Question

Post-exposure radiation levels are approximately Normally distributed. The levels (in Sv) of a random sample of three trauma victims who were recently exposed are 5.5, 6.2, and 4.8. A 95% confidence interval for the mean based on these data is:

Answer 1

Answer:

0.404

Explanation:

The calculation of confidence interval for the mean is shown below:-

Data provided in the question

Mean = 5.5

The Standard deviation for three values  is 0.7

Since there is 95% of the confidence interval so the critical value is

$t_{0.025.5} = 4.303$

Now

Margin error is

$t_{0.025.5} = 4.303\times \frac{s}{\sqrt{n} }$

$= 4.303\times \frac{0.7}{\sqrt{3} }$

= 1.74

Now,

The Standard error is

$= \frac{s}{\sqrt{n} }$

$= \frac{0.7}{\sqrt{3} }$

= 0.404

Hence, the confidence interval for the mean based is 0.404