Be sure to fully justify your responses when appropriate

Last updated: 12/10/2023

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 o we meet the assumptions for normality for this type of test justify your response