Question: . With 90% confidence for sample mean 378.00sample standard deviation 14.90, and sample size 35 what is the upper confidence limit with 2 decimal places?

. With 90% confidence for sample mean 378.00sample standard deviation 14.90, and sample size 35 what is the upper confidence limit with 2 decimal places?.

Upper confidence limit =350.23 ( Upto 2 decimal places )

Explanation:

From 100(1- )% confidence interval is given by, [ Xt,n1n , X+t,n1n]

X = sample mean = 378

s= sample standard deviation = 14.80

n=sample size = 35

=0.1 [For, 90% confidence interval]

t2,n1 = Upper 100*(1- )% confidence interval of t distribution with (n-1) degrees of freedom.

t2,n1 = 1.690924

Upper confidence limit = 378 + 3514.8 *1.690924 = 352.45

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