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.

1. 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
2. The test-statistic for this data =  (Please show youranswer to 3 decimal places.)
3. The p-value for this sample =  (Please show youranswer to 4 decimal places.)
4. The p-value is Select an answer less than (or equal to) alphagreater than alpha  ??
5. Base on this, we should Select an answer fail to reject thenull hypothesis accept the null hypothesis reject the nullhypothesis  hypothesis
6. 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.