MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
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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.
- 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.)
- The p-value is Incorrect αα
- Base on this, we should Incorrect hypothesis
- 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.
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