Please include written explanation on how you did it, so itll help me to underst
ID: 3239079 • Letter: P
Question
Please include written explanation on how you did it, so itll help me to understand. Thanks!
Below are data reporting the depression rates (in %) for 30 randomly selected states in the US. a. Use these data to compute a 95% confidence interval for the population mean depression rate for the US. Make sure to clearly indicate which calculator interval you are computing, and show that you checked the necessary conditions for inference. b. Interpret your interval from part a in the context of the problem.Explanation / Answer
here as n>=30 from above sample ; therefore we can use central limit theorum to calculate confidence limit.
from above necessary condition for infernence is met
a)std error of mean =std deviation/(n)1/2 =1.78/(30)1/2 =0.325
for 95% CI and (n-1=29 ) degree of freedom critical value of t=2.0452
hence 95 % confidence interval =sample mean -/+ t*std error =8.87 -/+ 2.0452*0.325 =8.2053 ; 9.5347
b)above interval gives 95% confidence to contain true population mean % of depression rate in US