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1 markPaper 1 · Multiple choiceSampling Distribution and Estimation

CAPE Applied Mathematics Unit 1 · 2014 · Paper 1 · Question Q41

Given a random sample of size n with mean \bar{x} and standard deviation \hat{\sigma}, then a 90\% confidence interval for the population mean is

  1. (A)\bar{x} \pm 2.326\frac{\hat{\sigma}}{\sqrt{n}}
  2. (B)\bar{x} \pm 1.960\frac{\hat{\sigma}}{\sqrt{n}}
  3. (C)\bar{x} \pm 1.645\frac{\hat{\sigma}}{\sqrt{n}}
  4. (D)\bar{x} \pm 1.282\frac{\hat{\sigma}}{\sqrt{n}}

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