5)&nbsp The average height of American males (over16) is known

5)  The average height of American males (over16) is known to be 69.2”.  Thisinformation is from a previous study.  Answerthe following questions using the Height (HT) column as your sample.  (a) You believe that the average height of males is actually less than69.2”.  Test this claim and assume that σ= 3.12”.  (b) You believe that the average height of males is actually less than69.2”.  Test this claim and assume that σis unknown.  (c) Test the claim that the standard deviation of male heights is less than3.12”, using the value of σ from part (a) as your known population s.d.Height (HT) column: 70.866.271.768.767.669.266.567.268.365.66368.373.167.6687161.376.266.369.765.47062.968.568.369.469.26871.966.172.4736868.770.363.771.165.668.366.3