Question: It has been claimed that the mean weight of women at a college is 54.4 kgs.  Prof Hart doubts this statement and sets out to show that the mean weight is not 54.4 kg.  To test the claim, he takes a random sample of 100 weights from among the women. A sample mean of 53.75 kg results.  Is this sufficient evidence for the professor to reject the claim?  Use alpha = .05 and sigma = 5.4 kg.

1. State the null and alternate hypotheses.
   b.  Calculate the z test statistic
   c.  Find the critical values and the critical regions
   d.  State the conclusion
   e.  state the p-value for this test
   
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