Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay​ (LOS) of their patients. The average LOS in the United States is 4.6 days ​(Healthcare Cost and Utilization Project Statistical Brief​, December​ 2018). A random sample of 22 hospitals in one state had a mean LOS of 3.6 days and a standard deviation of 2.1 days. Assume that the sampled population is approximately normal. Complete parts a through c.       Question content area bottom Part 1 a. Use a 99​% confidence interval to estimate the population mean LOS for the​ state's hospitals.   enter your response here, enter your response here ​(Round to three decimal places as​ needed.)

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Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay​ (LOS) of their patients. The average LOS in the United States is 4.6 days
​(Healthcare
Cost and Utilization Project Statistical
Brief​,
December​ 2018). A random sample of
22
hospitals in one state had a mean LOS of
3.6
days and a standard deviation of
2.1
days. Assume that the sampled population is approximately normal. Complete parts a through c.
 
 
 

Question content area bottom

Part 1
a. Use a
99​%
confidence interval to estimate the population mean LOS for the​ state's hospitals.
 
enter your response here, enter your response here
​(Round to three decimal places as​ needed.)

 

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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
What is meant by the phrase
​"99​%
confidence​ interval" in this​ exercise?
 
The phrase
​"99​%
confidence​ interval" means that if many intervals were constructed using the same methods and the same
 
sample size,
sample variance,
population variance,
sample mean,
population mean,
sample standard deviation,
population standard deviation,
then
enter your response here​%
of those intervals would contain the true
 
population variance.
population standard deviation.
sample variance.
population mean.
sample standard deviation.
sample mean.
sample size.

 

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Follow-up Question

The phrase

​"99​%

confidence​ interval" means that if many intervals were constructed using the same methods and the same

 
sample size,
sample variance,
population variance,
sample mean,
population mean,
sample standard deviation,
population standard deviation,

then

enter your response here​%

of those intervals would contain the true

 
population variance.
population standard deviation.
sample variance.
population mean.
sample standard deviation.
sample mean.
sample size.

 

Solution
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Follow-up Question
Interpret the interval in terms of this application. Choose the correct answer below.
 
 
A.
The state is confident that
99​%
of its mean LOS is described by this interval.
 
B.
The state can be
1​%
confident that its mean LOS is within this interval.
 
C.
The state can be
99​%
confident that its mean LOS is outside this interval.
 
D.
The state can be
99​%
confident that its mean LOS is
3.6
days.
 
E.
The state can be
99​%
confident that its mean LOS is within this interval.

 

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