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 Canada is 4.6 days. A random sample of 18 hospitals in one province had a mean LOS of 3.8 days and a standard deviation of 1.7 days. Assume that the sampled population is approximately normal. You are to construct a 95% confidence interval to see if the population mean of 4.6 days is true. Answer the followings: a. What is/are the critical value(s)? b. What is the margin of error? c. Identify the 95% confidence interval for the mean. d. Interpret the interval in terms of this application. Circle the letter of the correct answer below. A. The state can be 95% confident that its mean LOS is within this interval. B. The state can be 5% confident that its mean LOS is within this interval. C. The state can be 95% confident that its mean LOS is outside this interval. D. The state can be 95% confident that its mean LOS is 3.8 days. E. The state is confident that 95% of its mean LOS is described by this interval.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 Canada is 4.6 days. A random
sample of 18 hospitals in one province had a mean LOS of 3.8 days and a standard deviation of 1.7
days. Assume that the sampled population is approximately normal. You are to construct a 95%
confidence interval to see if the population mean of 4.6 days is true. Answer the followings:
a. What is/are the critical value(s)?
b. What is the margin of error?
c. Identify the 95% confidence interval for the mean.
d. Interpret the interval in terms of this application. Circle the letter of the correct answer below.
A. The state can be 95% confident that its mean LOS is within this interval.
B. The state can be 5% confident that its mean LOS is within this interval.
C. The state can be 95% confident that its mean LOS is outside this interval.
D. The state can be 95% confident that its mean LOS is 3.8 days.
E. The state is confident that 95% of its mean LOS is described by this interval.
Transcribed Image Text: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 Canada is 4.6 days. A random sample of 18 hospitals in one province had a mean LOS of 3.8 days and a standard deviation of 1.7 days. Assume that the sampled population is approximately normal. You are to construct a 95% confidence interval to see if the population mean of 4.6 days is true. Answer the followings: a. What is/are the critical value(s)? b. What is the margin of error? c. Identify the 95% confidence interval for the mean. d. Interpret the interval in terms of this application. Circle the letter of the correct answer below. A. The state can be 95% confident that its mean LOS is within this interval. B. The state can be 5% confident that its mean LOS is within this interval. C. The state can be 95% confident that its mean LOS is outside this interval. D. The state can be 95% confident that its mean LOS is 3.8 days. E. The state is confident that 95% of its mean LOS is described by this interval.
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