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

Question

The distribution of the weights of a sample of 1, 500 cargo containers is symmetric and bellshaped. According to the Empirical Rule, what percent of the weights will lie between X^- -2s and X^- + 2S ? {Omit the "%" sign in your response.) Percent of the weights % According to the Empirical Rule, what percent of the weights will lie between X^- and X^- + 2s? (Round your answer to 4 decimal places. Omit the "%" sign in your response.) Percent of the weights % Below X^- - 2s? (Round your answer to 4 decimal places. Omit the "%" sign in your response.) Percent of the weights %

Explanation / Answer

a. Within 2 deviations both side of mean is 95% of data
Which means .95*1500 = 1425
Answer is 95%

b. Within 2 deviation north of mean is .95/2 = .475 people i.e. 712.5
Answer is 47.5%

c. Below 2 deviation south of mean is .5-.475 = .025 or 2.5% of 1500 = 37.5 or 38 people.
Answer is 2.5%

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