A sample of certain observations selected from a normally distributed population produced a sample variance of 46.

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A sample of certain observations selected from a normally distributed population produced a sample variance of 46. Construct a 95% confidence interval for σ2 for each of the following cases and comment on what happens to the confidence interval of σ2 when the sample size increases.
a. n = 12
b. n = 16
c. n = 25
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