Time to file - A citizen's advocacy group is concerned about the amount of time it takes taxpayers to prepare and file their individual federal and state tax returns. They recruit a sample of 85 taxpayers and record the time in minutes it takes to file their federal tax return. Kalin, being a Michigander, wanted to find out whether the time it takes to file a Michigan state tax return is different from the time required to file a federal tax return. Kalin recruits 57 randomly selected Michiganders and records the time in minutes it takes each to file their Michigan state tax return. He decides to conduct a hypothesis test using the results shown in the table below. Return Type Mean time to file SD of time to file Population 1: Federal 66.7 minutes 10.2 minutes Population 2: State 72.1 minutes 19.9 minutes Round all calculated values in this problem to 4 decimal places. 1. Which set of hypotheses expresses Kalin's research question using appropriate notation? OA. Ho : H1 = µ2 Vs. Ha : µ1 # 42 OB. Ho : µ1 = 66.7 vs. Ha : µj = 72.1 OC. Ho : H1 = µ2 vs. Ha : Hi > H2 OD. Ho : H1 = µ2 VS. Ha : Hi < H2 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. OA. The observations within each sample must be independent. VB. The expected count for each level of the categorical variable must be at least 5. C. The data distribution for both federal and state tax filing times must be normally distributed or each sample size must be larger than 30. OD. The histogram of the residuals must be normally distributed. VE. The two sample groups must be independent of each other. 3. Calculate the appropriate test statistic. t V = -1.89 4. Calculate the p-value using 75.899484 degrees of freedom. p-value = 0.06