Question

Based on worldwide cases, researchers at a School of Public Health estimate that Coronavirus has a mean disease incubation period (time from exposure to the development of symptoms) of 5.2 days. A Canadian Health Organization took a random sample of 16 Canadian COVID-19 patients and found the following incubation periods (in days): 6 2.9 5.4 7.2 4 4 4.7 4.5 4.9 33 3.2 6.2 4.2 3.6 4.1 4.4 Assume that the illness incubation period is approximately normally distributed. 1. Which of the following is a reasonable estimate for the 95% confidence interval for the population mean COVID-19 incubation period? (Note: To save computational time, assume sample mean = 4.538 and sample standard deviation s = 1.174.) O (2.662, 6.414) O (3.287, 5.789) O (3.913, 5.163)

Answer 1

= 0.95 Given Dock : R=4.538 S = 1.174 n = 16 0f-16-1=15 95%CI x=1-0.95 = 0.05 {=tx/pdf = t 0.825,15 = 2.131 (from & table) 95%CI =X&te x 8 h F4,538. + 2.181 x 1.174 V16 4.538 +0.625 С 951.45 3.913 ; 5.163 option . <5.2 X= 0.025 2. Hoo l = 5.2 Hil 25.2 Option b) t distribution because n=16 230 / option 2 tx, df at - 2.131 tonitical 0.025,15--2131 d) it. &- ll 4.53.85.2 3155 2.256 e). t= -2.256 <ta: -2.131 Do not Reject to f conclude that the mean incubation period among the Canadian Corio ir populatigo is Shater 1.174/17 -2.256