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1. The following are samples of a normal distribution with mean θ and variance σ, both...

1. The following are samples of a normal distribution with mean θ and variance σ, 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 σ

3. With the data given in Problem 1, with σ

2 unknown, find a 95% confidende interval for θ

Math   Statistics-And-Probability   
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Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

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