Question

Based on interviews with 62 SARS patients, researchers found that the mean noutation period was 4.3 days, with a standard deviation of 14.9 days. Based on this information, construct a 95% confidence interval for the moon incubation period of the SARS virus. Interpret the interval The lower bound is days. (Round to two decimal places as needed.) The upper bound in days. (Round to two decimal places as needed) Interpret the interval Choose the correct answer below. O A There is 95% confidence that the meanincubation period is greater than the upper bound of the interval OB. There is so confidence that the mean incubation periodes between the lower and upper bounds of the interval OC. There is a probability that the mean incubation period lies between the lower and upper bounds of the interval OD. There is confidence that the mean incubation period is less than the lower bound of the interval Click to select your answers

Answer 1

Answer:

Given that,

$\rightarrow$ Based on interviews with 82 SARS​ patients, researchers found that the mean incubation period was 4.8 ​days, with a standard deviation of 14.9 days.

$\rightarrow$ Based on this​ information.

Construct a​ 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval:

n=82

=4.8

T

s=14.9

$\rightarrow$ The 95% C.I for mean is,

S ītn-1,0/2 X n

$\Rightarrow \left ( 4.8\pm t_{81,0.025}\times \frac{14.9}{\sqrt{82}} \right )$

4.8 +1.989 x 14.9 82

$\Rightarrow \left ( 4.8\pm 1.989\times 1.6454 \right )$

$\Rightarrow \left ( 4.8\pm 3.2727 \right )$

=(4.8-3.2727, 4.8+3.2727)

=(1.5273, 8.0727)

Therefore,

The upper bound=8.0727

The lower bound=1.5273

Answer: Option (B)