Answer
The point estimate of the mean is [tex]\= x = 32[/tex]
The margin of error is [tex]E =6[/tex]
Explanation
From the question we are told that
The lower bound of the interval is [tex]a = 26[/tex]
The upper bound of the interval is [tex]b = 38[/tex]
Generally the point estimate of the population mean is mathematically represented as
[tex]\= x = \frac{a +b}{2}[/tex]
=> [tex]\= x = \frac{26 +38}{2}[/tex]
=> [tex]\= x = 32[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{ b- a}{2}[/tex]
=> [tex]E = \frac{ 38- 26}{2}[/tex]
=> [tex]E =6[/tex]
