SOLUTION: Construct the confidence interval for the population mean u . c=0.98​,x=4.1 ​, o=0.4 ​, and n=49 A ​98% confidence interval for u is

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Question 1173037: Construct the confidence interval for the population mean u .
c=0.98​,x=4.1 ​, o=0.4 ​, and n=49
A ​98% confidence interval for u is

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

c=0.98​,x=4.1 ​, o=0.4 ​, and n=49

df = 49-1 = 48 , c=0.98​ 

Using online Calculator/above values for t-value:   z= 2.4066 (t-critical value)

ME =+z%2Asigma%2Fsqrt%28n%29

ME =+2.4066%2As.4%2Fsqrt%2849%29 = 2.315

4.1- 2.3 < mu < 4.1 + 2.3

1.8 < mu <6.4

ONe may use charts or online calculators for t-values used for small samples

For Large Samples, following z-values are used

 = CI	z = value

90%	z =1.645

92%	z = 1.751

95%	z = 1.96

98%	z = 2.326

99%	z = 2.576