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 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 Our sample size of 35 patients is greater than 30 With the central limit theorer suggesting that the distribution of the sample mean tends to approach normality as the sample size increases it is reasonable to assume normality is present C Write the hypotheses for this test symbolically Ho H 16 minutes Ha 16 minutes d Find the sample statistic test statistic and p value You may need to use an online calculator to find your p value https www socscistatistics com pvalues tdistribution aspx or if you have use the TI 84 hypothesis test feature that is also allowed sample statistic 16 7 minutes test statistic Z 0 099936408 p value 0 2421 e What is our conclusion Justify your response There is insufficient evidence to support the claim that the average waiting time in the emergency room is greater than 16 minutes f Interpret this result in context in a complete sentence