Question

1. Assume that you have a sample of ?1 = 8, with the sample mean ?1...

1. Assume that you have a sample of ?1 = 8, with the sample mean ?1 = 42, and a sample

standard deviation ?1 = 4, and you have an independent sample of ?2 = 15 from another ̅̅̅

population with a sample mean of ?2 = 34 and a sample standard deviation ?2 = 5.

  1. a) What is the value of the pooled-variance ????? test statistic for testing ?0: ?1 = ?2?

  2. b) In finding the critical value, how many degrees of freedom are there?

  3. c) Using the level of significance ? = 0.01, what is the conclusion of a one-tail test of the

hypothesis ?0: ?1 ≤ ?2 against the alternative, ?1: ?1 > ?2?

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