A confidence interval for a mean always contains the sample mean.
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(a) Keeping all else fixed, the confidence interval gets wider as we increase the confidence level. (b) A confidence interval for a population mean always contains the sample mean. (c) Keeping all else fixed, the confidence interval gets narrower as we increase the sample size. (d) Keeping all else fixed, as the population standard deviation increases, the con- fidence interval decreases in width.
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