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Find the width of the 95% confidence interval for mean.

For a sample of 138 independent observations from a normal distribution of unknown μ and variance σ² = 2.6, the sample mean is 52.3. What is the width of the 95% confidence interval for μ?

(1) 0.269

(2) 0.538

(3) 6.3208

(4) 0.0116

(5) 0.0233

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