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For a normal distributed population: N(μ, σ2 ), assume σ is a known constant, and we...

For a normal distributed population: N(μ, σ2

), assume σ is a known constant, and we want to construct
a 1-α level CI for μ. If we want the length of CI to be at most a, where a is a given positive constant,
then what’s the requirement of selecting sample size?

b)Same as question 1, but now is unknown. If we know that the sample variance s2 stables around some level and can be treated as a xed constant. Then what's the requirement of selecting sample size?

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