Question

g Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 21​, upper bound is 25. The point estimate of the population mean is nothing. The margin of error for the confidence interval is nothing.

Answer 1

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 :-

$\overline{x}-\text{error}\leq\mu\leq\overline{x}+\text{error}$

Given : Lower bound: $\overline{x}-\text{error}=21$​

Upper bound :$\overline{x}+\text{error}= 25$

Then ,the sum of lower and upper bound will be :-

$2\overline{x}=21+25=46\\\\\Rightarrow\ \overline{x}=23$

Since $\overline{x}-\text{error}=21$​

$\Rightarrow\ \text{Error}=\overline{x}-21=23-21=2$

Hence, The point estimate of the population mean is 23. The margin of error for the confidence interval is 2.