The distribution of the weights of a sample of 1,350 cargo containers is symmetr

ID: 3350082 • Letter: T

Question

The distribution of the weights of a sample of 1,350 cargo containers is symmetric and bellshaped.

a. According to the Empirical Rule, what percent of the weights will lie between X-1s and X +1s? (Round your answer to 2 decimal places.)

Percent of the weights _%

b. According to the Empirical Rule, what percent of the weights will lie between X and X + 3s? (Round your answer to 2 decimal places).

Percent of the weights _%
c. Below X-3s? (Round your answer to 2 decimal places.)

Percent of the weights _%

The empirical rule can be broken down into three parts:

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations

a) Using above rule we have 68% of the weights will lie between X-1s and X +1s.

Percent of the weights 68%

b) As 99.7% data falls within 3 standard deviations and data is symmetrical so (99.7/2)%=49.85% of the weights will lie between X and X + 3s.

Percent of the weights 49.85%

c) From b) part and using symmetry we have

(50.00-49.85)%=0.15% Below X-3s.

Percent of the weights 0.15%

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