Question 2 A hospital wants to determine if the type of treatment for pneumonia is a factor In recovery time? The table below shows the number of days to recovery for several randomly selected pneumonia patients that had various types of treatment. Sent Home With Medicine |A Few Hours in the Hospital |Overnight Hospital Stay 30 25 15 18 24 5 16 18 18 30 13 18 18 12 10 29 24 17 27 10 14 25 18 19 9 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.01. Ho: H1 = /2 = M3 H1 : At least two of the means differ from each other. 1. For this study, we should use Select an answer v 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer va 5. Base on this, we should Select an answer hypothesis 6. As such, the final conclusion is that... O There is sufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia. O There is insufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia. Hint