SOLUTION: Construct the confidence interval for the population mean u. c=.98​,X=15.1 , o=9.0 ​, and n= 85 A ​98% confidence interval for u is ? ​

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Question 1173026: Construct the confidence interval for the population mean u.
c=.98​,X=15.1 , o=9.0 ​, and n= 85
A ​98% confidence interval for u is ?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi, ME =
c=.98, X= 15.1 , o=9.0 ​, and n= 85
From table: DF = 85-1 = 84, , z = 2.3716
DF 0.1 0.05 0.02 0.01
83 1.6634 1.9889 2.3721 2.6364
84 1.6632 1.9886
85 1.6630 1.9883 2.3710 2.6349
ME == 2.31
CI: 15.1-2.31 < u < 15.1+2.31
CI: 12.79 < u < 17.41
Note: we used the smaller sample size z = 2.37
NEED to Know:
What is considered a Large Enough Sample Size to use z scores below
a a/2 2-tailed crtical regions
80% 0.2 10%z <-1.28155 z >+1.28155
90% 0.1 5% z <-1.645 z >+1.645
92% 0.08 4% z <-1.751 z >+1.751
95% 0.05 2.50% z <-1.96 z >+1.96
98% 0.02 1% z <-2.326 z >+2.326
99% 0.01 0.50% z<-2.576 z >+2.576

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