10 state which type of parameter is to be estimated, then construct the confidence interval
10. |
A simple random sample of size 17 has mean x̄ = 8.44 and standard deviation s = 5.38. The population is normally distributed. Construct a 95% confidence interval for the population standard deviation 10 state which type of parameter is to be estimated, then construct the confidence interval
|
given that
sample size =n=17
sample mean=m=8.44
sample SD=S=5.38
since in the question we have to calculate the confidence interval for standard deviation hence
here we are estimating population standard deviation
since we know that % confidence interval for SD is given by
where is upper chi square value with df of chi square=n-1
as we have to find 95% confidence interval then
here n=17 so DF=n-1=17-1=16
from chi square table with df=16 we get the values
so 95% confidence interval is given by
Get Answers For Free
Most questions answered within 1 hours.