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Consider a normal population distribution with the value of  known. a) What is the confidence level for the interval (i) x  1.96 n (ii) x  2.65 n (iii) x  3.34 n b) What value of z in the confidence interval formula x z  n x z  n   2  2  ,  results in a confidence level of (i) 97.96% (ii) 78.88% (iii) 99.94% c) Would a 90% C.I. be narrower or wider than the 99.94% C.I. in b)? Why?

Consider a normal population distribution with the value of σ known. a) What is the confidence level for the interval b) What value of z in the confidence interval formula results in a confidence level of (i) 97.96% (ii) 78.88% (iii) 99.94% c) would a 90% CL be narrower or wider than the 99.94% CL in b)? why?

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