Based on interivews with 84 SARS patients, researchers found that the mean incub

Question

Based on interivews with 84 SARS patients, researchers found that the mean incubation period was 4.3 days, with a standard deviation of 14.8 days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus.

the lower bound is ____ days. (round answer two decimal places as needed.)

the upper bound is ____ days  (round answer two decimal places as needed.)

Interpret the interval.(Select the correct answer below)

a. there is a 95% confidence that the mean incubation period lies between the lower and upper bounds of the interval.

b. there is a 95% confidence that the mean incubation period is less than the lower bound of the interval.

c. there is a 95% probbability that the mean incubation period lies between the lower and upper bounds of the interval.

d. there is a 95% confidence that the mean incubation period is greater than the upper bound of the interval

Explanation / Answer

Given a=1-0.95= 0.05, Z(0.025) = 1.96 (from standard normal table)

So the lower bound is

xbar - Z*s/vn =4.3 - 1.96*14.8/sqrt(84) =1.13

So the upper bound is

xbar + Z*s/vn =4.3 + 1.96*14.8/sqrt(84) =7.47

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a. there is a 95% confidence that the mean incubation period lies between the lower and upper bounds of the interval.

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