Scenario: A State's Department of Transportation (DOT) claims that the mean wait time for customers is no more than 6 minutes. Test this claim at a a = .01 significance levelgiven that a sample of 34 customers gives a mean of 10.3 minutes and a standard deviation of 8 minutes. 1. State the claim as a mathematical inequality. 2. State the null hypothesis: Ho: 3. State the alternative hypothesis: H": 4. Draw a sketch of the t-distribution showing the rejection and do not reiect regions: 5. Calculate the citical value for t (t.): 5. Calculate your test statistic t from the sample data: (show your work) 7. State your decision (reject or do not reject Ho): 8. State your conclusion about the claim