35 Among the factors involved in building a confidence interval are: the sample

Question

35 Among the factors involved in building a confidence interval are: the sample size n, the level of confidence, and the margin of error. Which of the following statements are true? a For a given sample size, a higher confidence level means a smaller margin of error. b For a given confidence level, a sample 16 times as large will make a margin of error one-fourth as big. c For a specified confidence level, larger samples provide smaller margins of error. d Both a and b are true. e Both b and c are true. 35 Among the factors involved in building a confidence interval are: the sample size n, the level of confidence, and the margin of error. Which of the following statements are true? a For a given sample size, a higher confidence level means a smaller margin of error. b For a given confidence level, a sample 16 times as large will make a margin of error one-fourth as big. c For a specified confidence level, larger samples provide smaller margins of error. d Both a and b are true. e Both b and c are true.

Explanation / Answer

Option-E) both b and C are true.   

Because, Margin of error = critical value * sd/sqrt(n)   

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