11. Based on interviews with 100 SARS patients, researchers found that the mean

Question

11. Based on interviews with 100 SARS patients, researchers found that the mean incubation period was 5.1 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 isd The upper bound is Interpret the interval. Choose the correct answer below. days. (Round to two decimal places as needed.) days. (Round to two decimal places as needed.) A. There is 95% confidence that the mean incubation period is less than the lower bound of the interval. B. There is 95% confidence that the mean incubation period is greater than the upper bound of the interval. ° C. There is 95% confidence that the mean incubation period lies between the lower and upper bounds of the interval. O D. There is a 95% probability that the mean incubation period lies between the lower and upper bounds of the interval.

Explanation / Answer

mean is 5.1 and s is 14.1

for sample size of 100, standard error SE=s/sqrt(N)=14.1/sqrt(100)=1.41

z for 95% confidence is 1.96

thus lower bound is mean-z*SE=5.1-1.96*1.41=2.3364

upper bound is mean+z*SE=5.11.96*1.41=7.8636

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