Question

Based on interviews with 92 SARS​ patients, researchers found that the mean incubation period was 5.9 ​days, with a standard deviation of 14.4 days. Based on this​ information, construct a​ 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.

a) What is the upper bound?

Answer 1

Solution :

Given that,

Point estimate = sample mean = = 5.9

Population standard deviation = = 14.4

Sample size = n = 92

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

Z_/2 = Z _0.05 = 1.645

Margin of error = E = Z_/2* ( /n)

= 1.645 * (14.4 / 92)

= 2.5

Upper bound = + E = 5.9 + 2.5 = 8.4