based on interviews with 95 SARS patients, researchers found that the mean incub
ID: 3153976 • Letter: B
Question
based on interviews with 95 SARS patients, researchers found that the mean incubation period was 4.6 days, with a standard deviation of 15.1 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 ? days. The upper bound is how many days? based on interviews with 95 SARS patients, researchers found that the mean incubation period was 4.6 days, with a standard deviation of 15.1 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 ? days. The upper bound is how many days? based on interviews with 95 SARS patients, researchers found that the mean incubation period was 4.6 days, with a standard deviation of 15.1 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 ? days. The upper bound is how many days?Explanation / Answer
Note that
Margin of Error E = z(alpha/2) * s / sqrt(n)
Lower Bound = X - z(alpha/2) * s / sqrt(n)
Upper Bound = X + z(alpha/2) * s / sqrt(n)
where
alpha/2 = (1 - confidence level)/2 = 0.025
X = sample mean = 4.6
z(alpha/2) = critical z for the confidence interval = 1.959963985
s = sample standard deviation = 15.1
n = sample size = 95
Thus,
Margin of Error E = 3.036429735
Lower bound = 1.563570265 [ANSWER]
Upper bound = 7.636429735 [ANSWER]
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We are 95% confident that the true mean incubation period is between 1.563570265 and 7.636429735 days. [ANSWER]
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