Question: For a normal population with known variance 2 , answer the following questions: (a) What is the confidence level for the interval x

For a normal population with known variance σ2, answer the following questions: 

(a) What is the confidence level for the interval x̅ − 2.14σ √n ≤ μ ≤ x̅ + 2.14σ √n ?

(b) What is the confidence level for the interval x̅ − 2.49σ √n x − 2.49σ n ≤ μ ≤ x̅ + 2.49σ √n ?

(c) What is the confidence level for the interval x̅ −1.85σ √n ≤ μ ≤ x̅ + 1.85σ √n?

(d) What is the confidence level for the interval μ ≤ x̅ + 2.00σ √n ?

(e) What is the confidence level for the interval x −1.96σ √n ≤μ?

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