A hospital wants to determine if the type of treatment forpneumonia is a factor in recovery time? The table below shows thenumber of days to recovery for several randomly selected pneumoniapatients that had various types of treatment.
| Sent Home With Medicine | A Few Hours in the Hospital | Overnight Hospital Stay |
|---|
| 22 | 8 | 8 |
| 19 | 15 | 18 |
| 18 | 12 | 18 |
| 22 | 23 | 4 |
| 27 | 18 | 5 |
| 14 | 10 | 10 |
| 30 | 18 | 18 |
| 23 | 8 | 8 |
| 9 | 17 |
Assume that all distributions are normal, the three populationstandard deviations are all the same, and the data was collectedindependently and randomly. Use a level of significance of?=0.1?=0.1.
H0: ?1=?2=?3H0: ?1=?2=?3
H1:H1: At least two of the means differ from each other.
- For this study, we should use Select an answer 1-PropZInt?²GOF-Test 1-PropZTest 2-PropZTest ?²-Test 2-SampTTest T-Test ANOVATInterval 2-SampTInt 2-PropZInt
- The test-statistic for this data = (Please show youranswer to 3 decimal places.)
- The p-value for this sample = (Please show youranswer to 4 decimal places.)
- The p-value is Select an answer less than (or equal to) alphagreater than alpha ??
- Base on this, we should Select an answer fail to reject thenull hypothesis accept the null hypothesis reject the nullhypothesis hypothesis
- As such, the final conclusion is that...
- There is sufficient evidence to support the claim thattreatment type is a factor in recovery time for pneumonia.
- There is insufficient evidence to support the claim thattreatment type is a factor in recovery time for pneumonia.
