Suppose that X ~ N(μ, Ï2) and consider the point estimate for some fixed value μ0. Show

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Suppose that X ~ N(μ, σ2) and consider the point estimate
X + Ho

for some fixed value μ0. Show that this point estimate has a smaller mean square error than X when
|μ - μ0| ‰¤ ˆš3σ
Explain why it is not surprising that has a smaller mean square error than X when n is close to μ0.

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