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The results of sampling independent populations:

Sample 1from population1

  • mean 80
  • Population variance 3
  • sample size 25

Sample 2 from population 2

  • mean 81
  • Population variance 2
  • sample size 50

Note that the population variance are known. Test H0: Population 1 mean -Population 2 mean ≤ 0 at α  0.05. HA: (population 1 mean -population 2 mean)> 0. This is a one tailed test with upper reject region and positive critical value.

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