Answer:
So, the interval is : (7.206,7.794)
Step-by-step explanation:
The mean μ = 7.5
Standard deviation σ=3
n = 400
At 95% confidence interval, the z score is 1.96
[tex]7.5+1.96(\frac{3}{\sqrt{400} } )[/tex]
And [tex]7.5-1.96(\frac{3}{\sqrt{400} } )[/tex]
7.5+0.294 and 7.5-0.294
So, the interval is : (7.206,7.794)