Answer: The point estimate of the population mean and margin of error for the confidence interval is 22 and 6 respectively.
Step-by-step explanation:
The confidence interval for population mean is given by :-
[tex](\overline{x}- E,\ \overline{x}+E)[/tex], where [tex]\overeline{x}[/tex] is the sample mean and E is the margin of error.
Given : Lower bound is 16 and upper bound is 28
Then, [tex]\overline{x}- E=16[/tex] and [tex]\overline{x}+ E=28[/tex]
Adding both equations , we get
[tex]2\overeline{x}=44\Rightarrow\overline{x}=22[/tex]
Put [tex]\overline{x}=22[/tex] in first equation, we get
[tex]22- E=16\Rightarrow\ E=22-16=6[/tex]
Hence, the point estimate of the population mean and margin of error for the confidence interval is 22 and 6 respectively.
