Answer :
Answer: The sample mean salary of our sampled business majors= 60k .
Step-by-step explanation:
We know that a confidence interval is give by :_
[tex](\overline{x}-E,\ \overline{x}+E)[/tex] (i)
, where [tex]\overline{x}[/tex] = Sample mean
E = margin of error
Given : A 95% confidence interval for the true mean salary of graduating business majors: (50k, 70k).
As compared to (1) , we have
[tex]\overline{x}-E=50k--------(1)\\\\ \overline{x}+E=70k-------(2)[/tex]
Add (1) and (2) , we get
[tex]2\overline{x}=120k\\\\\overline{x}=60 k[/tex]
∴ The sample mean salary of our sampled business majors= 60k .