3 of 5 A hospital administrator has set a goal of having arriving patients seen in the same amount of time whether they arrive at the hospital's Emergency Room or the Urgent Care clinic. The hospital clinical services director thinks they are not meeting the goal of equal "time to be seen" yet and has collected data from arriving patients to use in a statistical test. The director has decided to use an alpha of .05 and the p-value approach in her statistical test. She has determined that the data are normally distributed. Respond to the prompts that follow. (1 point each) ER Urgent Care sample size n 8 10 time to be seen x 41 minutes 45 minutes sample SD s 18 20 a. State the null and alternative hypotheses in words and in symbols. b. What statistical test would be appropriate in this case and would it be right-tailed, left-tailed or two-tailed? Give the rationale for your choice. c. Calculate the standard error of the test statistic. d. Calculate the value of the test statistic and report the p-value (use technology for the p-value). e. State a decision based on the calculated value of the test statistic and its p-value and provide a rationale for that decision