Question

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1. The following are samples of a normal distribution with mean θ and variance σ2, both are unknown: 54.1, 53.3, 55.9, 56.0, 55.7.

Find an unbiased estimate for θ.
2. With the data given in Problem 1, with θ unknown, find an unbiased estimate for σ2.
3. With the data given in Problem 1, with σ2 unknown, find a 95% confidende interval for θ.

Answer 1

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