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HW 15: Normal Distribution Women's Height: In an Anthropology 105 class, women's heights had a normal distribution with a mean of 163.4 cm and a standard deviation of 6.7 cm. 34% 34% Write the 2.35% 2.35% heights in 0.15% 13.5% 13.5% 0.15% inches that are represented in H-30 H-20 H-O Hto H+20 1+30 1- the diagram on the lines. -3 -2 2 1. Convert the average height of 163.4 cm to inches. (Rounded to one decimal place) 2. Convert the standard deviation of 6.7 cm to inches. (Rounded to one decimal place) 3. Using the mean (average) and standard deviation in inches that you calculated in questions 1 & 2, label the heights in inches at the bottom of the normal curve above. 4. The middle 68% of women represented are between what two heights? Give a range of heights (Round to one decimal place) 5. The middle 95% of women represented are between what two heights? (Round to one decimal place) 6. Professional female volleyball players are usually 6 feet tall or taller. Using the normal curve above, approximately what proportion of women are tall enough to play professional volleyball? Answer as a percent rounded to two decimal places. 7. About how many women would be tall enough to play professional volleyball out of 100,000 women? Refer to problem 6