A normal distribution having mean µ and variance s2

Reference no: EM13245096

Let x ¯ be the observed mean of a random sample of size n from a normal distribution having mean μ and variance σ2.
(a) Find n so that x ¯ - σ/4 to x ¯ + σ/4 is a 95% confidence interval for μ.
(b) Now, let us generalize the result in the previous part: Find n so that x ¯ - kσ to x ¯ + kσ is a 95% confidence interval for μ (Note that indeed this question is more general because if we take k = 1/4, it reduces to
part a).

Reference no: EM13245096

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