Respuesta :

Answer:

[tex] ME = \frac{0.35 -(-2.7)}{2}= 1.525[/tex]

And in general a confidence interval for the true parameter [tex]\theta [/tex] is given by:

[tex]\hat \theta \pm ME[/tex]

And we can write this like this:

[tex] -1.175 \pm 1.525 [/tex]

Step-by-step explanation:

For this case we have a confidence interval for a true parameter of [tex]\theta[/tex]

[tex] -2.7 \leq \theta \leq 0.35[/tex]

The point of estimate for the parameter is given by:

[tex]\hat \theta = \frac{-2.7+0.35}{2}= -1.175[/tex]

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

[tex] ME = \frac{Upper -Lower}{2}[/tex]

And replacing we got:

[tex] ME = \frac{0.35 -(-2.7)}{2}= 1.525[/tex]

And in general a confidence interval for the true parameter [tex]\theta [/tex] is given by:

[tex]\hat \theta \pm ME[/tex]

And we can write this like this:

[tex] -1.175 \pm 1.525 [/tex]