Answer:
The confidence interval is ![22.805](https://tex.z-dn.net/?f=22.805%3C%5Cmu%3C24.575)
Step-by-step explanation:
We have given,
The Z interval (23.305,25.075)
Mean ![\bar{x}=23.69](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D23.69)
Sample n=30
To find : The confidence interval?
Solution :
We know, The confidence interval is in the format of
![\bar{x}-E](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D-E%3C%5Cmu%3C%5Cbar%7Bx%7D%2BE)
E denotes the margin of error,
![E=\frac{U-L}{2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BU-L%7D%7B2%7D)
Where, U is the upper limit U=25.075
L is the lower limit L=23.305
![E=\frac{25.075-23.305}{2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B25.075-23.305%7D%7B2%7D)
![E=\frac{1.77}{2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1.77%7D%7B2%7D)
![E=0.885](https://tex.z-dn.net/?f=E%3D0.885)
Substitute the value of E and
in the formula,
![23.69-0.885](https://tex.z-dn.net/?f=23.69-0.885%3C%5Cmu%3C23.69%2B0.885)
![22.805](https://tex.z-dn.net/?f=22.805%3C%5Cmu%3C24.575)
Therefore, The confidence interval is ![22.805](https://tex.z-dn.net/?f=22.805%3C%5Cmu%3C24.575)