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 alter 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 bellshaped distribution. Part I. Suppose that differences are d = Before After. Find the sample mean at and sample standard deviation 3d 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 :1 , fill in the last two columns of the table. .5. ||[ 1 ||[ 1 | 2 147 143 ||[ ]||[ ] | 3 135 132 ||[ ]||[ ] | 4 124 123 ||[ ]||[ ] | 5 147 143 ||[ ]||[ ] | 6 129 129 ||[ ]||[ ] | || i l: l :l Sample mean of the differences is d = C] Sample mean of the differences is d = Please. round your answer to 2 decimal places. Standard deviation of the differences is 3d = C] Part II. Test the company's claim at a 1.5% signicance level. Hint: Use the Student t distribution test for matched pairs and the following formula '1 #5 (%) (a) State the null and alternative hypotheses, and identify which one is the claim. tst 2 Which one is the claim? OH] OH 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 v Please select the correct sign for the critical value(s) and round your answers to 3 decimal places. Critical value (s) = ? v (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. tst = (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 (claim) and fail to support H1 O Reject Ho and support H1 (claim)