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1 markPaper 1 · Multiple choiceHypothesis Testing

CAPE Applied Mathematics Unit 1 · 2018 · Paper 1 · Question Q33

The mean age of teachers in a certain country is 30 years. A random sample of 49 teachers yields a mean age of 33.08 years. Using a population standard deviation of 12 years, a z-test at the 5% significance level was conducted with H_0: \mu = 30 and H_1: \mu \neq 30. The test statistic of the mean, to 2 decimal places, is

  1. (A)0.49
  2. (B)1.04
  3. (C)1.80
  4. (D)5.28

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