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