Question

Determine the point estimate of the population mean and margin of error for the confidence interval with lower bound 26 and upper bound 38.

Answer 1

The point estimate of the mean is
`\= x = 32`

The margin of error is
`E =6`

Explanation

From the question we are told that

The lower bound of the interval is
`a = 26`

The upper bound of the interval is
`b = 38`

Generally the point estimate of the population mean is mathematically represented as

`\= x = (a +b)/(2)`

=>
`\= x = (26 +38)/(2)`

=>
`\= x = 32`

Generally the margin of error is mathematically represented as

`E = ( b- a)/(2)`

=>
`E = ( 38- 26)/(2)`

=>
`E =6`