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

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