Image Hospital emergency rooms ERS have a bad reputation for long wait times hospitals have worked hard to reduce their ER wait times and frequently advertise their improved low ER wait times Raulerson Hospital recently advertised a 13 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 128 ER visits to Raulerson Hospital was examined and the mean wait time of the sample was found to be 13 2 minutes Using a 0 02 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 Raulerson Hospital is known to be 1 56 minutes Use the critical value method State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed right tailed left tailed two tailed Should the standard normal z distribution or Student s t distribution be used for this test The standard normal z distribution should be used The Student s t distribution should be used Determine the critical value s for this hypothesis test Round the solution s to two decimal places If more than one critical value exists enter the solutions using a comma separated list Determine the test statistic Round the solution to two decimal places Determine the appropriate conclusion for this hypothesis test The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 13 minutes and thus we conclude that the hospital s claim that the mean ER wait time is 13 minutes or less is likely false or less is likely The sample data do not provide sufficient evidence to reject the null hypothesis that the mean ER wait time at is 13 less minutes and thus we conclude that the hospital s claim that the mean ER wait time is 13 or less minutes is likely true The sample data provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 13 minuter and