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StatisticsQ&A LibraryA random sample of nn measurements was selected from a population with standard deviation σ=12.7σ=12.7 and unknown mean μμ. Calculate a 9999 % confidence interval for μμ for each of the following situations: (a) n=70, x¯¯¯=81.4n=70, x¯=81.4 ≤μ≤≤μ≤ (b) n=85, x¯¯¯=81.4n=85, x¯=81.4 ≤μ≤≤μ≤ (c) n=115, x¯¯¯=81.4n=115, x¯=81.4 ≤μ≤≤μ≤ (d) In general, we can say that for the same confidence level, increasing the sample size the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the quotes.)Start your trial now! First week only $4.99!*arrow_forward*

Question

A random sample of nn measurements was selected from a population with standard deviation σ=12.7σ=12.7 and unknown mean μμ. Calculate a 9999 % confidence interval for μμ for each of the following situations:

(a) n=70, x¯¯¯=81.4n=70, x¯=81.4

≤μ≤≤μ≤

(b) n=85, x¯¯¯=81.4n=85, x¯=81.4

≤μ≤≤μ≤

(c) n=115, x¯¯¯=81.4n=115, x¯=81.4

≤μ≤≤μ≤

(d) In general, we can say that for the same confidence level, increasing the sample size the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the quotes.)

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