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 29 13 11 17 15 15 18 25 16 12 14 16 14 11 19 12 8 14 13 19 17 29 18   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 α=0.01α=0.01. H0: μ1=μ2=μ3H0: μ1=μ2=μ3 H1:H1: At least two of the means differ from each other. For this study, we should use  ANOVA The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.)

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