Answer: The point estimate of the population mean is 23. The margin of error for the confidence interval is 2.
Step-by-step explanation:
The confidence interval for the mean is of the form is given by :-
[tex]\overline{x}-\text{error}\leq\mu\leq\overline{x}+\text{error}[/tex]
Given : Lower bound: [tex]\overline{x}-\text{error}=21[/tex]
Upper bound :[tex]\overline{x}+\text{error}= 25[/tex]
Then ,the sum of lower and upper bound will be :-
[tex]2\overline{x}=21+25=46\\\\\Rightarrow\ \overline{x}=23[/tex]
Since [tex]\overline{x}-\text{error}=21[/tex]
[tex]\Rightarrow\ \text{Error}=\overline{x}-21=23-21=2[/tex]
Hence, The point estimate of the population mean is 23. The margin of error for the confidence interval is 2.
