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Chapter 2: Q 47. (page 139)

Potato chips The weights of 9-ounce bags of a particular brand of potato

chips can be modeled by a Normal distribution with mean 渭=9.12ounces and standard deviation 蟽=0.05ounce. Sketch the Normal density curve. Label the mean and the points that are 1,2, and 3 standard deviations from the mean.

Short Answer

Expert verified

Mean =9.12 ounce

Standard deviation =0.05 ounce

Step by step solution

01

Given information

Mean =9.12 ounce

Standard deviation =0.05 ounce

02

Calculation

For 68%

Within 1 standard deviation of the mean

渭鈭�蟽=9.12鈭�0.05=9.07渭+蟽=9.12+0.05=9.17

For 95%

Within 2 standard deviation of the mean

渭鈭�2蟽=9.12鈭�2(0.05)=9.02渭+2蟽=9.12+2(0.05)=9.22

For 99.7%

Within 3 standard deviations of the mean

渭鈭�3蟽=9.12鈭�3(0.05)=8.97渭+3蟽=9.12+3(0.05)=9.27

The graph is

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