Question

Based on interviews with 100 SARS patients, researchers found that the mean incubation period was 4.4 days, with a standard deviation of 15.7 days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.

Determine the lower bound, rounding to two decimal places.

Determine the upper bound, rounding to two decimal places.

Interpret the confidence interval.

Answer #1

Given that, sample size ( n ) = 100

sample mean = 4.4 days and standard deviation = 15.7 days

A 95% confidence level has significance level of 0.05 and
critical value is, Z^{*} = 1.96

The 95% confidence interval for the mean incubation period of the SARS virus is,

Therefore, lower bound = **1.32**

upper bound = **7.48**

Interpretation : we are 95% confident that the mean incubation
period of the SARS virus is between **1.32** and
**7.48**

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