T10.11. Researchers wondered whether maintaining a patient's body temperature close to normal by heating the patient during surgery would affect wound infection rates. Patients were assigned at random to two mothermic group (patients' core temperatures were main- tained at near normal, 36.5°C, with heating blankets) and the hypothermic group (patients' core temperatures were allowed to decrease to about 34.5°C). If keeping patients warm during surgery alters the chance of infection, patients in the two groups should have hospital stays of very differ- ent lengths. Here are summary statistics on hospital stay (in number of days) for the two groups: groups: the nor- Group Sx Normothermic 104 12.1 4.4 Hypothermic 96 14.7 6.5 (a) Construct and interpret a 95% confidence interval for the difference in the true mean length of hospital stay for normothermic and hypothermic patients. (b) Does your interval in part (a) suggest that keeping patients warm during surgery affects the average length of patients' hospital stays? Justify your answer.

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T10.11. Researchers wondered whether maintaining a
patient's body temperature close to normal by heating the
patient during surgery would affect wound infection rates.
Patients were assigned at random to two
mothermic group (patients' core temperatures were main-
tained at near normal, 36.5°C, with heating blankets) and
the hypothermic group (patients' core temperatures were
allowed to decrease to about 34.5°C). If keeping patients
warm during surgery alters the chance of infection, patients
in the two groups should have hospital stays of very differ-
ent lengths. Here are summary statistics on hospital stay (in
number of days) for the two groups:
groups:
the
nor-
Group
Sx
Normothermic
104
12.1
4.4
Hypothermic
96
14.7
6.5
(a) Construct and interpret a 95% confidence interval for
the difference in the true mean length of hospital stay for
normothermic and hypothermic patients.
(b) Does your interval in part (a) suggest that keeping
patients warm during surgery affects the average length of
patients' hospital stays? Justify your answer.
Transcribed Image Text:T10.11. Researchers wondered whether maintaining a patient's body temperature close to normal by heating the patient during surgery would affect wound infection rates. Patients were assigned at random to two mothermic group (patients' core temperatures were main- tained at near normal, 36.5°C, with heating blankets) and the hypothermic group (patients' core temperatures were allowed to decrease to about 34.5°C). If keeping patients warm during surgery alters the chance of infection, patients in the two groups should have hospital stays of very differ- ent lengths. Here are summary statistics on hospital stay (in number of days) for the two groups: groups: the nor- Group Sx Normothermic 104 12.1 4.4 Hypothermic 96 14.7 6.5 (a) Construct and interpret a 95% confidence interval for the difference in the true mean length of hospital stay for normothermic and hypothermic patients. (b) Does your interval in part (a) suggest that keeping patients warm during surgery affects the average length of patients' hospital stays? Justify your answer.
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