Ghana Rice Company. (GRC) sells rice to selected shops in Accra. GRC uses an automatic machine to fill the bags of rice. Weights of the bagged rice are approximately normally distributed with a mean of 75 kilograms and a standard deviation of 1.5 kilograms. a) GRC is unable to adjust the mean of the filling machine. However, it is able to adjust the standard deviation of the filling machine. What should be the standard deviation so that no more than 2% of all filled bags weigh more than 71.5 kilograms?

Ghana Rice Company. (GRC) sells rice to selected shops in Accra. GRC uses an automatic machine to fill the bags of rice. Weights of the bagged rice are approximately normally distributed with a mean of 75 kilograms and a standard deviation of 1.5 kilograms. a) GRC is unable to adjust the mean of the filling machine. However, it is able to adjust the standard deviation of the filling machine. What should be the standard deviation so that no more than 2% of all filled bags weigh more than 71.5 kilograms?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

. Ghana Rice Company. (GRC) sells rice to selected shops in Accra. GRC uses an automatic machine to fill the bags of rice. Weights of the bagged rice are approximately normally distributed with a mean of 75 kilograms and a standard deviation of 1.5 kilograms.

a) GRC is unable to adjust the mean of the filling machine. However, it is able to adjust the standard deviation of the filling machine. What should be the standard deviation so that no more than 2% of all filled bags weigh more than 71.5 kilograms?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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