ITEC 1010 Study Guide - Final Guide: Variance, Confidence Interval

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13 Aug 2020

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Let two independent random samples, each of size 10, from two normaldistributions N(Î¼1, Ïƒ2)

and N(Î¼2, Ïƒ2) yield = 4.8, = 8.64, y = 5.6, = 7.88.Find a 95% confidence interval for Î¼1

âˆ’ Î¼2.

Step-1

From the given information,

and

Step-2

Let are random samples, from two normal distributions and

Then, the 95% confidence interval for is as follows:

Here, is the pooled sample variance,

Step-3

Substitute the values to obtained the 95% confidence interval, that is,

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