A) State the null and alternative hypothesis for this testB) determine if this test is left tailed right tailed or two tailedC) should the standard normal Z distribution or students t-distribution be used for this test ? D) determine the critical values for this hypothesis test around the solutions to two decimal places if more than one critical value exist answer the solutions using a comma separated listE) determine the Test statistic round the solution to two decimal placesF) Determine the appropriate decision for this hypothesis test

Hospital emergency rooms (ERs) have a bad reputation for long wait times. To improve their image, many hospitals have worked hard to reduce their ER wait times and frequently advertise their improved, low ER wait times. St. Lucie Medical Center recently advertised a 26 minute or less wait time at their ER. An accreditation agency is suspicious of this low advertised wait time and would like to test the hospital's claim. A random sample of 79 ER visits to St. Lucie Medical Center was examined and the mean wait time of the sample was found to be 27.86 minutes. Using a significance level of 0.5%, can the accreditation agency conclude that the hospital's claim about ER wait times is false? Assume that the standard deviation of the wait times of all ER visits at St. Lucie Medical Center is known to be 5.03 minutes. Use the critical value method. State the null and alternative hypothesis for this test. Ho: H Zv H1 : ? v