ANSWER:
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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 = = 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
= 1-c = 1-0.95 = 0.05
/2 = 0.05/2 = 0.025
Critical value = t/2,df = t0.025,94 = 1.985523
95% CI = t/2,df * (s/sqrt(n))
95% CI = 5.6 1.985523* (15.7/sqrt(95))
95% CI = 5.6 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
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