Use technology or a z-score table to answer the question. the weights of boxes of rice produced at a factory are normally distributed with a mean of 24 ounces and a standard deviation of 1.3 ounces. consider a shipment of 1200 boxes of rice. how many of the boxes will weigh 25 ounces or less

Question

Mathematics

Abraham Herrera

28 April, 05:46

Use technology or a z-score table to answer the question. the weights of boxes of rice produced at a factory are normally distributed with a mean of 24 ounces and a standard deviation of 1.3 ounces. consider a shipment of 1200 boxes of rice. how many of the boxes will weigh 25 ounces or less

+2

Answers (1)

Know the Answer?

Rodolfo Hurley · Answer 1

Answer: 77.94% of the boxes will weigh 25 ounces or less.

First, we need to find the z-score (the number of standard deviation from the mean).

(25 - 24) / 1.3 = 0.77

A weight of 25 is 0.77 standard deviations above the mean.

Now, simply use a normal distribution table to determine the percent below this amount. It is about 77.94%.