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. Overnight Hospital Stay A Few Hours in the Hospital Sent Home With Medicine 11 8 25 12 20 22 17 18 19 20 16 12 15 13 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: μι = μ2 = 13 H₁: At least two of the means differ from each other. 1. For this study, we should use Select an answer ✓ 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) 3. The p-value for this sample= 4. The p-value is Select an answer 5. Base on this, we should Select an answer 6. As such, the final conclusion is that... 30 13 26 16 13 25 14 α hypothesis There is insufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia. There is sufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia.

MATLAB: An Introduction with Applications
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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.
Overnight Hospital Stay
18
19
20
16
12
15
13
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.
A Few Hours in the Hospital Sent Home With Medicine
11
8
25
12
20
22
17
Ho: μ₁ = = μ₂ = μ3
H₁: At least two of the means differ from each other.
1. For this study, we should use Select an answer ✓
2. The test-statistic for this data :
(Please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
3. The p-value for this sample=
4. The p-value is Select an answer
5. Base on this, we should Select an answer
6. As such, the final conclusion is that...
a
30
13
26
16
13
25
14
hypothesis
There is insufficient evidence to support the claim that treatment type is a factor in
recovery time for pneumonia.
O There is sufficient evidence to support the claim that treatment type is a factor in
recovery time for pneumonia.
Transcribed Image Text: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. Overnight Hospital Stay 18 19 20 16 12 15 13 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. A Few Hours in the Hospital Sent Home With Medicine 11 8 25 12 20 22 17 Ho: μ₁ = = μ₂ = μ3 H₁: At least two of the means differ from each other. 1. For this study, we should use Select an answer ✓ 2. The test-statistic for this data : (Please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) 3. The p-value for this sample= 4. The p-value is Select an answer 5. Base on this, we should Select an answer 6. As such, the final conclusion is that... a 30 13 26 16 13 25 14 hypothesis There is insufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia. O There is sufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia.
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