Suppose the weight of males follows a symmetrical, bell-shaped distribution with mean 165 pounds and standard deviation 30. Between what two weights will the data capture the middle 99.7%?
Need more information, like how many there are
165 - (2 x 30) to 165 + (2 x 30)
165 - (3 x 30) to 165 + (3 x 30)
None of the above
165 -30 to 165 + 30
Given that the weight of males follows a symmetrical, bell-shaped distribution with mean 165 pounds and standard deviation 30.
Since the distribution is normal hence it follows the empirical rule for standard deviation which says that 68% of data lies within +-1 standard deviation, within 2 Standard deviations the 95% of data lies and 99.7% of data lies within +-3 standard deviations,
So, the correct option would be for middle 99.7% 165 - (3 x 30) to 165 + (3 x 30).
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