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Heights of men on a baseball team have a bell-shaped

1. Heights of men on a baseball team have a bell-shaped distribution with a mean of 177cm and a standard deviation of 5cm. Using the empirical rule, what is the approximate percentage of the men between the following values?

a) 167cm and 187cm

b) 162cm and 192cm

2. Heights of women have a bell-shaped distribution with a mean of 163cm and a standard deviation of 5cm. Using Chebyshev’s theorem, what do we know about the percentage of women with heights that are within 3 standard deviations of the mean? What are the minimum and the maximum heights that are within 3 standard deviations of the mean?

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Basic Statistics: Heights of men on a baseball team have a bell-shaped

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