SOLUTION: Construct the indicated confidence interval for the population mean μ using the​ t-distribution. Assume the population is normally distributed. c=0.90​, x=13.5​, s=0.77â€

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Question 1204517: Construct the indicated confidence interval for the population mean μ using the​ t-distribution. Assume the population is normally distributed.
c=0.90​, x=13.5​, s=0.77​, n=15

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The formula for estimation is:


where:
= sample mean
= t statistic determined by confidence level
= standard error =
given





A % Confidence Interval will have the same critical values (rejection regions) as a two-tailed test with .

zc-CI90-Table-1024x426

so, z-score for % confidence interval is ±








% confidence interval is [, ]
You can be % confident that the population mean () falls between and .

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