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

0.404

Step-by-step 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* (s)/(√(n) )`

`= 4.303* (0.7)/(√(3) )`

= 1.74

Now,

The Standard error is

`= (s)/(√(n) )`

`= (0.7)/(√(3) )`

= 0.404

Hence, the confidence interval for the mean based is 0.404