3. Hypothesis Testing: A geneticist interested in human populations has been studying growth patterns in American males since 1900. A monograph written in 1902 states that the mean height of adult American males is 67.0 inches with a standard deviation of 3.5 inches. Wishing to see if these values have changed over the twentieth century the geneticist measured a random sample of 28 adult American males and found that X = 69.4 inches and s = 4.0 inches. Are these values significantly different from the values published in 1902?
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