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. A Few Hours in the Hospital Overnight Hospital Stay Sent Home With Medicine 10 8 27 15 12 21 12 17 24 13 10 28 11 12 20 11 12 22 10 18 14 16   12 16     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=0.05α=0.05. H0: μ1=μ2=μ3H0: μ1=μ2=μ3 Ha:Ha: At least two of the means differ from each other. For this study, we should use              The test-statistic for this data =  (Please show your answer to 4 decimal places.) The p-value for this sample =  (Please show your answer to 4 decimal places.)

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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.

A Few Hours in the Hospital Overnight Hospital Stay Sent Home With Medicine
10 8 27
15 12 21
12 17 24
13 10 28
11 12 20
11 12 22
10 18 14
16   12
16    

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=0.05α=0.05.

H0: μ1=μ2=μ3H0: μ1=μ2=μ3
Ha:Ha: At least two of the means differ from each other.

  1. For this study, we should use             
  2. The test-statistic for this data =  (Please show your answer to 4 decimal places.)
  3. The p-value for this sample =  (Please show your answer to 4 decimal places.)
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