SOLUTION: construct a 90% confidence interval about the mean if sample size is 24 with sample meane 113 and standard diviation 10 and the same with 80%
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Question 430497: construct a 90% confidence interval about the mean if sample size is 24 with sample meane 113 and standard diviation 10 and the same with 80% Answer by ewatrrr(24785) (Show Source):
Hi
sample size is 24 with sample mean 113 and standard deviation 10
ME = 1.645[10/sqrt(24)]
90% confidence interval
CI: 113-ME < u < 113 +ME
80% confidence interval
ME = 1.282[10/sqrt(24)]
CI: 113-ME < u < 113+ME
Folowing a summary of various confidence interval values
a a/2 crtical regions
90% 0.1 5% z <-1.645 z >+1.645
95% 0.05 2.50% z <-1.96 z >+1.96
98% 0.02 1% z <-2.33 z >+2.33
99% 0.01 0.50% z<-2.575 z >+2.575
