2. For a random sample of 12 observations, the sample mean was 407 and the sample standard deviation was 6. You are given the following hypotheses: Ho: μ=400 H₁: 400 Using the 0.01 significance level: a. Is this a one- or two-tailed test? b. What is the decision rule? c. What is the value of the test statistic? d. What is the p-value? e. What is the confidence interval for this problem? f. What is your decision regarding H.?