Mathematics
Mathematics, 26.01.2021 14:20, 2005briana

Weights of the vegetables in a field are normally distributed. From a sample Carl Cornfield determines the mean weight of a box of vegetables to be 180 oz. with a standard deviation of 8 oz. He wonders what percent of the vegetable boxes he has grouped for sale will have a weight between 169 oz. and 191 oz. Carl decides to answer the following questions about the population of vegetables from these sample statistics. You will use some answers more than once. Carl calculates the z-score corresponding to the weight 169 oz. (to the nearest tenth).

Using the table, Carl sees the percentage associated with this z-score is
.

Carl calculates the z-score corresponding to the weight 191 oz. (to the nearest tenth).

Using the table below, Carl sees the percentage associated with this z-score is
.

Adding these together, Carl sees the percentage between 169 oz. and 191 oz. is
.


Weights of the vegetables in a field are normally distributed. From a sample Carl Cornfield determi

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Weights of the vegetables in a field are normally distributed. From a sample Carl Cornfield determin...

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