Question: Let X1, . . ., Xn be a random sample from an N(, 2), where the value of 2 is unknown. (a) Construct a (1

Let X1, . . ., Xn be a random sample from an N(μ, σ2), where the value of σ2 is unknown.
(a) Construct a (1 – α) 100% confidence interval for σ2, choosing an appropriate pivot. Interpret its meaning.
(b) Suppose a random sample from a normal gives the following summary statistics: n = 21, = 44.3, and s = 3.96. Using part (a), find a 90% confidence interval for σ2. Interpret its meaning.

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