A psychologist at the Royal Ottawa Hospital was asked to determine whether there was any clear difference in the length of stay (in days) of patients with different categories of diagnosis. The hospital was looking for ways to reduce costs and free up some more beds so that they could treat more patients from the community. They chose three diagnostic categories that they thought were possibly staying the longest and selected the 4 more recent admissions from each of these diagnostic categories: affective disorders, cognitive disorders, and drug-related disorders. The results are presented in Table 3 below. Using an alpha = .05 and showing all the steps of hypothesis testing, is there a significant difference in length of stay among diagnosistic categories?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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A psychologist at the Royal Ottawa Hospital was asked to determine whether there was any clear difference in the length of stay (in days) of patients with different categories of diagnosis. The hospital was looking for ways to reduce costs and free up some more beds so that they could treat more patients from the community. They chose three diagnostic categories that they thought were possibly staying the longest and selected the 4 more recent admissions from each of these diagnostic categories: affective disorders, cognitive disorders, and drug-related disorders. The results are presented in Table 3 below. Using an alpha = .05 and showing all the steps of hypothesis testing, is there a significant difference in length of stay among diagnosistic categories? 

 

Table 3. Length of stay (in days)
Affective Disorders
7
6
5
6
Diagnostic Category
Cognitive Disorders
12
8
9
11
Drug-Related Disorders
8
10
12
10
Transcribed Image Text:Table 3. Length of stay (in days) Affective Disorders 7 6 5 6 Diagnostic Category Cognitive Disorders 12 8 9 11 Drug-Related Disorders 8 10 12 10
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