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A sample of 16 elements was extracted from a normal population. This sample had a mean...

A sample of 16 elements was extracted from a normal population. This sample had a mean of 48 units and a standard deviation of 4 units. A second sample of 22 elements was extracted from another normal population. This second sample had a mean of 52 units and a standard deviation of 10 units. Since the variance in the first population is different from the variance in the second population, test the claim at 95% confidence that the mean of the second population is greater than the mean of the first population.

  1. State the null and alternative hypotheses (1)
  2. State the critical value (1)
  3. Determine the test value (2)
  4. State the decision (1)

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