Be sure to fully justify your responses when appropriate! Round probabilities to 4 decimal points. Don't forge Units and use complete sentences when interpreting your result. [8 pts] A local hospital advertises that the average wait time in their emergency room is 16 minutes, but we believe that it is longer than that. After randomly collecting wait times from a sample of 35 patients, we found that their average wait time was 16.7 minutes with a standard deviation of 5.92 minutes. Run a test at the .05 significance level. a. What type of test are we using? Determine if a test is left-tailed, right-tailed, or two-tailed. We are using a one-sample test as this is appropriate for when we have a sample and want to compare the sample mean to a known population mean. Since we're interested in whether the average wait time is significantly less than or greater than 16 minutes, this is a two-tailed test. b. Do we meet the assumptions for normality for this type of test (justify your response)