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]