A large urban hospital is trying to reduce the number of readmitted patients within 30 days of discharge. Hospital administrators suspect that factors like age, length of hospital stay, and pre-existing conditions might be strong predictors of readmission. A data science team collects a random sample of n = 25 patient records to investigate this. Each record includes the number of days until readmission (if applicable), patient age, length of hospital stay, and a score measuring overall patient health on a standardized scale from 1 (poor health) to 10 (excellent health). The hospital wants to estimate the average health score of readmitted patients to understand whether lower health scores are associated with higher readmission rates. Copy and paste the following data into your R/RStudio console: x=c(2,3,4,4,10,8,10,3,6,4,2,0,1,4,4,8,5,8,3,7,7,5,2,4,5); (a) Find an 85% confidence interval for for the mean health score of readmitted patients. (Report as many digits as R gives you) (b) Correctly complete the interpretation of the 85% confidence interval you computed in part (a). Based on this sample the mean health score of readmitted for All patients readmitted within 30 days is somewhere between 1 and 0 (c) Can you conclude that the mean health score of readmitted patients is more than 2? Yes

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A large urban hospital is trying to reduce the number of readmitted patients within 30 days of discharge. Hospital administrators suspect that factors like age, length of
hospital stay, and pre-existing conditions might be strong predictors of readmission. A data science team collects a random sample of n = 25 patient records to
investigate this. Each record includes the number of days until readmission (if applicable), patient age, length of hospital stay, and a score measuring overall patient health
on a standardized scale from 1 (poor health) to 10 (excellent health). The hospital wants to estimate the average health score of readmitted patients to understand
whether lower health scores are associated with higher readmission rates.
Copy and paste the following data into your R/RStudio console:
x=c(2,3,4,4,10,8,10,3,6,4,2,0,1,4,4,8,5,8,3,7,7,5,2,4,5);
(a) Find an 85% confidence interval for for the mean health score of readmitted patients.
(Report as many digits as R gives you)
(b) Correctly complete the interpretation of the 85% confidence interval you computed in part (a).
Based on this sample
the mean health score of readmitted for All patients readmitted within 30 days
is
somewhere between
1 and
0
(c) Can you conclude that the mean health score of readmitted patients is more than 2?
Yes
Transcribed Image Text:A large urban hospital is trying to reduce the number of readmitted patients within 30 days of discharge. Hospital administrators suspect that factors like age, length of hospital stay, and pre-existing conditions might be strong predictors of readmission. A data science team collects a random sample of n = 25 patient records to investigate this. Each record includes the number of days until readmission (if applicable), patient age, length of hospital stay, and a score measuring overall patient health on a standardized scale from 1 (poor health) to 10 (excellent health). The hospital wants to estimate the average health score of readmitted patients to understand whether lower health scores are associated with higher readmission rates. Copy and paste the following data into your R/RStudio console: x=c(2,3,4,4,10,8,10,3,6,4,2,0,1,4,4,8,5,8,3,7,7,5,2,4,5); (a) Find an 85% confidence interval for for the mean health score of readmitted patients. (Report as many digits as R gives you) (b) Correctly complete the interpretation of the 85% confidence interval you computed in part (a). Based on this sample the mean health score of readmitted for All patients readmitted within 30 days is somewhere between 1 and 0 (c) Can you conclude that the mean health score of readmitted patients is more than 2? Yes
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