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 25 16 8 15 8 16 15 24 10 17 20 6 17 16 10 28 20 17 12 17 13 26 23   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             Incorrect 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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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
25 16 8
15 8 16
15 24 10
17 20 6
17 16 10
28 20 17
12 17 13
26 23  

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.

  1. For this study, we should use             Incorrect
  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    Incorrect αα 
  5. Base on this, we should     Incorrect hypothesis
  6. As such, the final conclusion is that...
    • There is sufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia.
    • There is insufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia.
    Incorrect
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