The management of Regional Hospital has made substantial improvements in their hospital and would like to test and determine whether there has been a significant decrease in the average length of stay of their patients in their hospital. The following data has been accumulated before and after the improvements. At the 5% level, test to determine if there has been a significant reduction in the average length of stay.

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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The management of Regional Hospital has made substantial improvements in their hospital and would like to test and
determine whether there has been a significant decrease in the average length of stay of their patients in their hospital.
The following data has been accumulated before and after the improvements. At the 5% level, test to determine if there
has been a significant reduction in the average length of stay.
After
Before
Sample size
45
56
Mean (in days)
4.6
4.9
Standard Deviation (o)
.5
.55
a. Formulate the hypotheses.
b. Compute the test statistic.
Using the p-value approach, test to see if there has been a significant reduction in the average
C.
length of stay. Let a = .05.
d. What does the test result mean in the context of this problem?
Transcribed Image Text:The management of Regional Hospital has made substantial improvements in their hospital and would like to test and determine whether there has been a significant decrease in the average length of stay of their patients in their hospital. The following data has been accumulated before and after the improvements. At the 5% level, test to determine if there has been a significant reduction in the average length of stay. After Before Sample size 45 56 Mean (in days) 4.6 4.9 Standard Deviation (o) .5 .55 a. Formulate the hypotheses. b. Compute the test statistic. Using the p-value approach, test to see if there has been a significant reduction in the average C. length of stay. Let a = .05. d. What does the test result mean in the context of this problem?
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