Let X be normally distributed with the variance Var=2. We sample X and determine the 98% confidence interval for the mean µ. How large should be the sample size n ? to ensure that µ is estimated within 0.5 or less?
Added by Robert W.
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Since the confidence level is 98%, the alpha value is 1 - 0.98 = 0.02. Divide this by 2 to get 0.01. Look up the Z value for 0.01 in the Z table, which is approximately 2.33. Show more…
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