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 26 25 17 14 25 17 13 25 24 22 21 24 4. 19 11 14 12 16 20 19 21 21 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 = 0.05. Ho: µ1 = µ2 = µ3 H1: At least two of the means differ from each other.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
26
25
17
14
25
17
13
25
24
22
7
24
4
21
11
14
19
16
20
12
19
21
21
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 = 0.05.
Ho: µi = µ2 = µ3
H1: At least two of the means differ from each other.
1. For this study, we should use Select an answer e
(Please show your answer to 3 decimal places.)
2. The test-statistic for this data =
(Please show your answer to 4 decimal places.)
3. The p-value for this sample =
a
4. The p-value is Select an answer
O hypothesis
5. Base on this, we should Select an answer
6. As such, the final conclusion is that...
O 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.
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. Sent Home With Medicine A Few Hours in the Hospital Overnight Hospital Stay 26 25 17 14 25 17 13 25 24 22 7 24 4 21 11 14 19 16 20 12 19 21 21 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 = 0.05. Ho: µi = µ2 = µ3 H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer e (Please show your answer to 3 decimal places.) 2. The test-statistic for this data = (Please show your answer to 4 decimal places.) 3. The p-value for this sample = a 4. The p-value is Select an answer O hypothesis 5. Base on this, we should Select an answer 6. As such, the final conclusion is that... O 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.
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