Answer:
The 95 % confidence intervals (653.3 , 657.0) for the population mean test score
Step-by-step explanation:
Given school districts n = 420
The average score (Population mean) μ = 655.2
and standard deviation σ = 19.1
The 95% of confidence intervals μ± 1.96 σ/√n
The 95% of confidence intervals (μ- 1.96 σ/√n , μ+ 1.96 σ/√n)
The 95% of confidence intervals
( ([tex]655.2-1.96\frac{19.1}{\sqrt{420} } , 655.2+1.96\frac{19.1}{\sqrt{420} }[/tex]) ,
(655.2-1.826 , 655.2+1.826)
(653.3 , 657.0)
Conclusion:-
The 95 % confidence intervals (653.3 , 657.0) for the population mean test score