A clothing manufacturer is concerned that the heights of young men aged 18 to 24 might have

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A clothing manufacturer is concerned that the heights of young men aged 18 to 24 might have changed since the patterns in use were first designed. A random sample of young men aged 18 to 24 was selected. The average height in the sample data was 177.2 cm, with a standard deviation of 7.2 cm. A histogram of the sample data was symmetric and bell-shaped. Assuming this sample is representative of the population, what proportion of young men aged 18 to 24 are shorter than 170 cm? What proportion of young men aged 18 to 24 are taller than 199 cm?
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