Question

Express the confidence interval (235.5, 348.7) in the form of overline x +ME

Answer 1

Hi,

`\overline{x}+ ME = 292.1 + 56.6.\\`

Step-by-step explanation: In a confidence interval,

• 
  `\overline{x}` represents the sample mean, and
• ME represents the margin of error.

The confidence interval (235.5, 348.7) indicates the range within which the population mean is likely to fall.

To express it in the form
`\overline{x}+ME`, you can find the midpoint of the interval and the half-width (half of the interval's range):

Midpoint (
`\overline{x}`):

`\overline{x} = (235.5 + 348.7)/(2) =292.1`

Half-width (ME):

`ME = (348.7 -- 235.5)/(2) =56.6`

Now you can express the confidence interval as

`\overline{x} + ME = 292.1 + 56.6`