Question

Consider the following data for two independent random samples taken from two normal populations with equal...

Consider the following data for two independent random samples taken from two normal populations with equal variances. Find the 80% confidence interval for u1 and u2.

Sample 1: 7, 4, 10, 10, 6, 11

Sample 2: 13, 16, 10, 9, 13, 14

What is the left endpoint and right endpoint? Please explain in detail.

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Answer #1

The statistical software output for this problem is :

Two sample T confidence interval:

1 : Mean of 1
μ2 : Mean of 2
μ1 - μ2 : Difference between two means
(with pooled variances)

80% confidence interval results:

Difference Sample Diff. Std. Err. DF L. Limit U. Limit
μ1 - μ2 -4.5 1.5438048 10 -6.6183837 -2.3816163

left endpoint = -6.6183837

right endpoint = -2.3816163

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