Question

Consider the interval.

(−2.7, 0.35)

Rewrite the interval using plus/minus notation.

Answer 1

`ME = (0.35 -(-2.7))/(2)= 1.525`

And in general a confidence interval for the true parameter
`\theta` is given by:

`\hat \theta \pm ME`

And we can write this like this:

`-1.175 \pm 1.525`

Explanation:

For this case we have a confidence interval for a true parameter of
`\theta`

`-2.7 \leq \theta \leq 0.35`

The point of estimate for the parameter is given by:

`\hat \theta = (-2.7+0.35)/(2)= -1.175`

And the margin of error can be calculated with this formula:

`ME = (Upper -Lower)/(2)`

And replacing we got:

`ME = (0.35 -(-2.7))/(2)= 1.525`

And in general a confidence interval for the true parameter
`\theta` is given by:

`\hat \theta \pm ME`

And we can write this like this:

`-1.175 \pm 1.525`