Based on interviews with 96 SARS patients, researchers found that the mean incub
ID: 3159368 • Letter: B
Question
Based on interviews with 96 SARS patients, researchers found that the mean incubation period was 5.5 days, with a standard deviation of 14.1 days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.
The lower bound is: ______(Round to two decimal places)
The upper bound is: ______(Round to two decimal places)
Interpret the interval:
A) There is 95% confidence that the mean incubation period lies between the lower and upper bounds of the interval.
B) There is 95% confidence that the mean incubation period is less than the lower bound of the interval.
C) There is 95% probability that the mean incubation period lies between the lower and upper bounds of the interval.
D There is 95% confidence that the mean incubation period is greater than the upper bound of the interval.
Explanation / Answer
The standard error of mean is:
Root over s^2/n
=root over 14.1^2/96=1.44
The 95% confidence interval is:
X bar+/-t(0.95,95)*Sm/root over n
=5.5+/-1.9852*1.44/root over 96
=5.5+/-0.291
=(5.209,5.791)
A) There is 95% confidence that the mean incubation period lies between the lower and upper bounds of the interval.
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