(6) Doraem X MATH 110: X Course Her X Screenshot X Screenshot X +25 job off x in Appen hirin X 3 (13) Whats/ X Course: STA X WeBWork : X + V X > C a urwork2.edbian.org/webwork2/STAT-100-101/Assignment6/7/?user=200455851&key=IVGKDNIGE8el4LoWbQa5mktUNVZBuVS1&effectiveUser=200455851 * Problems The mean volume of a large population of vials used to be 10.9 ml. To test whether this value has decreased, a random sample of size 290 vials are measured and found to have a sample mean of 10.3 ml. We will assume that the population of vial volumes is normally distributed with standard deviation of 3.5 ml. Problem 1 v Problem 2 V Test whether the mean population volume has decreased at a level of significance of 1%. Show your relevant steps below. Problem 3 V Problem 4 Step 1: Hypotheses: Problem 5 v . The null hypothesis Ho is (choose one): Problem 6 v Ou = 10.3 Of = 10.9 Ox = 10.9 Ox = 10.3 Problem 7 For the alternative hypothesis Ha we change the equal sign in Ho to (choose one): Problem 8 0 Step 2: Rejection Region: The rejection region is bounded by the following critical values: Critical z value(s) =. (Enter critical values from lowest to highest. Leave second blank empty if there is only one critical value.) Step 3: Test Statistic: Standard Error = Calculated test statistic, z = (Keep at least five significant figures for all calculated intermediate values.) Step 4: Decision on HO: At a level of significance of 1% (choose one): O Reject Ho and accept Ha O Fail to reject Ho Step 5: Final