likelihood estimator of n based on a random sample of size n

likelihood estimator of n based on a random sample of size n. 2- For a normal population with known variance o2 answer the following questions (a) What is the confidence level for the in 2.14 S u S 2.14-E? terval vn (b) What is the confidence level for the interval 2.49 2.49 Vn vn (c) What is the confidence level for the interval 1.85 Vn sus 1.85

Solution

a)

If z = 2.14, the are of the right tail is

alpha/2 = 0.016177383

Thus,

confidence level = 1 - alpha = 0.967645233 [ANSWER]

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b)

If z = 2.49, the are of the right tail is

alpha/2 = 0.006387155

Thus,

confidence level = 1 - alpha = 0.98722569 [ANSWER]

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c)

If z = 1.85, the are of the right tail is

alpha/2 = 0.032156775

Thus,

confidence level = 1 - alpha = 0.93568645 [ANSWER]