# Hypothesis Testing (Writing hypotheses)

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Question description

5)  The average height of American males (over 16) is known to be 69.2”.  This information is from a previous study.  Answer the following questions using the Height (HT) column as your sample.

(a)  You believe that the average height of males is actually less than 69.2”.  Test this claim and assume that σ = 3.12”.

(b)  You believe that the average height of males is actually less than 69.2”.  Test this claim and assume that σ is unknown.

(c)  Test the claim that the standard deviation of male heights is less than 3.12”, using the value of σ from part (a) as your known population s.d.

Height (HT) column:
 70.8 66.2 71.7 68.7 67.6 69.2 66.5 67.2 68.3 65.6 63 68.3 73.1 67.6 68 71 61.3 76.2 66.3 69.7 65.4 70 62.9 68.5 68.3 69.4 69.2 68 71.9 66.1 72.4 73 68 68.7 70.3 63.7 71.1 65.6 68.3 66.3

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