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B eton Med Based on interviews with 95 SARS patients, researchers found that the meanincubation period was 56 days, with a st
the lower bound =
and upper bound =

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Given that,

Based on interviews with 95 SARS patients, reserchers found that the mean incubation period was 5.6 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 vitus interpret the interval.

Mean = \bar{x} = 5.6 days

Standard deviation = s = 15.7

sample size = n = 95

Degree of freedom = df = n-1 = 95-1 = 94

95% confidence interval:

c = 95% = 95/100 = 0.95

\alpha = 1-c = 1-0.95 = 0.05

\alpha/2 = 0.05/2 = 0.025

Critical value = t\alpha/2,df = t0.025,94 = 1.985523

95% CI = \bar{x} \pm t\alpha/2,df * (s/sqrt(n))

95% CI = 5.6  \pm 1.985523* (15.7/sqrt(95))

95% CI = 5.6\pm 3.198252676

95% CI = ( 5.6- 3.198252676, 5.6+3.198252676)

95% CI = ( 2.401747324 , 8.798252676)

95% CI = ( 2.40 , 8.79) (Rounded to two decimal places)

lower bound = 2.40 days

upper bound = 8.79 days

----------------------------------------------------------------------The End ------------------------------------------------------------------------

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