Step 1. Fill in the column "d= Before After " of the table. Then, calculate d andfill in the cell below the table.Step 2. Using d, fill in the last two columns of the table.Consumer Before After d123esc41253451256132Total131130162Consumer Before After dStep 2. Using d, fill in the last two columns of the table.125132131130123162131151134130158123131134130158***149-Sample mean of the differences is d =tt =80d-dd-fdPlease, round your answer to 2 decimal places.Standard deviation of the differences is sd =d-d(d-d2Part 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 formulatat =(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 HoOH,d-dBdFor 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 answerPlease select the correct sign for the critical value(s) and round your answers to 3decimal 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. Roundyour 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 H₁O Reject Ho and support H₁ (claim)O Reject Ho (claim) and fail to support H₁

Question

Question 2A natural wellness and beauty company claims that, on average, their new productlowers blood pressure. A group of six consumers was randomly selected and theirsystolic blood pressure was measured before and one month after they started takingthe supplement. Results are shown in the table below. The &#34;before&#34; value is matched tothe &#34;after&#34; value, and the difference should be calculated. Suppose that it is knownthat such differences have approximately bell-shaped distribution.Part I. Suppose that differences are d = Before After. Find the sample mean dand sample standard deviations of the differences.Step 1. Fill in the column &#34;d= Before After &#34; of the table. Then, calculate d andfill in the cell below the table.Step 2. Using d, fill in the last two columns of the table.Consumer Before After d123esc41253451256132Total131130162Consumer Before After dStep 2. Using d, fill in the last two columns of the table.125132131130123162131151134130158123131134130158***149-Sample mean of the differences is d =tt =80d-dd-fdPlease, round your answer to 2 decimal places.Standard deviation of the differences is sd =d-d(d-d2Part 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 formulatat =(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 HoOH,d-dBdFor 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 answerPlease select the correct sign for the critical value(s) and round your answers to 3decimal 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. Roundyour 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 H₁O Reject Ho and support H₁ (claim)O Reject Ho (claim) and fail to support H₁

Accepted Answer

Part I
Obtain the missing values in the table.
The missing values in the table are obtained below as…