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Based on interviews with 88 SARS patients researchers found that the mean incuba

ID: 3257282 • Letter: B

Question

Based on interviews with 88 SARS patients researchers found that the mean incubation period was 5.5 days with a standard deviation of 15 6 days information. construct a 95% confidence interval for the mean incubation period of the SAPS virus Interpret the interval The lower bound is days (Round to two decimal places as needed) The upper bound is days (Round to two decimal places as needed) Interpret the interval Choose the correct answer below A. There is 95% confidence that the mean incubation period is greater than the upper bound of the interval B. There is 95% confidence that the mean incubation period lies between the lower and upper bounds of the internal C. There is a 95% probability that the mean incubation period lies between the lower and upper bounds of the interval D. There is 95% confidence that the mean incubation period is less than the lower bound of the interval

Explanation / Answer

Solution:- Given a = 1 - 0.95 = 0.05,Z(0.025) = 1.96(standard normal table)
so 95% confidence interval is
= X+Z*(s/(sqrtn))
  
--> 5.5 ± 1.96*(15.6/sqrt (88))

--> 5.5 ± 1.96*(1.6629)

--> 2.2407,8.7592

The lower bound is 2.24 days

The upper bound is 8.76 days

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