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Your explanations count for much more that simple correct answers. Your wording must be your own; using my words will not earn any credit; your explanations must indicate that you understand the material, not simply copy the explanations from somewhere else.

You must work on your own; collaboration will inevitably show up with similar wordings of the explana- tions and invalidate your answer.

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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

for any query in above comment

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