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Chapter 2: Q. 42 (page 131)

The distribution of weights of 9-ounce bags of a particular brand of potato chips is approximately Normal with mean 渭=9.12ounces and standard deviation蟽=0.05ounces. Draw an accurate sketch of the distribution of potato chip bag weights. Be sure to label the mean, as well as the points one, two, and three standard deviations away from the mean on the horizontal axis.

Short Answer

Expert verified

In order to draw a sketch of how potato chips are distributed, we can use the explanation below.

Step by step solution

01

Given Information

Mean =x炉=9.12ounces

Standard deviation =s=0.05ounce

Empirical rule for normal distribution

02

Explanation

In about 68%of the observations, the mean is within1standard deviation.

x炉-s=9.12-0.05=9.07x炉+s=9.12+0.05=9.17

In about95%of the observations, the mean is within 2standard deviation.

x炉-2s=9.12-2(0.05)=9.02x炉+2s=9.12+2(0.05)=9.22

In about99.7%of the observations, the mean is within3standard deviation.

x炉-3s=9.12-3(0.05)=8.97x炉+3s=9.12+3(0.05)=9.27

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