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The distribution of the weights of a sample of 1,500 cargo containers is symmetr

ID: 3020365 • Letter: T

Question

The distribution of the weights of a sample of 1,500 cargo containers is symmetric and bellshaped. a. According to the Empirical Rule, what percent of the weights will lie between formula73.mml and formula74.mml ? Percent of the weights % b. According to the Empirical Rule, what percent of the weights will lie between formula75.mml and formula76.mml? (Round your answer to 2 decimal places.) Percent of the weights % c. Below formula77.mml? (Round your answer to 2 decimal places.) Percent of the weights % rev: 09_27_2014_QC_55019

Explanation / Answer

Empirically

a) Between Mean +/- 2 (SD) we have 95% of the data

b) Between X and X + 3(SD) we have

0.9987 - 0.5 = 0.4987 or 49.87% of the data

c)

Below X - 3(SD) we have same amount of data points which are above X + 3(SD)

which is equal to 1 - 0.9987

= 0.0013

= 0.13% of data points below X - 3SD

Hope ths helps.

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