Assume that the heights of American men are normally distributed with a mean of 69.1 inches and a standard deviation of 3.3 inches. Of the 44 presidents elected from 1789 through 2016, 19 were 6'0" or taller. The proportion of all men that will be taller than 6'0" is 0.18976.   If the 44 presidents could be considered a random sample of 44 American men, how many standard deviations above the mean would an observation of 19 out of 44 of the men being 6'0" tall or taller be? (Hint: We can consider the number of men 6'0" tall or taller in a random sample of 44 men to be a binomial random variable where the probability of selecting a man 6'0" tall or taller is the proportion of American men 6'0" tall or taller. Round your answer to two decimal places.)   Z = ?

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